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Curriculum Vitae and Projects |
Papers: Uni-Heidelberg, WIAS and HU Berlin (2002-2011) |
Preprints and Proceedings: WIAS and HU Berlin (2005-2011) |
Conference Talks: WIAS and HU Berlin (2005-2011) |
Conference Talks: EMA University of Greifswald (2011-2014) |
Organized Minisymposiums: WIAS and HU Berlin (2011-2014) |
Organized Minisymposiums: EMA University of Greifswald (2011-2014) |
Organized Minisymposiums: Ruhr University of Bochum (2015-) |
Reseach Lectures 2010-2015 |
Reseach Lectures 2016- |
Pictures of my Awards and Projects |
Teaching at Universities (2004-2018) |

Research Interests
Numerical Analysis. Computational Sciences. Multiscale Analysis. Partial Differential Equations. Stochastic Differential Equations. Coupling and Decomposition Methods. Interface Analysis. Analysis of Parallel Methods. Asynchronous Methods. Mathematical Physics. Statistical Mechanics. Kinetic Theory.

ResearcherID, Citations (Google Scolar), ReserachGate
GoogleScholar Citations of Juergen Geiser
ResearcherID (ORCID) of Juergen Geiser
ResearchGate: Publications of Juergen Geiser
Publons: Publications of Juergen Geiser
Web of Science:Publications of Juergen Geiser (Web of Science ResearcherID I-4737-2016)
Sciprofile: Profile of the Academic Life of Juergen Geiser

Entries in Almanacs of Scientific Scholars and Scientific Researchers
European head of science, Almanac of European Scholars Online
Kuerschner's Almanac of German Scholars Online

Book-Promotions
MathWorks Book Program (Promotion of my Book: Computational Engineering I)
MathWorks Book Program (Promotion of my Book: Computational Engineering II)

Next Conferences and Events

  • Book-Project: Deterministic and stochastic systems: Theory and Application, Springer, to be published 2024.
  • Block-Lecture, Computational Engineering II, Ruhr-University of Bochum, Germany, (Winter-semester 2023/2024), 11.09.-15.09.2023 ( Block-Lecture: Computational Engineering II).

Lecture Awards for the Lectures and Seminars at RUB and Copyright
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  • SS2016: Computational Engineering II: Moodle-Lecture and eLearning components.
  • WS2016/2017: Computational Engineering I: Moodle-Lecture with Exercises and In-Class- and Out-of-Class Concept, Awarded with the Golden eLearning-Label.
  • SS2017: Computational Engineering II: Moodle-Lecture with Moodle-Exercises, In-Class- and Out-of-Class Concept and Gamification-Ideas for the Out-of-Class Concept.
  • SS2017: Examples of the elearning-concepts of the RUB in practial applications, see the Computational Engineering lecture (go to engineering sciences) at Practical application: Computational Engineering I+II
  • WS2017/2018: Computational Engineering I: Moodle-Lecture with Exercises and In-Class- and Out-of-Class Concept, Awarded with the eLearning-Label of the RUB.
  • SS2018: Copy-right of my courses Computational Engineering I and II: The Computational Engineering I and II programs are used by the Ruhr-University Bochum with my consent in research and teaching (signed by the president of the Ruhr-University of Bochum, done May 2018).
  • SS2018: eLearning-Label of the RUB for the lectures: Computational Engineering II and Computational Hydrodynamics, September 2018).

Quick-Links

Contact Address:

PD Dr. Juergen Geiser,
Ruhr University of Bochum,
Department of Electrical Engineering and Information Technology,
Universitaetsstrasse 150,
D-44801 Bochum, Germany,
e-mail :
juergen.geiser(at)ruhr-uni-bochum.de
Web-Page at RUB : Web-Page at Ruhr-University Bochum, Bochum, Germany

Latest Projects

  • Modelling of Gas and Plasma Bubbles,
    Level-Set methods and splitting approaches.
    April-December 2019, Luxembourg, L.

  • Splitting algorithms for Hydrodynamics Equations,
    Splitting Analysis.
    April-December 2018, Warwick, UK.

  • Multiscale and Splitting algorithms for Fokker Planck and Langevin Equations,
    Stability and Convergence Analysis.
    January-December 2017, London, UK.

  • elearning Lecture: Computational Engineering I + II,
    lecture project with in-class phases (presence block-lectures) and out-of-class phases (individual learning blocks)
    2016-2017, Bochum, Germany, Lecture award 2016.

  • Asynchronous algorithms: Coupled Parareal and Waveform-relaxation schemes for Heat Equations, Stability and Convergence theory.
    May 2016, Paris, France.

  • Asynchronous algorithms: Coupled Parareal and Waveform-relaxation schemes for Differential Algebraic Equations, Convergence theory.
    September 2015 - February 2016, Paris, France.

  • Asynchronous algorithms: Multi-iterative and Waveform-relaxation schemes, Convergence theory.
    April - June 2015, Paris, France.

  • Plasma processes: Self Consistent Simulations, PIC and MC Simulations, Adaptivity and Parallelisation.
    2011-2014, Greifswald, Germany.

Short Vita

  • Apr. 1999 - Jan. 2004, University of Heidelberg, Germany, PhD student, Project: Numerical Simulation of Contaminant Transport in a Waste Disposal.

  • Feb. 2004, PhD, University of Heidelberg, Germany.

  • Feb. 2004 - May 2004, Texas A and M University, Texas, USA, Visiting professor, Project: Discretization and solver methods for Multiphysics Problems.

  • Jun. 2004 - Jul. 2004, University of Heidelberg, Germany, Research assistant, Project: Transport and reaction processes.

  • Aug. 2004 - Jan. 2006, WIAS, Weierstrass Institute for Applied Analysis and Stochastics, Berlin , Germany, Research assistant, Project: Optimal control of sublimation growth of SiC bulk single crystals.

  • Feb. 2006 - Jun. 2007, Researcher, Humboldt-University of Berlin, Germany, Research assistant and lecturer, Project: Adaptive Spatial Discretization.

  • July 2007 - June 2011, Researcher, Humboldt University of Berlin, Germany, Project: Nano-coated metal for bipolar plates of PEFC: Modeling and simulation of multi-scale equations.

  • Sept. 2011 - Sept. 2014, Researcher, EMU University of Greifswald, Germany, Project: Development and Validation of a Softwarepackage for Plasmatransport.

  • Dec. 2012, Cumulative Habilitation, Ruhr-University of Bochum, Germany.

  • June 2013 -, PD (Associate Professor, Lecturer), Ruhr-University of Bochum, Germany, Lecturer: Computational Engineering.

  • January 2015 - May 2016, Visiting Professor and Associate Professor, Centrale Supelec, Chatenay-Malabry, Cedex, France, Associate Professor at the Mathematics in Interaction with Computer Sciences Laboratory.

  • January 2017 - July 2017, Short-Term Reader, Imperial College London, London, UK, Short-Term Reader at the Department of Mathematics.

  • Febr. 2018 -, Visiting Professor (Lecturer), Ruhr-University of Bochum, Germany, Lecturer: Computational Hydrodynamics Lecturer at the Master Course Programme Computational Engineering

  • April 2018 - December 2018, Short-Term Reader, University of Warwick, Warwick, UK, Short-Term Reader at the Mathematics Institute.

  • April 2019 - December 2019, Short-Term Reader, University of Luxembourg, Luxembourg, L, Short-Term Reader at the Faculty of Science, Technology and Communication.

  • September 2019 - July 2023, Senior Scientist, Theoretical Electrical Engineering, Ruhr-University of Bochum, Germany, Senior Researcher: Mathematical modelling and Scientific Computing.

  • February 2021 - August 2023, Teacher and Lecturer, Grammar School in Berlin and Nauen, instructions and lectures in Mathematics and Informatics, School-project as a teacher for junior and senior classes, Berlin and Nauen, Germany.

  • August 2023 -, Senior Scientist, Theoretical Electrical Engineering, Ruhr-University of Bochum, Germany, Senior Researcher: Mathematical modelling and Scientific Computing.

Publications

Theses

  1. J. Geiser, Modelling and Simulation of Transportproblems with Mathematical Splitting Techniques. Cumulative Habilitation Thesis, University of Bochum, Germany, 2013.
  2. J. Geiser, Discretisation methods for systems of convective-diffusive-dispersive-reactive equations and applications. Doctoral Thesis, University Heidelberg, Germany, 2004.
  3. J. Geiser, An examination of the ocillation at the sound-board on a cembalo : Reduction into 2 space-dimensions. Diploma thesis, University of Stuttgart, Germany, 1998.

Articles in Refereed Scientific Journals (Start October 2011)

  1. J. Geiser, Iterative Operator Splitting Methods for Solving Time-Dependent Problems. Applied Mathematics Letters, Elsevier, North Holland, accepted October 2011.

  2. J. Geiser and St. Guettel, Coupling methods for Heat-Transfer and Heat-Flow: Operator Splitting and the Parareal Algorithm. Journal of Mathematical Analysis and Applications, Elsevier, North Holland, accepted October 2011 (online available: http://dx.doi.org/10.1016/j.jmaa.2011.10.030) .

  3. J. Geiser, Iterative operator - splitting methods with embedded discretization schemes. Communications in Mathematics and Applications, RGN Publications, Delhi, India, Vol.3, Number 2, 2012.

  4. J. Geiser, Operator Splitting Methods combined with Multi-grid Methods. Journal of Modern Mathematics Frontier (JMMF), The World Academic Publishing, Hong Kong, China, accepted May 2012.

  5. J. Geiser, Splitting Approach to coupled Navier Stokes and Molecular Dynamics Simulation. Journal of Computations and Modelling (JCoMod), Communications in Mathematics and Applications, Scienpress Ltd, UK, Volume 2, Issue 2, 1-34, 2012.

  6. J. Geiser and M. Arab, Simulation for Chemical Vapor Deposition: Multiple Species Transport and Optimal Mixture of the Gaseous Species. IJIPM, International Journal of Information Processing and Managing, AICIT, Korea, Vol. 3, No. 4, pp. 88-105, 2012 .

  7. J. Geiser, Multiscale Methods for Levitron Problems: Theory and Applications. Computers and Structures, Elsevier, North Holland, available online, November 2012.

  8. J. Geiser and R. Calov, Operator-Splitting Methods Respecting Eigenvalue Problems for Shallow Shelf Equations with Basal Drag. Coupled Systems Mechanics, Techno-Press, Yuseong-gu Daejeon, Korea, 1(4): 325-343, 2012.

  9. E.J. Kansa and J.Geiser, Numerical Solution to Time Dependent Four-Dimensional Inviscid Burgers' Equations. Engineering Analysis with Boundary Elements, Elsevier, North Holland, accepted, January 2013.

  10. J. Geiser, Multiscale Modeling of PE-CVD Apparatus: Simulations and Approximations. Invited Paper to Special Issue on "Multiscale Simulations in Soft Matter", accepted, January 2013.

  11. J. Geiser, Coupled Navier Stokes- Molecular Dynamics Simulation using Iterative Operator-Splitting Methods. Computers and Fluids, Elsevier, North Holland, accepted, February 2013.

  12. J. Geiser, An Iterative Splitting Approach for Linear Integro-Differential Equations. Applied Mathematics Letters, Elsevier, North Holland, accepted, May 2013.

  13. J. Geiser, Iterative Splitting Methods for Multiscale Problems. Proceeding Paper, DCABES 2013 (2.-4. September, 2013), London, UK, accepted, June 2013.

  14. J. Geiser, Nonlinear Extension of Multiproduct Expansion Schemes and Applications to Rigid Bodies. International Journal of Differential Equations, Hindawi Publishing Corporation, New York, USA, August 2013.

  15. J. Geiser, Embedded Zassenhaus Expansion to Splitting Schemes: Theory and Multiphysics Applications. International Journal of Differential Equations, Hindawi Publishing Corporation, New York, USA, August 2013.

  16. J. Geiser, Multiscale splitting for stochastic differential equations: applications in particle collisions. Journal of Coupled Systems and Multiscale Dynamics, American Scientific Publishers, Valencia, CA, USA, August 2013.

  17. K.F. Lueskow, J. Duras, O. Kalentev, K. Matyash, J. Geiser, R. Schneider and D. Tskhakaya. Non-Equidistant Particle-In-Cell for Ion Thruster Plumes. IEPC-2013-067, Proceeding of the 33rd International Electric Propulsion Conference, The George Washington University, Washington, D.C., USA, October 2013.

  18. J. Geiser. Model Order Reduction for Numerical Simulation of Particle Transport Based on Numerical Integration Approaches. Mathematical and Computer Modelling of Dynamical Systems, Taylor and Francis, Abingdon, UK, accepted October 2013.

  19. J.Geiser, K.F.Lueskow and R.Schneider. Levitron: Multiscale Analysis of Stability. Dynamical Systems, Taylor and Francis, Abingdon, Oxford, UK, accepted November 2013.

  20. J.Geiser. Multiscale Splitting Method for the Boltzmann-Poisson Equation: Application to the Dynamics of Electrons. International Journal of Differential Equations, vol. 2014, Article ID 178625, 8 pages, 2014.

  21. J.Geiser and M.Beauregard. An Extrapolated splitting method for solving semidiscretized parabolic differential equations. International Journal of Computer Mathematics, Taylor and Francis, accepted March 2014.

  22. J.Geiser. Additive via Iterative Splitting Schemes: Algorithms and Applications In Heat-Transfer Problems. in P. Ivanyi, B.H.V. Topping, (Editors), Proceedings of the Ninth International Conference on Engineering Computational Technology, Civil-Comp Press, Stirlingshire, UK, Paper 51, 2014. doi:10.4203/ccp.105.51.

  23. J.Geiser. Iterative Splitting via Cyclic Operator Decomposition: Algorithms and Applications in Harmonic Oscillator Problems. in P. Ivanyi, B.H.V. Topping, (Editors), Proceedings of the Ninth International Conference on Engineering Computational Technology, Civil-Comp Press, Stirlingshire, UK, Paper 50, 2014. doi:10.4203/ccp.105.50.

  24. J.Geiser, K.F.Lueskow and R.Schneider. Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application if the Levitron. Lecture Notes in Computer Science (LNCS), Springer-Verlag, Proceeding of the 6th Conference on FDM, accepted May 2014.

  25. J.Geiser. Multi-Scale Methods for Transport Problems: Theory and Applications. in P. Ivanyi, B.H.V. Topping, (Editors), Computational Methods for Engineering Technology, Saxe-Coburg Publications, Stirlingshire, Scotland, Chapter 7, 157-190, 2014.

  26. J.Geiser. Iterative splitting methods for integro-differential equations: Theory and Applications. Journal of Applied Mathematics, Hindawi Publishing Corporation, New York, USA, Vol. 2014, Article ID 812137, 12 pages, 2014.

  27. J.Geiser. Recent Advances in Splitting Methods for Multiphysics and Multiscale: Theory and Applications. Journal of Algorithms and Computational Technology, Multi-Science, Brentwood, Essex, UK, accepted August 2014 (to be published second issue 2015).

  28. J.Geiser. A Multiple Iterative Splitting Method for Higher Order Differential Equations. Journal of Mathematical Analysis and Applications, Elsevier, North Holland, accepted December 2014.

  29. J.Geiser. Modelling of Langevin Equations by the Method of Multiple Scales. International Federation of Automatic Control's Conference (IFAC), Proceeding of MATHMOD Conference 2015, Vienna, Austria, 18-20 February 2015, accepted January 2015.

  30. J.Geiser. Modelling Approach for Mobile and Immobile Transport Problems with Multiple Time-Scales. International Federation of Automatic Control's Conference (IFAC) , Proceeding of MATHMOD Conference 2015, Vienna, Austria, 18-20 February 2015, accepted January 2015.

  31. J.Geiser and D.Sheen. Laplace Transform Method for parabolic problems with time-dependent and nonlinear coefficients: Magnus integrator and linearization. AIP Conference Proceedings Paper, ICNAAM 2015 (23.-29. September, 2015), Rhodes, Greece, accepted August 2015.

  32. J.Geiser and F.Riedel. Integrators for Particle in Cell Methods: Comparison and Applications. AIP Conference Proceedings Paper, ICNAAM 2015 (23.-29. September, 2015), Rhodes, Greece, accepted August 2015.

  33. J. Duras, O. Kalentev, R. Schneider, K. Matyash, K.F. Lueskow and J. Geiser. Monte-Carlo re-deposition model during terrestrial measurements of ion thrusters. Acta Polytechnica 01/2015, 55(1):7-13, 2015.

  34. J.Geiser. Iterative Solvers for the Maxwell-Stefan Diffusion Equations: Methods and Applications in Plasma and Particle Transport. Cogent Mathematics, Taylor and Francis, accepted September 2015.

  35. J.Geiser. Picard's Iterative method for nonlinear Multicomponent Transport Equations. Cogent Mathematics, Taylor and Francis, accepted February 2016.

  36. J. Geiser. Multiscale Modeling of Solute Transport Through Porous Media Using Homogenisation and Splitting Methods. Mathematical and Computer Modelling of Dynamical Systems, Taylor and Francis, Abingdon, UK, accepted March 2016.

  37. J. Geiser, J.L. Hueso and E. Martinez. New versions of iterative splitting methods for the momentum equation. Journal of Computational and Applied Mathematics, available online, June 2016.

  38. J.Geiser. Iterative Splitting Method as Almost Asymptotic Symplectic Integrator for Stochastic Nonlinear Schroedinger Equation. AIP Conference Proceedings Paper, ICNAAM 2016 (19.-25. September, 2016), Rhodes, Greece, accepted August 2016.

  39. J.Geiser. Additive and Iterative Splitting Methods for Multiscale and Multiphase Coupled Problems. Journal of Coupled Systems and Multiscale Dynamics, published by the American Scientific Publishers, Valencia, California, USA, accepted January 2017.

  40. J.Geiser and K.Bartecki. Additive, Multiplicative and Iterative Splitting Methods for Maxwell Equations: Algorithms and Applications. AIP Conference Proceedings Paper, ICNAAM 2017 (25.-30. September, 2017),Thessaloniki, Greece, accepted August 2017.

  41. J. Geiser. Multiscale Modelling and Splitting Approaches for Fluids composed of Coulomb-interacting Particles. Special-Issue: Problems with Multiple Time-scales Mathematical, Journal: Mathematical and Computer Modelling of Dynamical Systems, edited by J.Geiser, Taylor and Francis, Abingdon, UK, accepted January 2018.

  42. J. Geiser. Iterative Semi-implicit Splitting Methods for Stochastic Chemical Kinetics. Lecture Notes in Computer Sciences, Proceeding of the Seventh Conference on Finite Difference Methods: Theory and Applications, June 11-16, 2018 Lozenetz, Bulgaria, accepted June 2018.

  43. J.Geiser and A.Nasari. Simulation of Multiscale Schroedinger Equation with Extrapolated Splitting Approaches. AIP Conference Proceedings Paper, ICNAAM 2018 (13.-18. September, 2018), Rhodes, Greece, accepted August 2018.

  44. J.Geiser. Operator Splitting Approaches of Deposition of Brownian Particles based on Fokker-Planck Equation. AIP Conference Proceedings Paper, ICNAAM 2018 (13.-18. September, 2018), Rhodes, Greece, accepted August 2018.

  45. J.Geiser. Modelling and Analysis of Multiscale Systems related to Fluid Dynamical Problem (Editorial). Mathematical and Computer Modelling of Dynamical Systems Methods, Tools and Applications in Engineering and Related Sciences Volume 24, 2018 - Issue 4: Modelling and Analysis of Multiscale Systems related to Fluid Dynamical Problem, Pages 315-317, 2018.

  46. J.Geiser. Iterative semi-implicit splitting methods for stochastic chemical kinetics. Conference Proceedings: Seventh International Conference, FDM:T & A 2018 Lozenetz, Bulgaria, June 11-26, 2018, Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, no. 11386: 32-43, 2018.

  47. J.Geiser and K.Bartecki. Iterative and Non-iterative Splitting approach of the stochastic inviscid Burgers' equation. AIP Conference Proceedings Paper, ICNAAM 2019 (23.-28. September, 2019), Rhodes, Greece, accepted August 2019.

  48. J.Geiser and A.Nasari. Comparison of Splitting Methods for Coupled Nonlinear Gross–Pitaevskii Equation. Mathematical and Computational Applications, MDPI, Basel, Switzerland, accepted August 2019, (Paper: Math. Comput. Appl. 2019, 24, 76).

  49. J.Geiser, J.L. Hueso and E.Martinez. Parallel iterative Splitting Methods: Algorithms and Applications. AIP Conference Proceedings Paper, ICNAAM 2019 (23.-28. September, 2019), Rhodes, Greece, accepted August 2019.

  50. J.Geiser and P.Mertin. A Near–Far-Field Model for Bubbles Influenced by External Electrical Fields. Applied Sciences, MDPI, Basel, Switzerland, accepted November 2019 (Paper: Applied Sciences 2019, 9, 21).

  51. J.Geiser. Numerical Picard iteration methods for simulation of non-Lipschitz stochastic differential equations. Special-Issue: Symmetry in Splitting Methods for Partial and Stochastics Differential Equations, edited by J.Geiser, Symmetry, MDPI, Basel, Switzerland, accepted February 2020 (Paper: Symmetry 2020, 12(3), 383).

  52. J.Geiser, J.L. Hueso and E.Martinez. Adaptive Iterative Splitting Methods for convection-diffusion-reaction equations. Special-Issue: New Trends in Solving Partial Derivative Equations and Nonlinear Integral Equations by Splitting Techniques and Nonlinear Iterative Methods, edited by E.Martinez and J.Geiser, Mathematics, MDPI, Basel, Switzerland, accepted February 2020 (Paper: Mathematics 2020, 8(3), 302).

  53. J.Geiser and D.Ogiermann. Adaptive-iterative implicit methods for solving hodgkin-huxley type systems. AIP Conference Proceedings 2425, 420007 (2022) (Conference paper: ICNAAM 2022).

  54. J.Geiser and L.Schimansky-Geier. Solver methods for nonlinear diffusion equation: Demixing of two species. AIP Conference Proceedings 2425, 420006 (2022) (Conference paper: ICNAAM 2022).

Preprints in arxiv (http://arxiv.org)

  1. J. Geiser and F. Riedel: Comparison of Integrators for Electromagnetic Particle in Cell Methods: Algorithms and Applications, arXiv:1411.0816 (Preprint arxiv:1411.0816), November 2014.

  2. J. Geiser and V. Yaghoubi: Effective Simulation Methods for Structures with Local Nonlinearity: Magnus integrator and Successive Approximations, arXiv:1411.7134 (Preprint arxiv:1411.7134), November 2014.

  3. J. Geiser: Iterative Splitting Methods: Almost Asymptotic Symplectic Integrator for Stochastic Nonlinear Schroedinger Equation, arxiv:1412.1363 (Preprint arxiv:1412.1363), December 2014.

  4. J. Geiser: Numerical Methods of the Maxwell-Stefan Diffusion Equations and Applications in Plasma and Particle Transport, arxiv:1501.05792 (Preprint arxiv:1501.05792), January 2015.

  5. J. Geiser: Multi-stage waveform Relaxation and Multisplitting Methods for Differential Algebraic Systems, arxiv:1601.00495 (Preprint arxiv:1601.00495), January 2016.

  6. J. Geiser: Iterative Splitting Methods for Coulomb Collisions in Plasma Simulations, arxiv:1706.06744 (Preprint arxiv:1706.06744), June 2017.

  7. J. Geiser and A. Nasari: Simulations of Multiscale Schroedinger Equations with Multiscale Splitting Approaches: Theory and Application, arxiv:1805.11840 (Preprint arxiv:1805.11840), June 2018.

  8. J. Geiser and P. Mertin: Modelling approach of a near-far-field model for bubble formation and transport, arxiv:1809.00899 (Preprint arxiv:1809.00899), September 2018.

  9. J. Geiser and A. Nasari: Comparison of Splitting methods for Gross-Pitaevskii Equation, arxiv:1902.05716 (Preprint arxiv:1902.05716), February 2019.

  10. J. Geiser and D. Ogiermann: Iterative Implicit Methods for Solving Hodgkin-Huxley Type Systems, arxiv:1905.00697 (Preprint arxiv:1905.00697), May 2019.

  11. J. Geiser and K. Bartecki: Iterative and Non-iterative Splitting approach of a stochastic Burgers' equation, arxiv:1907.12747 (Preprint arxiv:1907.12747), July 2019.

  12. J. Geiser: Splitting Methods For Solving Multi-Component Transport Model: A Multicomponent Mixture for Hydrogen Plasma, arxiv:1907.12747 (Preprint arxiv:1907.12747), October 2019.

  13. J. Geiser and P. Mertin: Numerical Simulations of Electrohydrodynamics flow model based on Burgers' Equation with Transport of Bubbles, arxiv:1809.00899 (Preprint arxiv:2005.09254), May 2020.

  14. J. Geiser: Splitting Approach for Solving Multi-Component Transport Models with Maxwell-Stefan-Diffusion, arxiv:2306.14488 (Preprint arxiv:2306.14488), June 2023.

Preprints in MDPI (http://www.preprints.org)

  1. J. Geiser, E. Martinez and J.L. Hueso: Serial and Parallel Iterative Splitting Methods: Algorithms and Applications, (Preprint preprints201912.0181.v1), December 2019.

Talks and Presentations

Conference Lectures, Workshop Lectures and Invited Lectures (2011-)

  1. Workshop, (Prof. Helander, Max-Planck Institute for Plasma-Physics, Greifswald, Germany, Lecture: Numerical Methods for Multiscale Problems, December 7th 2011 (Location: Liebenberg, Berlin).
  2. Status Meeting, (Prof. Schneider, Institut of Physics, Greifswald, Germany, Lecture: Adaptive PIC: Theory and Application, March 15th 2012 (Location: Greifswald, Germany).
  3. Conference, (Prof. Podhaisky, NUMDIFF-13, Martin-Luther-University Halle-Wittenberg, Germany), Lecture: Multi-product operator splitting of solving differential equations: Theory and Application, 10-14 September, 2012.
  4. Workshop, (Prof. Sonnendruecker, Max-Planck Institute for Plasma-Physics, Garching, Germany), Lecture: Adaptive and Multiscale PIC for Electromagnetic Problems, 8-12 October, 2012.
  5. Minisymposium, (7th Conference of Prof. Bathe, MIT, Cambridge, MA, USA), Lecture: Recent advances in splitting methods for Multiscale Problems, 12-14 June, 2013.
  6. Minisymposium on Advanced Decomposition Methods for Partial Differential Equations, (Prof. Lai, University of Greenwich, London, UK), Lecture: Recent Advances in Iterative Splitting Methods, 2-4 September, 2013.
  7. Research-Seminar, (Prof. Sonnendruecker, Max-Planck Institute for Plasma-Physics, Garching, Germany), Lecture: Iterative Splitting Methods for Particle Simulation of Coulomb Collisions in Plasma, 11-12 March, 2014.
  8. Congreso de la RSME, (together with Prof. Martinez and Professor Hueso, Universitat Politecnica de Valencia, Spain), Lecture: Applying iterative methods in the Splitting technique for solving partial differential equations, Granada, Spain, 2-6 February, 2015.
  9. Minisymposium, (SciCADE 2015, University of Potsdam, Germany, September 14-18, 2015), Lecture 1: Recent advanced in Iterative Splitting Methods for Multicomponent and Multiscale: Theory and Applications, 14th September, Potsdam, Germany, 2015.
  10. Minisymposium, (SciCADE 2015, University of Potsdam, Germany, September 14-18, 2015), Lecture 2: Asynchronous Multi-Splitting Waveform Relaxation Methods for Differential Equations: Theory and Applications, 14th September, Potsdam, Germany, 2015.
  11. Research Seminar, (Prof. Magoules, Centrale Supelec, MICS laboratory, France), Lecture: Recent advanced in Iterative Splitting Methods for Multicomponent and Multiscale: Theory and Application, Paris, France, 12 November, 2015.
  12. Conference, (69th Annual Gaseous Electronics Conference, October 10-14, 2016, Bochum, Germany, 2016), Lecture: Multicomponent Transportmodel for Normal-Pressure Plasmas: Modelling and Numerical Methods, 11 October, Bochum, Germany, 2016.
  13. Invited Lecture, (Prof. Liebscher, University of Applied Sciences, Merseburg, Germany), Lecture: Exact and Numerical Solutions for Ordinary Differential Equations: Theory and Application, 26th November, Merseburg, Germany, 2016.
  14. Minisymposium, (SciCADE 2017, University of Bath, UK, September 11-15, 2017), Lecture: Recent advanced in Splitting Methods for Multicomponent and Multiscale Problems: Theory and Applications, 12th September, Bath, UK, 2017.
  15. Invited Lecture, (Prof. Linss, University of Hagen, Department of Mathematics, Hagen, Germany), Lecture: Inverted Classroom Concept: Theory and Application for the Lecture Computatinal Engineering I and II, 29th January, Hagen, Germany, 2018.
  16. Research-Seminar, (Prof. Sprittles, University of Warwick, Mathematics Institute, Warwick, UK), Lecture: Multiphasemodels for Gas-Liquid Modells: Theory and Application, 25th April, Warwick, UK, 2018.
  17. Invited Lecture, (Prof. Valkov, University of Ruse, Bulgaria, Seventh Conference on Finite Difference Methods: Theory and Applications, June 11-16, 2018 Lozenetz, Bulgaria), Lecture: Iterative Splitting Methods for Coulomb Collisions in Plasma Simulations, 11th June, Lozenetz, Bulgaria.
  18. Invited Lecture, (Prof. Schneider, University of Applied Sciences, Zwickau, Germany), Lecture: Method of Least-Square Fitting: Theory and Application, 27th June, Zwickau, Germany, 2018.
  19. Conference Lecture (together with Prof. Martinez and Professor Hueso, Universitat Politecnica de Valencia, Spain), (Prof. Podhaisky, NUMDIFF-15, Martin-Luther-University Halle-Wittenberg, Germany), Lecture: Serial and Parallel Iterative Splitting Methods: Algorithms and Applications, 3rd September, 2018.
  20. Research-Seminar, (Prof. Sprittles, University of Warwick, Mathematics Institute, Warwick, UK), Lecture: Modelling approach of near-fare-field bubble-formation: Theory and Application, 26th October, Warwick, UK, 2018.
  21. Congreso de la RSME, (together with Prof. Martinez and Prof. Hueso, Universitat Politecnica de Valencia, Spain), Lecture: Serial and Parallel Iterative Splitting Methods: Algorithms and Applications (Part II), Santander, Spain, 4-9 February, 2019.
  22. Mathematical Colloquium, (Prof. Ehrhardt, Chair of Applied Mathematics/Numerical Analysis, University of Wuppertal, Wuppertal, Germany), Lecture: Splitting Approaches for Fokker-Planck Equations: Theory and Applications, 9th April, Wuppertal, Germany, 2019. Colloquium Lecture.
  23. Research Seminar, (Prof. Bordas, Professor of Computational Mechanics, University of Luxembourg, Luxembourg), Lecture: Modelling of Gas and Plasma Bubbles: Theory and Application, 7th May, Luxembourg, Luxembourg, 2019.
  24. Research Seminar, (Prof. Karlsen, Professor of Differential Equations and Computational Mathematics, University of Oslo, Oslo, Norway), Lectures: Theory and Application of Stochastic Lubrication Equations, University of Oslo, Norway, 02.06.-06.06.2019.
  25. Short Lecture, (Prof. Bordas, Professor of Computational Mechanics, University of Luxembourg, Luxembourg), Lecture: Electrohydrodynamics and Phase-field Modelling: Bubbles in an Electrical Field, 1st October, Luxembourg, Luxembourg, 2019.
  26. Seminar Lectures, (Prof. Brinkmann, Chair of Theoretical Electrical Engineering, Ruhr-University of Bochum, Bochum, Germany), Lecture: Multicomponent Diffusion: Theory and Applications, 27.-29th November, 2019.
  27. Seminar Lecture, (Prof. Klingenberg, Department of Mathematics, University of Würzburg, Würzburg, Germany), Lecture: On diffusion for models of gas mixturtes, 17th December, 2019.

Poster Presentations

  1. J. Geiser, Mixed Discretisation Methods for Discontinuous Galerkin Methods with Analytical Test-functions, IMA, Minneapolis, USA, 2004.

  2. J. Geiser, Overlapping Operator-Splitting Methods and Applications to Stiff Differential Equations, 6 th International Congress on Industrial and Applied Mathematics, 16 - 20 July, 2007, Zurich, Switzerland.

  3. J. Geiser, P. Beckhaus. Es fliesst etwas, das ist sehr klein-Simulation der Nanobeschichtung metallischer Bipolarplatten, MIID 2008, 26.-28.10.08, Landschaftspark, Duisburg, Germany.

  4. J. Geiser. Decomposition Methods for Evolution Equations: Iterative Schemes, BMS Days 2010, 15.-16.02.2010, TU Berlin, Germany, 2010.

  5. J. Geiser. Successive Approximation Methods: Theory and Application, Fifth Conference on Finite Difference Methods: Theory and Applications June 28 - July 2, 2010, Lozenetz, Bulgaria, 2010.

  6. J. Geiser. Decomposition Methods: Iterative Schemes and Parareal, BMS Days 2011, 22.-23.02.2011, TU Berlin, Germany, 2011.

  7. J. Geiser, K.F.Lueskow and R.Schneider. Iterative Implicit Methods for Solving Nonlinear Dynamical Systems: Application in Levitron Problems, Sixth Conference on Finite Difference Methods: Theory and Applications, June 18-23, Lozenetz, Bulgaria, 2014.

  8. J. Geiser, J.L.Hueso and E.Martinez. Applying iterative methods in the Splitting technique for solving partial differential equations, Congreso de la RSME, Granada, Spain, 2-6 February, 2015.

  9. J. Geiser. Multi-stage waveform Relaxation Methods for Differential Algebraic Systems, Sixth Conference on Numerical Analysis and Applications (NAA'16), June 15-22, 2016 Lozenetz, Bulgaria, 2016.

  10. J. Geiser. Coulomb Collision for Plasma Simulations: Modelling and Numerical Methods, 69th Annual Gaseous Electronics Conference, October 10-14, 2016, Ruhr-University of Bochum, Bochum, Germany, 2016.

  11. J. Geiser. Inverted Classroom Concept with In-Class and Out-Of-Class Phases for the Lecture Computational Engineering, Digitalisation in Teaching and Studies, November 15, 2016, Ruhr-University of Bochum, Bochum, Germany, 2016.

Organized Minisymposiums (2015-)

  • The 8th Vienna International Conference on Mathematical Modelling (MATHMOD 2015), Minisymposium: Multiscale-Modelling of Transport- and Flow-Problems, Vienna University of Technology, February 18 - 20, 2015 (Invited minisymposium organizer) MATHMOD2015.

  • SciCADE, the International Conference on Scientific Computation and Differential Equations, Minisymposium-Title: Multiscale and Splitting Methods: Theory and Applications, University of Potsdam, Germany, September 14-18, 2015 (Minisymposium organizer) SciCADE2015.

  • SciCADE, the International Conference on Scientific Computation and Differential Equations, Minisymposium-Title: Splitting methods: Theory and applications, University of Bath, UK, September 11-15, 2017 (Minisymposium organizer) SciCADE2017.

  • FDM:T&A' 2018, the 7th Conference on Finite Difference Methods: Theory and Applications, Minisymposium-Title: Splitting methods for Multicomponent and Multiscale Problems: Theory and Applications, Lozenetz, Bulgaria, June 11-16, 2018 (Minisymposium organizer and invited speaker) FDM2018.

  • ECT 2020, the Eleventh International Conference on Engineering Computational Technology, Minisymposium-Title: Flexible Splitting Methods: Theory and Applications in Engineering Problems, Melia Palma Bay and Palau de Congressos de Palma Mallorca, Spain, 7-10 September 2020 (Editorial board, Minisymposium organizer and invited speaker) ECT2020.

Teaching Experience and Lectures

  • Teaching from 2004 till 2018,
    Teaching at Universities (2004-2018)
  • Computational Engineering II,
    Block-Lecture: Computational Engineering II.
    Ruhr-University of Bochum, Germany,
    Start : Summer-Semester 2019 (Block: April 18.03.-22.03.2019.)
    Block-Lecture SS2019

  • Numerical Analysis and Computational Mechanics
    Lecture: Modelling and Simulation of Particle-Dynamical Models .
    University of Luxembourg, Luxembourg, L,
    Start : Summer-Semester 2019

  • Computational Engineering I,
    Block-Lecture: Computational Engineering I.
    Ruhr-University of Bochum, Germany,
    Start : Winter-Semester 2019/2020 (Block: October 16.09.-20.09.2019.)
    Block-Lecture WS2019/2020

Teaching Awards

  1. eLearning-Label of the Ruhr-University of Bochum, Germany, Juergen Geiser, Lecture: Computational Engineering II (Multiscale Modells in Electrodynamics), Summer-Semester 2016.

  2. Nomination for the golden-eLearning-Label of the Ruhr-University of Bochum, Germany, Juergen Geiser, Project: Computational Engineering I + II, Nominations: Lecture-Notes (Springer-Vieweg Book), Software-Packages and Moodle-Presentation, Summer-Semester 2016.

  3. Awarded for the golden-eLearning-Label of the Ruhr-University of Bochum, Germany (Lecture award 2016), Juergen Geiser, Project: Computational Engineering I + II with presence and individual blocks, Distinguished: Lecture-project: In-class (presence block-lectures) and out-of-class (individual blocks) concept, SS 2016 and WS 2016/2017.

  4. eLearning-Label of the Ruhr-University of Bochum, Germany, Juergen Geiser, Lecture: Computational Engineering II (Multiscale Modells in Electrodynamics), Summer-Semester 2017.

  5. eLearning-Label of the Ruhr-University of Bochum, Germany, Juergen Geiser, Lecture: Computational Engineering I (Multiscale Modells in Transportproblems), Winter-Semester 2017/2018.

  6. eLearning-Label of the Ruhr-University of Bochum, Germany, Juergen Geiser, Lecture: Computational Hydrodynamics I (Discretization and Solver Methods in Hydrodynamics), Summer-Semester 2018.

  7. eLearning-Label of the Ruhr-University of Bochum, Germany, Juergen Geiser, Lecture: Computational Engineering II (Multiscale Modells in Electrodynamics), Summer-Semester 2018.

Books

  • Series: Groundwater Modelling, Management and Contamination, Nova Science Publishers, Inc. New York :
    Discretization and Simulation of Systems for Convection-Diffusion-Dispersion Reactions with Applications in Groundwater Contamination, Monograph, 2008, ISBN: 978-1-60456-612-3

  • Series: Groundwater Modelling, Management and Contamination, Nova Science Publishers, Inc. New York :
    Models and Simulation of deposition processes with CVD apparatus, Monograph, 2009, ISBN: 978-1-60692-325-2

  • Nova Science Publisher :
    Decomposition Methods in Multiphysics and Multiscale Problems, Monograph, Series: Physics Research and Technology, 2010, ISBN: 978-1-61728-611-7

  • CRC Press, Taylor and Francis Group :
    Decomposition Methods for Differential Equations: Theory and Applications, Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series, edited by Magoules and Lai, 2009.

  • Hindawi Publishing Cooperation:
    Mathematical and Numerical Modeling of Flow and Transport, Journal of Applied Mathematics, edited by S.Sun, Z.Chen, J.Geiser, E. W.Jenkins , 2010.

  • CRC Press, Taylor and Francis Group :
    Iterative Splitting Methods for Differential Equations, Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series, edited by Magoules and Lai, 2011.

  • Nova Science Publisher :
    Simulation of Deposition Processes with PECVD Apparatus: Theory and Applications, Monograph, Series: Materials Science and Technologies, ISBN: 978-1-62100-365-6, First quarter of 2012.

  • German National Library of Science and Technology, (TIB) Hannover, Germany.
    Nanobeschichtete, metallische Bipolarplatten fuer PEFC: Projektes 03SF0325E, Final Report of the BMBF Metall-Bip Project, online published June 2011.

  • CRC Press, Taylor and Francis Group :
    Coupled Systems: Theory, Models, and Applications in Engineering, Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series, edited by Magoules and Lai, 2014.

  • Springer International Publishing AG :
    Multicomponent and Multiscale Systems - Theory, Methods, and Applications in Engineering, Springer Science and Business Media, 2016.

  • Taylor and Francis:
    Problems with Multiple Time-scales Mathematical, Journal: Mathematical and Computer Modelling of Dynamical Systems (Special Issue), edited by J.Geiser, to be published winter 2017.

  • Springer Vieweg :
    Computational Engineering I: Transport Problems, Springer Media, May 2018 ( Book Computational Engineering I, 2018).

  • Springer Vieweg :
    Computational Engineering II: Electrodynamics, Springer Media, to be published 2020.

  • Springer International Publishing AG:
    Deterministic ans Stochastic Systems - Theory, Methods and Applications in EngineeringIterative Splitting Methods: Deterministic and Stochastic Approaches, , Springer Science and Business Media, to be published 2020/2021.

  • MDPI (Journal: Symmetry):
    Symmetry in Splitting method for PDEs and SDEs (Special Issue), edited by J.Geiser, to be published 2020/2021 ( Special Issue: Splitting Methods).

  • MDPI (Journal: Mathematics):
    Trends in Solving Partial Derivative Equations and Nonlinear Integral Equations by Splitting Techniques and Nonlinear Iterative Methods (Special Issue), edited by E.Martinez and co-guest editor J.Geiser, to be published 2020/2021 ( Special Issue: Iterative Methods).

Fellowships and Grants

  1. Stipendium for a Visiting Professor at College-Station, Invitation from Dr. Richard Ewing, ISC, Texas A & M University (February-May 2004)

  2. Offer for a Research Collaboration at University of Rousse, Bulgaria, Invitation from Prof. L. Vulkov,
    (annual program for 2006 in porous media)

  3. Stipendium of the Kalkhofen-Rose-Stiftung, Accademie of literature and science, Mainz, Germany,
    (annual program: 1.1.2007-31.12.2007)

  4. Research position of the BMBF-Project, Research Center Juelich (PtJ), Germany,
    Project: Metal-BiP, Nanocoating Metallic Bipolar Plate For PEFC,
    (Research Program for 01.07.2007 - 31.12.2010)

  5. Industrial research project, Dr. Liebau, GWR, Teltow, Germany,
    Project: Operator Splitting for coupled Heat-Flow and Heat-Transfer problems,
    (annual program: May 2010 - December 2010)

  6. Extension of the BMBF-Project, Research Center Juelich (PtJ), Germany,
    Project: Metal-BiP, Nanocoating Metallic Bipolar Plate For PEFC,
    (Alternative Deposition methods: PVD, Sputtering processes)
    (Extension of the Program: 01.01.2010 - 30.06.2011)

  7. Grant for Conference, DAAD-Project, Bonn, Germany,
    Project: Recent Advances in Decomposition Methods for Multiphysics and Multiscale Problems: Theory and Applications
    Conference: 7th M.I.T. Conference on Computational Fluid and Solid Mechanics, Focus: Multiphysics and Multiscale, 12-14 Juni, 2013, M.I.T., Cambridge, MA, USA.

  8. Grant for Visiting Professor, Ecole Central Paris, Paris, France,
    Project: Spatial and Time Decomposition Methods: Theory, Applications and Parallelisation
    High Performance Computing research group at the Applied Mathematics and Systems laboratory, 12.4.-10.5.2015, ECP, Paris, France.

  9. Grant for Short-Term Reader, Central Supelec (former Ecole Central Paris), Paris, France,
    Project: Analysis of Decomposition Methods: Theory, Applications and Parallelisation
    High Performance Computing research group at the Applied Mathematics and Systems laboratory, Central Supelec, Paris, France, 01.09.2015-29.02.2016 (WS 15/16).

  10. Grant for Visiting Professor, Central Supelec, Paris, France,
    Project: Spatial and Time Decomposition Methods: Differential Algebraic Equations
    High Performance Computing research group at the Applied Mathematics and Systems laboratory, 01.09.-30.09.2015, Central Supelec, Paris, France.

  11. Grant for Visiting Professor, Central Supelec, Paris, France,
    Project: Time- and Spatial-Parallel methods for Heat Equations: Stability and Convergence Analysis
    High Performance Computing research group at the Mathematics in Interaction with Computer Science laboratory, 01.05.-31.05.2016, Central Supelec, Paris, France.

  12. Grant for Short-Term Reader, Imperial College London, London, UK,
    Project: Mathematical Physics: Multiscale methods and Splitting approaches for Fokker-Planck equations
    Applied Mathematics and Mathematical Physics Section, Department of Mathematics Imperial College London, UK, 15.01.2017-15.07.2017 (WS/SS 2017).

  13. Grant for Short-Term Reader, University of Warwick, Warwick, UK,
    Project: Splitting Approaches for hydrodynamic equations
    Micro and Nano Flow for Engineering group, Mathematics Institute, University of Warwick, Warwick, UK, 22.04.2018-22.10.2018 (SS 2018 and WS 2018/2019).

  14. Grant for Short-Term Reader, University of Luxembourg, Luxembourg, L,
    Project: Modelling and Simulation of Particle-Dynamics Models
    Computational mechanics group, Faculty of Science, Technology and Tommunication, University of Luxembourg, Luxembourg, L, 24.04.2019-24.10.2019 (SS 2019 and WS 2019/2020).

Memberships

  1. AMS, American Mathematical Society, Academic Membership, (since November 2006).

  2. APS, American Physical Society, Academic Membership, (since May 2016).

Editor, Guest Editor and Editorial Board Member

  1. Modeling and Computation for Flow and Transport (MCFT),
    Guest Editor since 2010.

  2. International Journal of Differential Equations (IJDE),
    Guest Editor since 2013.

  3. Mathematical Problems in Engineering, Hindawi Publishing Corporation (Editorial Board),
    Editor: January-September 2015.

  4. Mathematical and Computer Modelling of Dynamical Systems, Taylor and Francis, Abingdon, Oxford,
    Guest-Editor and Referee since January 2017.

  5. Mathematical and Computational Applications (mca), MDPI, Basel, Switzerland,
    Member of the Editorial-board since August 2019. (Editorial-board member)

Referee and Reviewer

  1. Elsevier, North Holland,
    Referee for the Journals:
    Journal of Computational and Applied Mathematics
    Computer and Structures
    Referee since 2006.

  2. Begell House Inc., Redding, USA
    Referee for the Journals:
    Journal of Porous Media
    Referee since 2006.

  3. International Journal of Computer Mathemtics, Taylor and Francis, UK
    Referee since 2007.
    Section B: Computer Mathematics: Application,

  4. Journal of Electrochemical Society, Pennington, New Jersey, USA
    Referee since 2008.
    Section: Modelling and Simulations,

  5. Mathematical Reviews, Ann Arbor, MI, USA
    Reviewer since 2008.
    Section: Numerical Analysis,

  6. Math. of Comp., AMS, USA
    Referee since 2011.

  7. German Research Fundation, Germany
    Referee since 2012.

  8. SISC, SIAM, USA
    Referee since 2013.

  9. Computer Methods in Applied Mechanics and Engineering (CMAME), Elsevier, North Holland
    Referee since 2014.

  10. IFIP Advances in Information and Communication Technology, Springer, Germany
    Referee since 2014.

  11. IFAC International Federation of Automatic Control's Conference, MATHMOD Confernce 2015
    Referee since 2014.

  12. Vaccum, Elsevier, North Holland
    Referee since March 2015.

  13. Proceedings in Mathematics and Statistics, Springer, Heidelberg, New York, Boston
    Referee since December 2015.

  14. Tyrolean Research Fundation, Innsbruck, Tyrol, Austria
    Referee since June 2016.

  15. FWF Austrian Science Fund, Vienna, Austria
    Referee since December 2016.

  16. The Journal of Analysis, Springer, Heidelberg, New York, Boston
    Referee since December 2016.

  17. Computer Physics Communication, Elsevier, North Holland,
    Referee since November 2017.

  18. Computational Methods in Applied Mathematics, Walter de Gruyter, Berlin, Germany,
    Referee since November 2018.

  19. Journal of Computational and Applied Mathematics, Elservier, North Holland,
    Referee since March 2019.

  20. Numerical Methods for Partial Differential Equations (NMPDE), John Wiley and Sons, Hoboken, New Jersey, USA,
    Referee since March 2019.

  21. Applied Mathematical Letters (AML), Elservier, North Holland,
    Referee since April 2019.

  22. Mathematics and Computers in Simulations (MATCOM), Elservier, North Holland,
    Referee since January 2020.

  23. Inverse Problems in Engineering (GIPE), Taylor and Francis, Abingdon, UK,
    Referee since February 2020.

Software-Packages

  1. Software developped at the HU-Berlin, Germany: OperaSplitt,
    Description: Parabolic Differential equations (e.g., convection-diffusion-reaction equations or transport equations)
    solved with splitting methods and finite difference schemes.
    Language: MATLAB, 2006-2010.

  2. Software developped at the Ruhr-University Bochum, Germany:
    extension of OperaSplit for stochastic differential equations
    Description: Stochastics Differential equations (deterministic/stochastic ODEs, stochastic Burgers' equation)
    solved with finite difference schemes and finite volume schemes for the spatial discretization and with Milstein-scheme for the time discretisation.
    Splitting methods are applied to decompose the deterministic and stochastic terms.
    Language: MATLAB, since 2011, Python, since 2017.

  3. Software developped at the Ruhr-University Bochum, Germany:
    MATLAB-course for the lectures CE I and CE II
    Description: Transport- and Wave-equations (convection-. diffusion- and wave-equation, Maxwell equations)
    solved with finite difference schemes or finite volume schemes for the spatial discretization and with explicit/implicit Euler, Crank-Nicolson or RK-schemes for the time discretisation.
    Splitting methods are also applied to decompose the different operators.
    Language: MATLAB, since 2013.

  4. Software developped at the Ruhr-University Bochum, Germany:
    Software-package of a Schroedinger equation
    Description: stationary and instationary 2D Schroedinger equation
    solved with finite difference schemes or spectral schemes for the spatial discretization and with Crank-Nicolson or RK-schemes for the time discretisation.
    Splitting methods are also applied, e.g., TSSP or iterative splitting schemes.
    Language: MATLAB, since 2018.


    Please let my know your interest and send your feedback to :
    e-mail : juergen.geiser(at)ruhr-uni-bochum.de