Articles in Refereed Scientific Journals

1. J. Geiser, P. Frolkovic, Discretization methods with discrete minimum and maximum property for convection dominated transport in porous media. Proceeding of NMA, 2002.
   
   
2. J. Geiser, Numerical Simulation of a Model for Transport and Reaction of Radionuclides with an explicit coupling Method between Transport and Reaction. Proceeding of Algorithmy, 2002.
   
   
3. J. Geiser, R.E. Ewing, J. Liu, Operator Splitting Methods for Transport Equations with Nonlinear Reactions. in: Computational Fluid and Solid Mechanics 2005, K.J. BATHE, ed., Elsevier, Amsterdam, 1105--1108, 2005.
   
   
4. J.Santos, C.Ravazzoli and J.Geiser On the static and dynamic behavior of fluid saturated composite porous solids: A homogenization approach. International Journal of Solids and Structures, Volume 43, Issue 5, 1224-1238, 2006.
   
   
5. R.Sinha and J.Geiser, Error estimates for finite volume element methods for convection-diffusion-reaction equations. Appl. Numer. Math., 57(1), 59--72, 2007.
   
   
6. I.Farago, J.Geiser, Iterative Operator-Splitting Methods for Linear Problems. International Journal of Computational Science and Engineering , 3(4): 255-263, 2007.
   
   
7. J. Geiser, Discretization methods with embedded analytical solutions for convection-diffusion dispersion-reaction equations and applications. Journal of Engineering Mathematics, Volume 57, Number 1, 79-98, 2007.
   
   
8. J. Geiser, O. Klein, P. Philip, Numerical simulation of temperature fields during the sublimation growth of SiC single crystals, using WIAS-HiTNIHS. Journal of Crystal Growth, Vol. 303, Issue 1, 352--356, 2007, Proceedings of the Fifth Workshop on Modeling in Crystal Growth - IWMCG-5, [http://dx.doi.org/10.1016/j.jcrysgro.2006.11.350].
   
   
9. J. Geiser, O. Klein, P. Philip, Transient numerical study of temperature gradients during sublimation growth of SiC: Dependence on apparatus design. Journal of Crystal Growth 297 (2006), 20 - 32.
   
   
10. 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. Crystal Growth & Design 6 (2006), 2021 - 2028.
    
    
11. D. Daoud, J. Geiser, Overlapping Schwarz Wave Form Relaxation for the Solution of Coupled and Decoupled System of Convection Diffusion Reaction Equation. Applied Mathematics and Computations, Elsevier, Elsevier, 190 (1), 946--964, 2007.
    
    
12. J. Geiser, Operator splitting methods for wave equations. International Mathematical Forum, Hikari Ltd., Vol.2, no.43, 2141 - 2160, 2007.
    
    
13. J. Geiser, Analytical solutions for convection-diffusion-dispersion-reaction-equations with different retardation-factors and applications in 2d and 3d. International Mathematical Forum, Hikari Ltd., Vol. 2, no. 44, 2179 - 2205, 2007.
    
    
14. J. Geiser, Linear and Quasi-Linear Iterative Splitting Methods: Theory and Applications. International Mathematical Forum, Hikari Ltd., Vol. 2, no. 49, 2391 - 2416, 2007.
    
    
15. J. Geiser, Iterative Operator-Splitting Methods with higher order Time-Integration Methods and Applications for Parabolic Partial Differential Equations. Journal of Computational and Applied Mathematics, Elsevier, Amsterdam, The Netherlands, 217, 227-242, 2008.
    
    
16. J. Geiser, A Numerical Investigation for a Model of the Solid-Gas Phase in a Crystal Growth Apparatus. Communications in Computational Physics (CiCP), Global Science Press, Vol.3, No. 4, 913--934, 2008. [http://www.global-sci.com/freedownload/v3_913.pdf]
    
    
17. J. Geiser, Higher-order difference and higher-order splitting methods for 2D parabolic problems with mixed derivatives. International Mathematical Forum, Hikari Ltd., Vol. 2, No. 67, 3339-3350, 2007.
    
    
18. J. Geiser and Chr. Kravvaritis, A Domain Decomposition method based on iterative Operator Splitting method. Applied Numerical Mathematics, 59, 608-623, 2009.
    
    
19. J. Geiser, O. Klein and P. Philip, A finite volume scheme designed for anisotropic heat transfer in general polyhedral domains. Advances in Mathematical Sciences and Application, Gakkotosho Tokyo, Japan, vol. 18, No. 1, 43-67, 2008.
    
    
20. J. Geiser and S. Sun, Multiscale Discontinuous Galerkin Methods and Operator-Splitting Methods for Modeling Subsurfaces Flow and Transport. Special Issue, International Journal for Multiscale Computational Engineering, Begell House Inc., Redding, Connecticut, USA, Vol. 6, Iss. 1, 2008.
    
    J. Geiser, Analytical and Numerical solutions for Convection-Diffusion-Dispersion-Reaction Equations with general Initial-Conditions: Theory and Applications. In: Groundwater Modelling, Management and Contamination, Editors: L.F. Konig and J.L. Weiss, Nova Science Publishers, Inc., New York, USA, 217-247, 2008.
    
    
21. J. Geiser, Discretization methods with analytical solutions for a convection-reaction equation with higher-order discretizations. International Journal of Computer Mathematics, Taylor and Francis, New York, Vol. 86, Iss.1, 163-183, 2009.
    
    
22. J. Geiser, A posteriori error estimate for finite volume approximations of nonlinear heat equations. Mathematical Sciences, Islamic AZAD University-Karaj Branch, vol.1, no. 3, 19-32, 2007.
    
    
23. J. Geiser and Chr. Kravvaritis, Overlapping operator splitting methods and applications in stiff differential equations. Special issue: Novel Difference and Hyprod Methods for Differential and Integro-Differential Equations and Applications, Guest editors: Qin Sheng and Johnny Henderson, Neural, Parallel, and Scientific Computations (NPSC), 16, 189-200, 2008.
    
    
24. J. Geiser, Operator-Splitting Methods Respecting Eigenvalues Problems. Special issue: Novel Difference and Hyprod Methods for Differential and Integro-Differential Equations and Applications, Guest editors: Qin Sheng and Johnny Henderson, Neural, Parallel, and Scientific Computations (NPSC), 16, 225-236, 2008.
    
    
25. J. Geiser, Discretization methods with analytical characteristic methods. Mathematical Sciences, Islamic AZAD University-Karaj Branch, accepted February 2008.
    
    
26. J. Geiser and M.Arab, Modelling for Chemical Vapor Deposition: Meso- and Microscale Model. International Journal of Applied Mathematics and Mechanics (IJAMM), Hong Kong, China, Vol. 4, 24-45, 2008.
    
    
27. J. Geiser, Overlapping Operator Splitting Methods and Applications in Convection-Diffusion Equations. WASET, EEEng, accepted March, 2008.
    
    
28. J. Geiser, Discretisation and Solver Methods with Analytical Methods for Advection-Diffusion-reaction Equations and 2D Applications. Journal of Porous Media, Begell House Inc., Redding, USA, vol 12, iss. 7, 613-638, 2008.
    
    
29. J. Geiser, R. Roehle, Simulation of a multi-component transport model for the chemical reaction of a CVD-process. WASET, EEEng, Vol. 2, Nr. 2, 86-94, 2008. [http://www.waset.org/ijms/v2/v2-2-16.pdf]
    
    
30. J. Geiser, Iterative Operator-Splitting Methods for Stiff Problems in Complex Applications. Journal of Convergence Information Technology, Korea, Vol.3, No.1., March, 2008.
    
    
31. J. Geiser, A fourth order method for time-dependent differential equations. Numerical Mathematics: Theory, Methods and Applications, Global science press, Hong Kong, China, 1(3), 321-339, 2008.
    
    
32. J. Geiser, Operator-Splitting Methods Respecting Eigenvalue Problems for Convection-Diffusion and Wave Equations. International Journal of Applied Mathematics and Mechanics (IJAMM), Hong Kong, China, Vol. 4, 24-45, 2008.
    
    
33. J. Geiser and M. Arab, Modelling, Optimzation and Simulation for a Chemical Vapor Deposition. Journal of Porous Media, Begell House Inc., Redding, USA, 12(9): 847-867, 2009.
    
    
34. J. Geiser, Consistency of Iterative Operator-Splitting Methdod: Theory and Applications. NMPDE, published online, 2009, http://www3.interscience.wiley.com/journal/107630294/issue. 2008.
    
    
35. J. Geiser, Stability of Iterative Operator-Splitting Methdods. International Journal of Computer Mathematics, Volume 87, Issue 8, pp. 1857-1871, 2010.
    
    
36. J. Geiser, Discretization methods with analytical characteristic methods and applications. M2AN, EDP Sciences, France, vo. 43, no. 6, 27pp, November 2009.
    
    
37. J. Geiser and M. Arab, Simulation for Chemical Vapor Deposition: Thin-layer geometry. International Journal of Applied Mathematics and Mechanics (IJAMM), Hong Kong, China, 4(6): 78 - 104, 2008.
    
    
38. J. Geiser, Operator-Splitting methods respecting eigenvalue problems for convection diffusion and wave equations. International Journal of Applied Mathematics and Mechanics (IJAMM), Hong Kong, China, 4(5):93-104, 2008.
    
    
39. J. Geiser, A Higher Order Splitting Method for Elastic Wave Propagation. International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Corp., New York, USA, Volume 2008, Article ID 291968, 31 pages, 2008.
    
    
40. J. Geiser, R. Roehle, Modeling and Simulation for Physical Vapor Deposition: Multiscale Model. Journal of Convergence Information Technology, Korea, Paper ID 1-075033, published, November 2008.
    
    
41. J. Geiser, St. Irle, Macro- and Micro-Simulations for a sublimation growth of SiC single crystals. Mathematical Problems in Engineering, Hindawi Publishing Corp., New York, accepted, Volume 2009, Article ID 716104, 12 pages, 2009.
    
    
42. J. Geiser, Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method. Mathematical Problems in Engineering, Hindawi Publishing Corporation, New York, USA, vol. 2009, Art. ID 307298, 24 pages, doi:10.1155/2009/307298, 2009.
    
    
43. J. Geiser, Chr. Fleck, Adaptive Step-size Control in Simulation of diffusive CVD Processes. Mathematical Problems in Engineering, Hindawi Publishing Corp., New York, USA, Vol. 2009, Art. ID 728105, 34 pages, 2009.
    
    
44. J. Geiser and M. Arab, Simulation of a Chemical Vapor Deposition: Mobile and Immobile Zones and Homogeneous Layers. Special Topics and Reviews in Porous Media, Begell House Inc., Redding, USA, Vol. 1, Iss. 2, 123-143, 2010.
    
    
45. J. Geiser and M. Arab, Simulation for chemical vapor deposition: multiple channel geometry. Far East Journal of Mathematical Sciences (FJMS), Pushpa Publishing House, Allahabad, India, Vol. 33, Iss. 9, 135-150, 2009.
    
    
46. J. Geiser, Operator-Splitting Methods in Respect of Eigenvalue Problems for Nonlinear Equations and Applications to Burgers Equations. Journal of Computational and Applied Mathematics, Elsevier, Amsterdam, North Holland, Vol. 231, Iss. 2, 815-827, 2009.
    
    
47. J. Geiser, Mobile and immobile fluid transport: Coupling framework, International Journal for Numerical Methods in Fluids, (2010), published online in Wiley InterSciences (www.interscience.wiley.com), DOI: 10.1002/fld.2225, 2010.
    
    
48. J. Geiser, Fast computation of iterative operator-splitting methods, Advances and Applications in Mathematical Sciences, Mili Publications, India, accepted October 2009.
    
    
49. J. Geiser and A. Jamneshan, Iterative operator-splitting with time overlapping algorithms: Theory and Application to constant and time-dependent wave equations. Chapter 4 in: Wave Propagation in Materials for Modern Applications Edited by Andrey Petrin, ISBN 978-953-7619-65-7, 526 pages, 2010.
    
    
50. J. Geiser, R. Roehle, Kinetic Processes and Phase-transition of CVD Processes for Ti2SiC3. JCIT: Journal of Convergence Information Technology, Vol. 5, No. 6, pp. 9--32, 2010.
    
    
51. J. Geiser and M. Arab, Porous Media Based Modeling of PE-CVD Apparatus: Electrical fields and Deposition Geometries. Special Topics and Reviews in Porous Media, Begell House Inc., Redding, USA, Vol. 1, iss. 3, 215-229, 2010.
    
    
52. J. Geiser, Iterative operator-splitting methods for nonlinear differential equations and applications. NMPDE, published online, March 2010.
    
    
53. J. Geiser, Multi-product expansion with Suzukis method: Generalzation. Numerical Mathematics: Theory , Methods and Applications, 4(1): 68-91, 2011.
    
    
54. J. Geiser, V.Buck and M. Arab, Model of PE-CVD apparatus: Verification and Simulations. Mathematical Problems in Engineering, Hindawi Publishing Corp., New York, accepted, April 2010.
    
    
55. S. Chin and J. Geiser, Multi-product operator splitting as a general method of solving autonomous and non-autonomous equations. IMA J. Numer. Anal., first published online January 12, 2011.
    
    
56. J. Geiser and G. Tanoglu, Operator-splitting methods via Zassenhaus product formula. Applied Mathematics and Computation, 217:4557-4575, 2011.
    
    
57. J. Geiser and G. Tanoglu, Successive Approximation for Solving Time-Dependent Problems: Theoretical Overview. International Journal of Numerical Analysis & Modeling, Series B, Proceeding, Fifth Conference on Finite Difference Methods: Theory and Applications, June 28-July 2, 2010, Lozenetz, Bulgaria, accepted November 2010.
    
    
58. J. Geiser and M. Arab, Modelling and Simulation of a Chemical Vapor Deposition. Journal of Applied Mathematics, special issue: Mathematical and Numerical Modeling of Flow and Transport (MNMFT), Hindawi Publishing Corp., New York, accepted, vol. 2011, Article ID 641920, 25 pages, 2011. doi:10.1155/2011/641920
    
    
59. J. Geiser, Computing Exponential for Iterative Splitting Methods. Journal of Applied Mathematics, special issue: Mathematical and Numerical Modeling of Flow and Transport (MNMFT), Hindawi Publishing Corp., New York, accepted, January 2011.
    
    
60. J. Geiser, Mobile and immobile gaseous transport: embedded analytical solutions to finite volume methods. Numerical Methods of Partial Differential Equations, Wiley-Backwell, accepted, March 2011.
    
    
61. J. Geiser, Operator Splitting Method for Coupled Problems: Transport and Maxwell Equations. American Journal of computational Mathematics, Scientific Research Publishing, USA, vol. 1, 163-175, 2011.
    
    
62. J. Geiser and M.Arab, Optimal Deposition Geometry and Simulation of PE-CVD Apparatus based on a porous media. International Journal of Applied Mathematics and Mechanics (IJAMM), Hong Kong, accepted, Mai 2011.
    
    
63. J. Geiser and S. Blankenburg, Monte Carlo simulations concerning elastic scattering with application to DC and high power pulsed magnetron sputtering for Ti3 Si C2. Communications in Computational Physics (CiCP), Global Science Press, Hong Kong, China, accepted May 2011.
    
    
64. J. Geiser, Iterative operator splitting method for coupled problems: Transport and electric fields. Journal of Informatics and Mathematical Sciences, RGN Publications, Delhi, India, 3(2):107-125, 2011.
    
    
65. J. Geiser and S. Blankenburg, Plasma and BIAS Modeling: Self-Consistent Electrostatic-Particle-In-Cell with low Density Argon Plasma for TiC. Modelling and Simulation in Engineering, Hindawi Publishing Corporation, New York, USA, accepted June 2011.
    
    
66. J. Geiser and M. Arab, Simulation of a Chemical Vapor Deposition: Four phase model. Special Topics and Reviews in Porous Media, Begell House Inc., Redding, USA, accepted June 2011.
    
    
67. J. Geiser, G. Tanoglu and N. Guecueyenen, Higher Order Operator-Splitting Methods via Zassenhaus product formula: Theory and Applications. Computers and Mathematics with Applications, Elsevier, North Holland, accepted July, 2011.
    
    
68. J. Geiser, Iterative Operator Splitting Methods for Differential Equations: Prooftechniques and Applications. International Mathematical Forum, Vol. 6, 2011, no. 56, 2737 - 2770.
    
    
69. J. Geiser, An Iterative Splitting Method via Waveform Relaxation. International Journal of Computer Mathematics, Taylor and Francis, New York, accepted August 2011.
    
    
70. J. Geiser, Spatially-dependent and Nonlinear Fluid Transport: Coupling Framework. Central European Journal of Mathematics, Springer, New York, accepted September 2011.
    
    
71. J. Geiser, Iterative Operator Splitting Methods for Solving Time-Dependent Problems. Applied Mathematics Letters, Elsevier, North Holland, accepted October 2011.