Karl K. Sabelfeld

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Random Walk on Fixed Spheres for Laplace and Lamé equations

Karl K. Sabelfeld, Irina A. Shalimova, Alexander I. Levykin, 2006, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, 2014, Appl. Math. Comput..

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

Karl K. Sabelfeld, K. Sabelfeld, 2020, J. Comput. Phys..

Random Walk on Spheres Process for Exterior Dirichlet Problem

Karl K. Sabelfeld, Irina A. Shalimova, K. Sabelfeld, 1995, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Orazgeldy Kurbanmuradov, 1995, Monte Carlo Methods Appl..

Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation.

Karl K. Sabelfeld, Alexander I. Levykin, Anastasia Kolodko, 1996, Monte Carlo Methods Appl..

List of Symbols

Karl K. Sabelfeld, Irina S. Shalimova, 1994 .

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

Karl K. Sabelfeld, 2018, Math. Comput. Simul..

Analysis of relative dispersion of two particles by Lagrangian stochastic models and DNS methods

Steven A. Orszag, Karl K. Sabelfeld, Orazgeldy Kurbanmuradov, 2001, Monte Carlo Methods Appl..

Monte Carlo Simulation of Particle's Dispersion in Convective Boundary Layer of the Atmosphere

Karl K. Sabelfeld, T. A. Averina, 1996, Monte Carlo Methods Appl..

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows

Karl K. Sabelfeld, Orazgeldy Kurbanmuradov, 1997, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Anastasiya E. Kireeva, 2015, PaCT.

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

Karl K. Sabelfeld, Georgy Eremeev, K. Sabelfeld, 2018, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, 2016, Monte Carlo Methods Appl..

Random walk on spheres method for solving drift-diffusion problems

Karl K. Sabelfeld, K. Sabelfeld, 2016, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Irina A. Shalimova, K. Sabelfeld, 2018, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, K. Sabelfeld, 2017, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, 2018, Math. Comput. Simul..

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

Karl K. Sabelfeld, Maxim A. Shishlenin, Sergey Igorevich Kabanikhin, 2015, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Irina A. Shalimova, Alexander I. Levykin, 2004, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, N. S. Mozartova, 2009, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Sergey Kireev, Anastasiya E. Kireeva, 2019, PaCT.

Monte Carlo Methods and Applications : Proceedings of the 8th IMACS Seminar on Monte Carlo Methods, August 29 - September 2, 2011, Borovets, Bulgaria

Ivan Dimov, Karl K. Sabelfeld, 2012 .

Chapter 9. Direct and adjoint Monte Carlo for the footprint problem

Karl K. Sabelfeld, 2012 .

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

Karl K. Sabelfeld, K. Sabelfeld, 2019, Monte Carlo Methods Appl..

9. Monte Carlo methods for computing macromolecules properties and solving related problems

Nikolai A. Simonov, Karl K. Sabelfeld, 2016 .

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

Karl K. Sabelfeld, 2019, Monte Carlo Methods Appl..

Random walk on ellipsoids method for solving elliptic and parabolic equations

Karl K. Sabelfeld, Irina Shalimova, K. Sabelfeld, 2020, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Nikita Popov, K. Sabelfeld, 2020, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, N. S. Mozartova, K. Sabelfeld, 2011, Math. Comput. Simul..

Monte Carlo Methods in Boundary Value Problems.

Karl K. Sabelfeld, 1991 .

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

Karl K. Sabelfeld, Anastasiya E. Kireeva, N. V. Maltseva, 2017, PaCT.

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

Karl K. Sabelfeld, D. Talay, D. Talay, 1995, Monte Carlo Methods Appl..

Stochastic polynomial chaos expansion method for random Darcy equation

Karl K. Sabelfeld, Irina A. Shalimova, 2017, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Anastasya E. Kireeva, K. Sabelfeld, 2020, Appl. Math. Lett..

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

Karl K. Sabelfeld, Irina Shalimova, K. Sabelfeld, 2019, Monte Carlo Methods Appl..

Monte Carlo simulation of the coagulation processes governed by Smoluchowski equation with random coefficients

Karl K. Sabelfeld, Anastasia Kolodko, K. Sabelfeld, 1997, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Anastasiya E. Kireeva, K. Sabelfeld, 2018, Monte Carlo Methods Appl..

Random Fields and Stochastic Lagrangian Models: Analysis and Applications in Turbulence and Porous Media

Nikolai A. Simonov, Karl K. Sabelfeld, 2012 .

Stochastic Lagrangian model for spatially inhomogeneous Smoluchowski equation governing coagulating and diffusing particles

Karl K. Sabelfeld, Anastasia Kolodko, K. Sabelfeld, 2001, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Irina Shalimova, K. Sabelfeld, 2021, Monte Carlo Methods Appl..

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

Venelin Todorov, Ivan Dimov, Karl K. Sabelfeld, 2021, Monte Carlo Methods Appl..

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

Karl K. Sabelfeld, Sergey Kireev, Anastasiya E. Kireeva, 2021, J. Parallel Distributed Comput..

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

Karl K. Sabelfeld, Dmitrii Smirnov, K. Sabelfeld, 2021, Monte Carlo Methods Appl..

Monte Carlo Methods

Karl K. Sabelfeld, 1991 .

Numerical solution of the multidimensional Gelfand–Levitan equation

Karl K. Sabelfeld, Sergey Kabanikhin, Maxim A. Shishlenin, 2015 .

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

Karl K. Sabelfeld, Alexander I. Levykin, Vladimir E. Zarko, 2004 .

Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional Pdes and Applications

Nikolai A. Simonov, Karl K. Sabelfeld, 2016 .

Lagrangian Stochastic Models For Turbulent Dispersion In The Atmospheric Boundary Layer

Karl K. Sabelfeld, Orazgeldy Kurbanmuradov, 2000 .

Lognormal approximations to Libor market models

Karl K. Sabelfeld, Orazgeldy Kurbanmuradov, J Schoenmakers, 2002 .

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

Karl K. Sabelfeld, K. Sabelfeld, Orazgeldi Kurbanmuradov, 2010 .

X-ray diffraction peaks from partially ordered misfit dislocations

Karl K. Sabelfeld, K. Sabelfeld, V. Kaganer, 2009 .