Preprints and Conference-Proceedings: WIAS and HU Berlin (2005-2011)


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

  1. J. Geiser: Iterative operator-splitting methods for unbounded operators: Error analysis and examples, arXiv:0904.0160v1 (http://arxiv.org/abs/0904.0160), April 2009.

  2. S. Chin and J. Geiser: Multi-product operator splitting as a general method of solving autonomous and non-autonomous equations, Math Numerical Analysis and Phys Computational Physics, arXiv:1005.2201 [math.NA], April 2010.

Articles in Conference Proceedings

  1. J. Geiser: Discretisation Methods with embedded analytical solutions for convection dominated transport in porous media Proceeding of Numerical Analysis and Applications, Third international conference, Rousse, Bulgaria, 2004, Lect.Notes in Mathematics,vol.3401,(2005),Springer, [article_naa04.ps].

  2. J. Geiser, O. Klein and P. Philip: WIAS-HiTNIHS: Software-tool for simulation in sublimation growth for SiC single crystal : Application and Methods. Proceeding of the International Congress of Nanotechnology and Nano, Oakland, San Francisco, USA, 2004.

  3. J. Geiser: Weighted Iterative Operator-Splitting Methods: Stability-Theory Proceedings of the 6th International Conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006, published in : Lecture Notes in Computer Science, Volume 4310, 40--47, 2007, [http://www.springerlink.com/content/y226q8170x0151w7/].

  4. J. Geiser, Chr. Kravvaritis: Weighted Iterative Operator-Splitting Methods and Applications Proceedings of the 6th International Conference, NMA 2006, Borovets, Bulgaria, August 20-24, 2006, published in : Lecture Notes in Computer Science, Volume 4310, 48--55, 2007, [http://www.springerlink.com/content/0110421l6018rlx4/].

  5. J. Geiser: Domain-DecompositionMethods for Parabolic Problems in Multi- dimensions with error-estimates Special Issue: GAMM Annual Meeting 2006 - Berlin, Wiley Interscience, Pamm, Vol. 6, Iss. 1 , 739--740, published 2007.

  6. J. Geiser, S. Sun: Multiscale Discontinuous Galerkin Methods for Modeling Flow and Transport in Porous Media Proceedings of the International Conference on Computational Sciences, Beijing, China, May 27-30, 2007, to appear in : Lecture Notes in Computer Science, Volume 4487, 890--897, 2007.

  7. Ion Chryssoverghi, Juergen Geiser: Descent-Penalty Methods for Nonlinear Elliptic Relaxed Optimal Control Problems Proceedings of the 6th International Conference on Large-Scale Scientific Computations, Sozopol, Bulgaria, June 5-9, 2007.

Preprints in WIAS, Weierstrass Institute for Applied Analysis and Stochastics, Germany


  1. D. Daoud, J. Geiser, Fractional-Splitting and Domain-Decomposition Methods for Multidimensional Parabolic Problems and Applications. Preprint No. 1096 of the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, January 2006.

  2. J.Geiser, O.Klein, P.Philip, Transient Numerical Study of Temperature Gradients During Sublimation Growth of SiC : Dependence on Apparatus Design. Preprint No. 1080 of the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, December 2005.

  3. I. Chrysoverghi, J. Geiser, Progressively Refining Penalized Gradient Projection Method for Semilinear Parabolic Optimal Control Problems. Preprint No. 1065 of the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, November 2005.

  4. I.Farago, J.Geiser, Iterative Operator-Splitting Methods for Linear Problems. Preprint No. 1043 of the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, June 2005.

  5. J.Geiser, O.Klein, P.Philip, Influence of anisotropic thermal conductivity in the apparatus insulation for sublimation growth of SiC: Numerical investigation of heat transfer. Preprint No. 1034 of the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, May 2005.

  6. J.Geiser, O.Klein, P.Philip, Numerical simulation of heat transfer in materials with anisotropic thermal conductivity: A finite volume scheme to handle complex geometries. Preprint No. 1033 of the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, May 2005.

Preprints in Humboldt Universitaet zu Berlin, Department of Mathematics, Germany


  1. J. Geiser, Discretization methods with analytical solutions for a convection-diffusion-dispersion-reaction-equations and applications in 2D and 3D for waste-scenarios. Preprint No. 2006-2 of Humboldt Universitaet zu Berlin, Department of Mathematics, Germany, February 2006.

  2. I.Chryssoverghi, J.Geiser, B.Kokkonis, and J.Coletsos, Discretization Methods for Nonlinear Elliptic Relaxed Optimal Control Problems. Preprint No. 2006-3 of Humboldt Universitaet zu Berlin, Department of Mathematics, Germany, February 2006.

  3. I.Chryssoverghi, J.Geiser, J.Al-Hawasy, Discretization Methods for Nonlinear Elliptic Optimal Control Problems with State Constraints. Preprint No. 2006-4 of Humboldt Universitaet zu Berlin, Department of Mathematics, Germany, February 2006.

  4. I.Chryssoverghi, J.Geiser, B.Kokkonis, and J.Coletsos, Discretization Methods for Nonlinear Parabolic Relaxed Optimal Control Problems. Preprint No. 2006-7 of Humboldt Universitaet zu Berlin, Department of Mathematics, Germany, February 2006.

  5. J. Geiser, Mixed discretisation methods for the Discontinuous Galerkin method with analytical test-functions. Preprint No. 2006-8 of Humboldt University of Berlin, Department of Mathematics, Germany, 2006.

  6. J. Geiser, J. Gedicke, Iterative Operator-Splitting Methods with higher order Time-Integration Methods and Applications for Parabolic Partial Differential Equations. Preprint No. 2006-10 of Humboldt University of Berlin, Department of Mathematics, Germany, 2006.

  7. J. Geiser, Chr. Kravvaritis, Weighted Iterative Operator-Splitting Methods for stiff problems and applications. Preprint No. 2006-11 of Humboldt University of Berlin, Department of Mathematics, Germany, 2006.

  8. J. Geiser , J. Gedicke, Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations. Preprint No. 2006-17 of Humboldt University of Berlin, Department of Mathematics, Germany, 2006.

  9. J. Geiser, Quasilinear Iterative Operator Splitting Methods Preprint No. 2006-28 of Humboldt University of Berlin, Department of Mathematics, Germany, 2006.

  10. J. Geiser Discretization methods with analytical characteristic methods for advection-diffusion-reaction equations and 2d applications. Preprint 2007-05 of Humboldt University of Berlin, Department of Mathematics, Germany, 2007.

  11. J. Geiser, V. Schlosshauer, Operator-Splitting Methods For Wave-Equations. Preprint 2007-06 of Humboldt University of Berlin, Department of Mathematics, Germany, 2007.

  12. J. Geiser, St. Nilsson, A Fourth Order Split Scheme for Elastic Wave Propagation. Preprint 2007-08 of Humboldt University of Berlin, Department of Mathematics, Germany, 2007.

  13. J. Geiser, L. Noack, Iterative Operator-splitting methods for wave-equations with stability results and numerical examples. Preprint 2007-10 of Humboldt University of Berlin, Department of Mathematics, Germany, 2007.

  14. J. Geiser, Operator-Splitting methods with respect to Eigenvalue-problem for Wave-equations. Preprint 2007-12 of Humboldt University of Berlin, Department of Mathematics, Germany, 2007.

  15. J. Geiser, Discretization methods with analytical solutions for a convection-reaction equation with higher-order discretizations. Preprint 2007-16 of the Humboldt University of Berlin, Department of Mathematics, Germany, 2007.

  16. J. Geiser, Modeling for Chemical Vapor Deposition. Preprint 2007-19 of the Humboldt University of Berlin, Department of Mathematics, Germany, 2007.

  17. J. Geiser, Chr. Kravvaritis, Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method. Preprint No. 2007-23 of the Humboldt University of Berlin, Department of Mathematics, Germany, 2007.

  18. J. Geiser, Modelling for Chemical Vapor Deposition: Meso- and Microscale Model. Preprint No. 2008-01 of the Humboldt University of Berlin, Department of Mathematics, Germany, 2008.

  19. J. Geiser, L. Noack, Iterative operator-splitting methods for nonlinear differential equations and applications of deposition processes. Preprint 2008-4, Humboldt University of Berlin, Department of Mathematics, Germany, 2008.

  20. J. Geiser, Consistency of Iterative Operator-Splitting Methdod: Theory and Applications. Preprint 2008-5, Humboldt University of Berlin, Department of Mathematics, Germany, 2008.

  21. J. Geiser, Chr. Fleck, Adaptive Step-size Control in Simulation of diffusive CVD Processes. Preprint 2008-8, Humboldt University of Berlin, Department of Mathematics, Germany, 2008.

  22. J. Geiser, L. Noack, Operator-Splitting Methods Respecting Eigenvalue Problems for Nonlinear Equations and Application in Burgers-Equations. Preprint 2008-13, Humboldt University of Berlin, Department of Mathematics, Germany, 2008.

  23. J. Geiser, R. Roehle, Modeling and Simulation for Physical Vapor Deposition: Multiscale Model. Preprint 2008-14, Humboldt University of Berlin, Department of Mathematics, Germany, 2008.

  24. J. Geiser, St. Irle, Macro- and Micro-Simulations for a sublimation growth of SiC single crystals. Preprint 2008-15, Humboldt University of Berlin, Department of Mathematics, Germany, 2008.

  25. J. Geiser, Th. Zacher, Mobile and immobile gaseous transport: Embedded analytical solutions to finite volume methods. Preprint 2009-1, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  26. J. Geiser, M. Arab, Simulation of a Chemical Vapor Deposition: Four phase model. Preprint 2009-3, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  27. J. Geiser, S. Chin, Multi-product expansion, Suzuki's method and the Magnus integrator for solving time-dependent problems. Preprint 2009-4, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  28. J. Geiser, R. Steijl, Coupled Navier Stokes - Molecular Dynamics Simulation using Iterative Operator-Splitting Methods. Preprint 2009-11, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  29. J. Geiser, G. Tanoglu, Iterative Operator-Splitting Methods and Continuous and Discrete Case: Theory and Applications. Preprint 2009-13, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  30. J. Geiser, G. Tanoglu, Higher Order Operator-Splitting Methods via Zassenhaus product formula: Theory and Applications. Preprint 2009-15, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  31. J. Geiser, A. Jamneshan, Iterative operator-splitting with time overlapping algorithms: Theory and Application to constant and time-dependent wave equations. Preprint 2009-17, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  32. J. Geiser, F. Krien, Iterative operator-splitting methods for Time-irreversible Systems: Theory and Application to Advection-Diffusion Equations. Preprint 2009-18, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  33. J. Geiser, S. Blankenburg, Monte Carlo simulations concerning elastic scattering with application to DC and high power pulsed magnetron sputtering for Ti3 Si C2. Preprint 2009-20, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  34. J. Geiser, Computation of Iterative operator-splitting methods. Preprint 2009-21, Humboldt University of Berlin, Department of Mathematics, Germany, 2009.

  35. J. Geiser, R. Roehle Kinetic processes and Phase-transition of CVD processes for $Ti_3 Si C_2$. Preprint 2010-1, Humboldt University of Berlin, Department of Mathematics, Germany, 2010.

  36. J. Geiser, Mahmoud Elbiomy Splitting Method of Convection-Diffusion Methods with Disentanglement methods. Disentanglement Methods. Preprint 2010-2, Humboldt University of Berlin, Department of Mathematics, Germany, 2010.

  37. J. Geiser Iterative operator-splitting Method: Error analysis and Examples. Preprint 2010-3, Humboldt University of Berlin, Department of Mathematics, Germany, 2010.

  38. J. Geiser, V. Buck and M. Arab Model of PE-CVD apparatus: Verification and Simulations. Preprint 2010-5, Humboldt University of Berlin, Department of Mathematics, Germany, 2010.

  39. J. Geiser, Monte Carlo simulations concerning modelling DC and high power pulsed magnetron sputtering for Ti3SiC2 including high pressures and ion deposition probabilities. Preprint 2010-06, Humboldt University of Berlin, Department of Mathematics, Germany 2010.

  40. J. Geiser, Magnus integrator and successive approximation for solving time-dependent problems. Preprint 2010-10, Humboldt University of Berlin, Department of Mathematics, Germany 2010.

  41. J. Geiser, Iterative Operator Splitting Methods for Differential Equations: Prooftechniques and Applications. Preprint 2010-14, Humboldt University of Berlin, Department of Mathematics, Germany 2010.

  42. J. Geiser and M. Arab, Porous Media Based Modeling of parallel Plate PE-CVD Apparatus: Approximation to the Experiments with SiC and TiC. Preprint 2010-15, Humboldt University of Berlin, Department of Mathematics, Germany 2010.

  43. J.Geiser, R.Calov and Th.Recknagel, Operator-Splitting Methods Respecting Eigenvalue Problems for Shallow Shelf Equations with Basal Drag. Preprint 2010-17, Humboldt University of Berlin, Department of Mathematics, Germany 2010.

  44. J.Geiser, F.Knuettel, Iterative Operator Splitting Method for Coupled Problems: Transport and Electric Fields. Preprint 2010-18, Humboldt University of Berlin, Department of Mathematics, Germany 2010.

  45. J.Geiser, Iterative Operator Splitting Methods with embedded Multi-grid methods. Preprint 2011-3, Humboldt University of Berlin, Department of Mathematics, Germany 2011.

  46. J.Geiser and Th.Zacher, Timedependent fluid transport: Coupling Framework. Preprint 2011-5, Humboldt University of Berlin, Department of Mathematics, Germany 2011.

  47. J.Geiser and F.Knuettel, Operator Splitting Method for Coupled Problems: Transport and Maxwell Equations. Preprint 2011-6, Humboldt University of Berlin, Department of Mathematics, Germany 2011.

  48. J.Geiser and S.Blankenburg, Plasma and BIAS Modeling: Self-Consistent Electrostatic-Particle-In-Cell with low Density Argon Plasma for TiC. Preprint 2011-7, Humboldt University of Berlin, Department of Mathematics, Germany 2011.

  49. J.Geiser and St.Guettel, Coupling methods for Heat-Transfer and Heat-Flow: Operator Splitting and Parareal. Preprint 2011-8, Humboldt University of Berlin, Department of Mathematics, Germany 2011.

  50. J.Geiser and Th. Zacher, Spatial-dependent and Nonlinear fluid transport: Coupling Framework. Preprint 2011-11, Humboldt University of Berlin, Department of Mathematics, Germany 2011.