All Stories

  1. Two stochastic algorithms for solving elastostatics problems governed by the Lamé equation

    Article • Monte Carlo Methods and Applications, May 2023, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  2. Development and implementation of branching random walk on spheres algorithms for solving the 2D elastostatics Lamé equation

    Article • Monte Carlo Methods and Applications, January 2023, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  3. Global random walk on grid algorithm for solving Navier–Stokes and Burgers equations

    Article • Monte Carlo Methods and Applications, October 2022, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  4. Simulation of drift-diffusion process at high Péclet numbers by the random walk on spheres method

    Article • Monte Carlo Methods and Applications, October 2022, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  5. Stochastic model and simulation of GaN nanowires formation characterized by long incubation time followed by burst nucleation and growth

    Article • Computational Materials Science, October 2022, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  6. Simulation of transient and spatial structure of the radiative flux produced by multiple recombinations of excitons

    Article • Monte Carlo Methods and Applications, August 2022, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  7. Sensitivity analysis of the concentration transport estimation in a turbulent flow

    Article • Monte Carlo Methods and Applications, July 2022, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  8. Stochastic Simulation Algorithms for Solving Transient Anisotropic Diffusion-recombination Equations and Application to Cathodoluminescence Imaging

    Article • Methodology And Computing In Applied Probability, July 2022, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  9. Randomized Monte Carlo algorithms for matrix iterations and solving large systems of linear equations

    Article • Monte Carlo Methods and Applications, May 2022, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  10. A new randomized vector algorithm for iterative solution of large linear systems

    Article • Applied Mathematics Letters, April 2022, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  11. A study of highly efficient stochastic sequences for multidimensional sensitivity analysis

    Article • Monte Carlo Methods and Applications, February 2022, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  12. Carrier Diffusion in GaN : A Cathodoluminescence Study. I. Temperature-Dependent Generation Volume

    Article • Physical Review Applied, February 2022, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  13. Carrier Diffusion in GaN : A Cathodoluminescence Study. II. Ambipolar versus Exciton Diffusion

    Article • Physical Review Applied, February 2022, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  14. Carrier Diffusion in GaN : A Cathodoluminescence Study. III. Nature of Nonradiative Recombination at Threading Dislocations

    Article • Physical Review Applied, February 2022, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  15. Parallel implementation of cellular automata model of electron-hole transport in a semiconductor

    Article • Journal of Parallel and Distributed Computing, December 2021, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  16. A stochastic model, simulation, and application to aggregation of cadmium sulfide nanocrystals upon evaporation of the Langmuir–Blodgett matrix

    Article • Monte Carlo Methods and Applications, November 2021, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  17. Random walk on spheres algorithm for solving steady-state and transient diffusion-recombination problems

    Article • Monte Carlo Methods and Applications, November 2021, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  18. A global random walk on grid algorithm for second order elliptic equations

    Article • Monte Carlo Methods and Applications, October 2021, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  19. A Global Random Walk on Spheres algorithm for calculating the solution and its derivatives of the drift‐diffusion‐reaction equations

    Article • Mathematical Methods in the Applied Sciences, October 2021, Wiley

    Prof, Dr. Karl K. Sabelfeld

  20. A global random walk on grid algorithm for second order elliptic equations

    Article • Monte Carlo Methods and Applications, August 2021, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  21. Parallel simulation of drift–diffusion–recombination by cellular automata and global random walk algorithm

    Article • The Journal of Supercomputing, January 2021, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  22. Random walk on ellipsoids method for solving elliptic and parabolic equations

    Article • Monte Carlo Methods and Applications, December 2020, De Gruyter

    Irina Shalimova, Prof, Dr. Karl K. Sabelfeld

  23. Drift velocity in GaN semiconductors: Monte Carlo simulation and comparison with experimental measurements

    Article • Monte Carlo Methods and Applications, October 2020, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  24. Stochastic simulation algorithms for solving a nonlinear system of drift–diffusion-Poisson equations of semiconductors

    Article • Physica A Statistical Mechanics and its Applications, October 2020, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  25. A new Global Random Walk algorithm for calculation of the solution and its derivatives of elliptic equations with constant coefficients in an arbitrary set of points

    Article • Applied Mathematics Letters, September 2020, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  26. Monte Carlo tracking drift-diffusion trajectories algorithm for solving narrow escape problems

    Article • Monte Carlo Methods and Applications, September 2020, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  27. Mesh-free stochastic algorithms for systems of drift–diffusion–reaction equations and anisotropic diffusion flux calculations

    Article • Probabilistic Engineering Mechanics, July 2020, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  28. Stochastic simulation algorithms for solving narrow escape diffusion problems by introducing a drift to the target

    Article • Journal of Computational Physics, June 2020, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  29. Parallel Implementation of Stochastic Simulation Algorithm for Nonlinear Systems of Electron-Hole Transport Equations in a Semiconductor

    Article • January 2020, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  30. Determination of the Carrier Diffusion Length in GaN from Cathodoluminescence Maps Around Threading Dislocations: Fallacies and Opportunities

    Article • Physical Review Applied, November 2019, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  31. Stochastic algorithm for solving transient diffusion equations with a precise accounting of reflection boundary conditions on a substrate surface

    Article • Applied Mathematics Letters, October 2019, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  32. A random walk on small spheres method for solving transient anisotropic diffusion problems

    Article • Monte Carlo Methods and Applications, September 2019, De Gruyter

    Irina Shalimova, Karl Sabelfeld, Prof, Dr. Karl K. Sabelfeld

  33. Random walk on rectangles and parallelepipeds algorithm for solving transient anisotropic drift-diffusion-reaction problems

    Article • Monte Carlo Methods and Applications, June 2019, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  34. A global random walk on spheres algorithm for transient heat equation and some extensions

    Article • Monte Carlo Methods and Applications, March 2019, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  35. First passage Monte Carlo algorithms for solving coupled systems of diffusion–reaction equations

    Article • Applied Mathematics Letters, February 2019, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  36. Supercomputer Stochastic Simulation of Transient Anisotropic Diffusion-Reaction Processes with Application in Cathodoluminescence Imaging

    Article • January 2019, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  37. Synchronous Multi-particle Cellular Automaton Model of Diffusion with Self-annihilation

    Article • January 2019, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  38. A hybrid kinetic-thermodynamic Monte Carlo model for simulation of homogeneous burst nucleation

    Article • Monte Carlo Methods and Applications, September 2018, De Gruyter

    Prof, Dr. Karl K. Sabelfeld, Georgy Eremeev

  39. Parallel implementation of a three-dimensional cellular automaton model of the electrochemical oxidation of carbon “Ketjenblack EC-600JD”

    Article • The Journal of Supercomputing, July 2018, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  40. Application of the von Mises–Fisher distribution to Random Walk on Spheres method for solving high-dimensional diffusion–advection–reaction equations

    Article • Statistics & Probability Letters, July 2018, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  41. Probability distribution of the life time of a drift-diffusion-reaction process inside a sphere with applications to transient cathodoluminescence imaging

    Article • Monte Carlo Methods and Applications, June 2018, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  42. Piezoelectric field, exciton lifetime, and cathodoluminescence intensity at threading dislocations in GaN{0001}

    Article • Applied Physics Letters, March 2018, American Institute of Physics

    Prof, Dr. Karl K. Sabelfeld

  43. Random walk on spheres method for solving anisotropic drift-diffusion problems

    Article • Monte Carlo Methods and Applications, March 2018, De Gruyter

    Irina Shalimova, Prof, Dr. Karl K. Sabelfeld

  44. Random walk on spheres method for solving anisotropic drift-diffusion problems

    Article • Monte Carlo Methods and Applications, February 2018, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  45. A random walk on spheres based kinetic Monte Carlo method for simulation of the fluctuation-limited bimolecular reactions

    Article • Mathematics and Computers in Simulation, January 2018, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  46. Stochastic model and simulation of growth and coalescence of spontaneously formed GaN nanowires in molecular beam epitaxy

    Article • Computational Materials Science, January 2018, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  47. Stochastic projection methods and applications to some nonlinear inverse problems of phase retrieving

    Article • Mathematics and Computers in Simulation, January 2018, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  48. Supercomputer Simulation of Cathodoluminescence Transients in the Vicinity of Threading Dislocations

    Article • January 2018, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  49. Uncertainty quantification and stochastic polynomial chaos expansion for recovering random data in Darcy and Diffusion equations

    Article • Journal of Inverse and Ill-Posed Problems, December 2017, De Gruyter

    Irina Shalimova, Prof, Dr. Karl K. Sabelfeld

  50. Dislocation contrast in cathodoluminescence and electron-beam induced current maps on GaN(0 0 0 1)

    Article • Journal of Physics D Applied Physics, September 2017, Institute of Physics Publishing

    Prof, Dr. Karl K. Sabelfeld

  51. Ga-Polar (In,Ga)N/GaN Quantum Wells Versus N-Polar (In,Ga)N Quantum Disks in GaN Nanowires: A Comparative Analysis of Carrier Recombination, Diffusion, and Radiative Efficiency

    Article • Physical Review Applied, July 2017, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  52. Solution of a stochastic Darcy equation by polynomial chaos expansion

    Article • Numerical Analysis and Applications, July 2017, Pleiades Publishing Ltd

    Prof, Dr. Karl K. Sabelfeld

  53. A stochastic model of nanowire growth by molecular beam epitaxy

    Article • Numerical Analysis and Applications, April 2017, Pleiades Publishing Ltd

    Prof, Dr. Karl K. Sabelfeld

  54. Stochastic simulation of electron-hole recombination in two-dimensional and three-dimensional inhomogeneous semiconductors. Part II. Simulation results

    Article • Optoelectronics Instrumentation and Data Processing, March 2017, Allerton Press

    Prof, Dr. Karl K. Sabelfeld

  55. Stochastic simulation of bimolecular reactions in vicinity of traps and applications to electron–hole recombination in 2D and 3D inhomogeneous semiconductors

    Article • Journal of Computational Electronics, February 2017, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  56. A mesh free floating random walk method for solving diffusion imaging problems

    Article • Statistics & Probability Letters, February 2017, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  57. Stochastic polynomial chaos expansion method for random Darcy equation

    Article • Monte Carlo Methods and Applications, January 2017, De Gruyter

    Irina Shalimova, Prof, Dr. Karl K. Sabelfeld

  58. Random walk on spheres algorithm for solving transient drift-diffusion-reaction problems

    Article • Monte Carlo Methods and Applications, January 2017, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  59. Parallel Implementation of a Monte Carlo Algorithm for Simulation of Cathodoluminescence Contrast Maps

    Article • January 2017, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  60. Parallel Implementation of Cellular Automaton Model of the Carbon Corrosion Under the Influence of the Electrochemical Oxidation

    Article • January 2017, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  61. Stochastic simulation of electron-hole recombination in two-dimensional and three-dimensional inhomogeneous semiconductors. Part I. Stochastic model and algorithms

    Article • Optoelectronics Instrumentation and Data Processing, January 2017, Allerton Press

    Prof, Dr. Karl K. Sabelfeld

  62. DISCRETE STOCHASTIC SIMULATION OF THE ELECTRONS AND HOLES RECOMBINATION IN THE 2D AND 3D INHOMOGENEOUS SEMICONDUCTOR

    Article • PRIKLADNAYa DISKRETNAYa MATEMATIKA, December 2016, Tomsk State University

    Prof, Dr. Karl K. Sabelfeld

  63. Stochastic simulation of nanowire growth in plasma-assisted molecular beam epitaxy

    Article • Computational Materials Science, December 2016, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  64. Nucleation, Growth, and Bundling of GaN Nanowires in Molecular Beam Epitaxy: Disentangling the Origin of Nanowire Coalescence

    Article • Nano Letters, May 2016, American Chemical Society (ACS)

    Prof, Dr. Karl K. Sabelfeld

  65. Splitting and survival probabilities in stochastic random walk methods and applications

    Article • Monte Carlo Methods and Applications, January 2016, De Gruyter

    Karl Sabelfeld, Prof, Dr. Karl K. Sabelfeld

  66. Random walk on semi-cylinders for diffusion problems with mixed Dirichlet–Robin boundary conditions

    Article • Monte Carlo Methods and Applications, January 2016, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  67. Vector Monte Carlo stochastic matrix-based algorithms for large linear systems

    Article • Monte Carlo Methods and Applications, January 2016, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  68. Random walk on spheres method for solving drift-diffusion problems

    Article • Monte Carlo Methods and Applications, January 2016, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  69. Stochastic simulation of fluctuation-induced enzyme kinetics in vicinity of traps, based on probabilistic tunneling and diffusion mechanisms

    Article • October 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Prof, Dr. Karl K. Sabelfeld

  70. A stochastic model and Monte Carlo algorithm for fluctuation-induced H2formation on the surface of interstellar dust grains

    Article • Journal of Cosmology and Astroparticle Physics, September 2015, Institute of Physics Publishing

    Prof, Dr. Karl K. Sabelfeld

  71. A Stochastic Model for Electron-Hole Annihilation by Tunneling and Diffusion Based on a Nonlinear Smoluchowski Equations

    Article • April 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Prof, Dr. Karl K. Sabelfeld

  72. Stochastic model for the fluctuation-limited reaction–diffusion kinetics in inhomogeneous media based on the nonlinear Smoluchowski equations

    Article • Journal of Mathematical Chemistry, January 2015, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  73. Numerical solution of the multidimensional Gelfand–Levitan equation

    Article • Journal of Inverse and Ill-Posed Problems, January 2015, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  74. Stochastic algorithms for solving linear and nonlinear inverse ill-posed problems for particle size retrieving and x-ray diffraction analysis of epitaxial films

    Article • Journal of Inverse and Ill-Posed Problems, January 2015, De Gruyter

    Irina Shalimova, Prof, Dr. Karl K. Sabelfeld

  75. Stochastic simulation of fluctuation-induced reaction-diffusion kinetics governed by Smoluchowski equations

    Article • Monte Carlo Methods and Applications, January 2015, De Gruyter

    Karl Sabelfeld, Anastasiya Kireeva, Prof, Dr. Karl K. Sabelfeld

  76. Stochastic small perturbation based simulation technique for solving isotropic elastostatics equations

    Article • Monte Carlo Methods and Applications, January 2015, De Gruyter

    Karl Sabelfeld, Prof, Dr. Karl K. Sabelfeld

  77. Numerical solution of an inverse problem of coefficient recovering for a wave equation by a stochastic projection methods

    Article • Monte Carlo Methods and Applications, January 2015, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  78. Cellular Automata Model of Electrons and Holes Annihilation in an Inhomogeneous Semiconductor

    Article • January 2015, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  79. Corrigendum to “A stochastic spectral projection method for solving PDEs in domains composed by overlapping discs, spheres, and half-spaces”

    Article • Applied Mathematics and Computation, December 2014, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  80. Origin of the nonradiative decay of bound excitons in GaN nanowires

    Article • Physical Review B, October 2014, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  81. Strain distributions and diffraction peak profiles from crystals with dislocations

    Article • Acta Crystallographica Section A Foundations and Advances, July 2014, International Union of Crystallography

    Prof, Dr. Karl K. Sabelfeld

  82. A spectral method for isotropic diffusion equation with random concentration fluctuations of incoming flux of particles through circular-shaped boundaries

    Article • Monte Carlo Methods and Applications, January 2014, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  83. Stochastic polynomial chaos based algorithm for solving PDEs with random coefficients

    Article • Monte Carlo Methods and Applications, January 2014, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  84. Height self-equilibration during the growth of dense nanowire ensembles: Order emerging from disorder

    Article • Applied Physics Letters, September 2013, American Institute of Physics

    Prof, Dr. Karl K. Sabelfeld

  85. Randomized Spectral and Fourier-Wavelet Methods for multidimensional Gaussian random vector fields

    Article • Journal of Computational Physics, July 2013, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  86. Self-Regulated Radius of Spontaneously Formed GaN Nanowires in Molecular Beam Epitaxy

    Article • Nano Letters, June 2013, American Chemical Society (ACS)

    Prof, Dr. Karl K. Sabelfeld

  87. Spherical and Plane Integral Operators for PDEs

    Article • January 2013, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  88. A stochastic spectral projection method for solving PDEs in domains composed by overlapping discs, spheres, and half-spaces

    Article • Applied Mathematics and Computation, January 2013, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  89. Elastic response of a free half-space to random force excitations applied on the boundary

    Article • Physica A Statistical Mechanics and its Applications, December 2012, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  90. Stochastic Boundary Methods of Fundamental Solutions for solving PDEs

    Article • Engineering Analysis with Boundary Elements, July 2012, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  91. Stochastic boundary collocation and spectral methods for solving PDEs

    Article • Monte Carlo Methods and Applications, January 2012, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  92. Short range correlations of misfit dislocations in the X-ray diffraction peaks

    Article • physica status solidi (a), October 2011, Wiley

    Prof, Dr. Karl K. Sabelfeld

  93. Sparsified Randomization algorithms for low rank approximations and applications to integral equations and inhomogeneous random field simulation

    Article • Mathematics and Computers in Simulation, October 2011, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  94. Stochastic Algorithms in Linear Algebra - beyond the Markov Chains and von Neumann - Ulam Scheme

    Article • January 2011, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  95. Diffraction peaks from correlated dislocations

    Article • Zeitschrift für Kristallographie, December 2010, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  96. The response of an elastic three-dimensional half-space to random correlated displacement perturbations on the boundary

    Article • Physica A Statistical Mechanics and its Applications, November 2010, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  97. X-ray diffraction peaks from correlated dislocations: Monte Carlo study of dislocation screening

    Article • Acta Crystallographica Section A Foundations of Crystallography, October 2010, International Union of Crystallography

    Prof, Dr. Karl K. Sabelfeld

  98. Stochastic Flow Simulation and Particle Transport in a 2D Layer of Random Porous Medium

    Article • Transport in Porous Media, March 2010, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  99. Approximate formulas for expectations of functionals of solutions to stochastic differential equations

    Article • Monte Carlo Methods and Applications, January 2010, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  100. Editiorial

    Article • Monte Carlo Methods and Applications, January 2010, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  101. Stochastic iterative projection methods for large linear systems

    Article • Monte Carlo Methods and Applications, January 2010, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  102. Stochastic Simulation for Solving Random Boundary Value Problems and Some Applications

    Article • January 2010, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  103. X-ray diffraction peaks from partially ordered misfit dislocations

    Article • Physical Review B, November 2009, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  104. Elastostatics of a Half-Plane under Random Boundary Excitations

    Article • Journal of Statistical Physics, November 2009, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  105. X-ray diffraction of epitaxial films with arbitrarily correlated dislocations: Monte Carlo calculation and experiment

    Article • Physical Review B, July 2009, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  106. Stochastic Analysis of an Elastic 3D Half-Space Respond to Random Boundary Displacements: Exact Results and Karhunen-Loéve Expansion

    Article • Journal of Statistical Physics, April 2009, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  107. Sparsified Randomization Algorithms for large systems of linear equations and a new version of the Random Walk on Boundary method

    Article • Monte Carlo Methods and Applications, January 2009, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  108. Stochastic simulation method for a 2D elasticity problem with random loads

    Article • Probabilistic Engineering Mechanics, January 2009, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  109. Stochastic simulation of particle transport by a random Darcy flow through a porous cylinder

    Article • Monte Carlo Methods and Applications, January 2009, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  110. Stokes Flows under Random Boundary Velocity Excitations

    Article • Journal of Statistical Physics, December 2008, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  111. Expansion of the random boundary excitations for the fractional Laplacian

    Article • Journal of Cosmology and Astroparticle Physics, October 2008, Institute of Physics Publishing

    Prof, Dr. Karl K. Sabelfeld

  112. Memory effects induced by dependence on initial conditions and ergodicity of transport in heterogeneous media

    Article • Water Resources Research, August 2008, American Geophysical Union (AGU)

    Prof, Dr. Karl K. Sabelfeld

  113. Elastic Half-Plane under Random Displacement Excitations on the Boundary

    Article • Journal of Statistical Physics, July 2008, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  114. Flux and concentration footprint modelling: State of the art

    Article • Environmental Pollution, April 2008, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  115. Convergence of Fourier-Wavelet Models for Gaussian Random Processes

    Article • SIAM Journal on Numerical Analysis, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Prof, Dr. Karl K. Sabelfeld

  116. Expansion of random boundary excitations for elliptic PDEs

    Article • Monte Carlo Methods and Applications, January 2008, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  117. Comparative analysis of multiscale Gaussian random field simulation algorithms

    Article • Journal of Computational Physics, September 2007, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  118. Ostwald ripening of faceted two-dimensional islands

    Article • Physical Review B, August 2007, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  119. A Fast Stratified Sampling Simulation of Coagulation Processes

    Article • Monte Carlo Methods and Applications, January 2007, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  120. Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields

    Article • Monte Carlo Methods and Applications, November 2006, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  121. Exponential bounds for the probability deviations of sums of random fields

    Article • Monte Carlo Methods and Applications, October 2006, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  122. Coarsening of facetted two-dimensional islands by dynamic coalescence

    Article • Physical Review B, March 2006, American Physical Society (APS)

    Prof, Dr. Karl K. Sabelfeld

  123. Random Walk on Fixed Spheres for Laplace and Lamé equations

    Article • Monte Carlo Methods and Applications, March 2006, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  124. Stochastic flow simulation in 3D porous media

    Article • Monte Carlo Methods and Applications, March 2005, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  125. Flux and concentration footprints

    Article • Agricultural and Forest Meteorology, December 2004, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  126. Stochastic Eulerian model for the flow simulation in porous media. Unconfined aquifers*

    Article • Monte Carlo Methods and Applications, December 2004, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  127. Formation of charged aggregates of Al2O3 nanoparticles by combustion of aluminum droplets in air

    Article • Combustion and Flame, July 2004, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  128. Discrete random walk on large spherical grids generated by spherical means for PDEs *

    Article • Monte Carlo Methods and Applications, January 2004, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  129. A Lagrangian Stochastic Model for the Transport in Statistically Homogeneous Porous Media

    Article • Monte Carlo Methods and Applications, December 2003, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  130. Stochastic particle methods for Smoluchowski coagulation equation: variance reduction and error estimations

    Article • Monte Carlo Methods and Applications, December 2003, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  131. Stochastic Eulerian model for the flow simulation in porous media

    Article • Monte Carlo Methods and Applications, September 2003, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  132. Stochastic Lagrangian footprint calculations over a surface with an abrupt change of roughness height

    Article • Monte Carlo Methods and Applications, April 2003, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  133. Functional Random Walk on Spheres algorithm for biharmonic equation: optimization and error estimation

    Article • Monte Carlo Methods and Applications, March 2003, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  134. Stochastic Lagrangian models and algorithms for spatially inhomogeneous Smoluchowski equation

    Article • Mathematics and Computers in Simulation, January 2003, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  135. MCM2003: IV IMACS Monte Carlo Seminar WIAS, Berlin, 15-19 September 2003

    Article • Monte Carlo Methods and Applications, January 2002, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  136. Evaluation of mean concentration and fluxes in turbulent flows by Lagrangian stochastic models

    Article • Mathematics and Computers in Simulation, January 2001, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  137. AGGREGATE FORMATION UNDER HOMOGENEOUS SILANE THERMAL DECOMPOSITION

    Article • Journal of Aerosol Science, November 2000, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  138. Lagrangian Stochastic Models For Turbulent Dispersion In The Atmospheric Boundary Layer

    Article • Boundary-Layer Meteorology, November 2000, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  139. Footprint Analysis For Measurements Over A Heterogeneous Forest

    Article • Boundary-Layer Meteorology, October 2000, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  140. AEROSOL FORMATION UNDER HETEROGENEOUS/HOMOGENEOUS THERMAL DECOMPOSITION OF SILANE: EXPERIMENT AND NUMERICAL MODELING

    Article • Journal of Aerosol Science, August 2000, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  141. KINETICS OF AEROSOL FORMATION DURING TUNGSTEN HEXACARBONYL PHOTOLYSIS

    Article • Journal of Aerosol Science, May 2000, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  142. Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results

    Article • Monte Carlo Methods and Applications, January 1997, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  143. Kinetics of aerosol formation in the free molecule regime in presence of condensable vapor

    Article • Journal of Aerosol Science, July 1996, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  144. Heterogeneous nucleation in non-uniform media: Numerical simulations

    Article • Journal of Aerosol Science, December 1995, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  145. Integral Formulation of the Boundary Value Problems and the Method of Random Walk on Spheres

    Article • Monte Carlo Methods and Applications, January 1995, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  146. Random Walk on Spheres Process for Exterior Dirichlet Problem

    Article • Monte Carlo Methods and Applications, January 1995, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  147. Stochastic Lagrangian Models of Relative Dispersion of a Pair of Fluid Particles in Turbulent Flows

    Article • Monte Carlo Methods and Applications, January 1995, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  148. 11.O.03 Monte Carlo simulations of heterogeneous nucleation on aerosol particles in the non-uniform media

    Article • Journal of Aerosol Science, May 1994, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  149. Influence of inhomogeneity and fluctuations of supersaturation on heterogeneous nucleation

    Article • Chemical Physics Letters, November 1993, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  150. 18 P 28 Nucleation in non-uniform media. The role of time correlations

    Article • Journal of Aerosol Science, January 1993, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  151. Formation of water aerosol in the steam turbine. Theory and measurements

    Article • Journal of Aerosol Science, January 1992, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  152. Numerical statistical model of classical incompressible isotropic turbulence

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1990, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  153. The walk on boundary algorithms for solving boundary value problems in multiply-connected domains

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1990, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  154. Statistical modelling of turbulent motion of particles in random velocity fields

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1989, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  155. Mean value theorems in Monte Carlo methods

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1988, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  156. Walk-inside-the-domain algorithms for solving boundary value problems

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1987, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  157. The ‘walk on boundary’ algorithms for solving boundary value problems

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1986, De Gruyter

    Prof, Dr. Karl K. Sabelfeld

  158. The solution of a mixed problem for equations of the parabolic and hyperbolic type by the Monte Carlo method

    Article • USSR Computational Mathematics and Mathematical Physics, January 1984, Elsevier

    Prof, Dr. Karl K. Sabelfeld

  159. Space Structure of Strong Intensity Fluctuations of Light in a Turbulent Medium

    Article • Optica Acta International Journal of Optics, May 1979, Taylor & Francis

    Prof, Dr. Karl K. Sabelfeld

  160. Spatial structure of strong fluctuations of light intensity in a turbulent medium

    Article • Radiophysics and Quantum Electronics, February 1979, Springer Science + Business Media

    Prof, Dr. Karl K. Sabelfeld

  161. Approximate evaluation of wiener continual integrals by the Monte Carlo method

    Article • USSR Computational Mathematics and Mathematical Physics, January 1979, Elsevier

    Prof, Dr. Karl K. Sabelfeld