Stochastic Lagrangian Models of Relative Dispersion of a Pair of Fluid Particles in Turbulent Flows. - Orazgeldy Kurbanmuradov; Karl K. Sabelfeld (Monte Carlo Methods Appl., 1995)

Random Walk on Spheres Process for Exterior Dirichlet Problem. - Karl K. Sabelfeld; Irina A. Shalimova (Monte Carlo Methods Appl., 1995)

Integral Formulation of the Boundary Value Problems and the Method of Random Walk on Spheres. - Karl K. Sabelfeld; D. Talay (Monte Carlo Methods Appl., 1995)

Monte Carlo Simulation of Particle's Dispersion in Convective Boundary Layer of the Atmosphere. - Karl K. Sabelfeld; T. A. Averina (Monte Carlo Methods Appl., 1996)

Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation. - Karl K. Sabelfeld; S. V. Rogasinsky; Anastasia Kolodko; Alexander I. Levykin (Monte Carlo Methods Appl., 1996)

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results. - Orazgeldy Kurbanmuradov; Karl Sabelfeld; D. Koluhin (Monte Carlo Methods Appl., 1997)

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. - Karl K. Sabelfeld; Orazgeldy Kurbanmuradov (Monte Carlo Methods Appl., 1997)

Monte Carlo simulation of the coagulation processes governed by Smoluchowski equation with random coefficients. - Karl K. Sabelfeld; Anastasia Kolodko (Monte Carlo Methods Appl., 1997)

Iterative procedure for multidimensional Euler equations. - Wolfgang Dreyer; Matthias Kunik; Karl Sabelfeld; Nikolai A. Simonov; K. Wilmanski (Monte Carlo Methods Appl., 1998)

One-Particle Stochastic Lagrangian Model for Turbulent Dispersion in Horizontally Homogeneous Turbulence. - Karl Sabelfeld; Orazgeldy Kurbanmuradov (Monte Carlo Methods Appl., 1998)

Direct and Adjoint Monte Carlo Algorithms for the Footprint Problem. - Orazgeldy Kurbanmuradov; Üllar Rannik; Karl Sabelfeld; Timo Vesala (Monte Carlo Methods Appl., 1999)

Coagulation of aerosol particles in intermittent turbulent flows. - Karl Sabelfeld; Orazgeldy Kurbanmuradov (Monte Carlo Methods Appl., 2000)

Stochastic Lagrangian model for spatially inhomogeneous Smoluchowski equation governing coagulating and diffusing particles. - Anastasia Kolodko; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2001)

Analysis of relative dispersion of two particles by Lagrangian stochastic models and DNS methods. - Orazgeldy Kurbanmuradov; Steven A. Orszag; Karl K. Sabelfeld; P.-K. Yeung (Monte Carlo Methods Appl., 2001)

Forward and Backward Stochastic Lagrangian Models for turbulent transport and the well-mixed condition. - Karl Sabelfeld; Irina A. Shalimova (Monte Carlo Methods Appl., 2001)

Random Walk on Spheres methods for iterative solution of elasticity problems. - Karl Sabelfeld; Irina A. Shalimova (Monte Carlo Methods Appl., 2002)

Stochastic particle methods for Smoluchowski coagulation equation: variance reduction and error estimations. - Anastasia Kolodko; Karl Sabelfeld (Monte Carlo Methods Appl., 2003)

Stochastic Lagrangian footprint calculations over a surface with an abrupt change of roughness height. - Orazgeldy Kurbanmuradov; Alexander I. Levykin; Üllar Rannik; Karl Sabelfeld; Timo Vesala (Monte Carlo Methods Appl., 2003)

A Lagrangian Stochastic Model for the Transport in Statistically Homogeneous Porous Media. - Orazgeldy Kurbanmuradov; Karl Sabelfeld; Olivier F. Smidts; Harry Vereecken (Monte Carlo Methods Appl., 2003)

Stochastic Eulerian model for the flow simulation in porous media. - Karl Sabelfeld; Dmitry Kolyukhin (Monte Carlo Methods Appl., 2003)

Functional Random Walk on Spheres algorithm for biharmonic equation: optimization and error estimation. - Karl Sabelfeld; Elena V. Shkarupa (Monte Carlo Methods Appl., 2003)

Stochastic Lagrangian models and algorithms for spatially inhomogeneous Smoluchowski equation. - Karl Sabelfeld; Anastasia Kolodko (Math. Comput. Simul., 2003)

Stochastic Eulerian model for the flow simulation in porous media. Unconfined aquifers. - Dmitry Kolyukhin; Karl Sabelfeld (Monte Carlo Methods Appl., 2004)

Foreword. - Karl Sabelfeld (Monte Carlo Methods Appl., 2004)

Discrete random walk on large spherical grids generated by spherical means for PDEs. - Karl K. Sabelfeld; Irina A. Shalimova; Alexander I. Levykin (Monte Carlo Methods Appl., 2004)

Stochastic flow simulation in 3D porous media. - Dmitry Kolyukhin; Karl Sabelfeld (Monte Carlo Methods Appl., 2005)

Exponential bounds for the probability deviations of sums of random fields. - Orazgeldy Kurbanmuradov; Karl Sabelfeld (Monte Carlo Methods Appl., 2006)

Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields. - Orazgeldy Kurbanmuradov; Karl Sabelfeld (Monte Carlo Methods Appl., 2006)

Random Walk on Fixed Spheres for Laplace and Lamé equations. - Karl K. Sabelfeld; Irina A. Shalimova; Alexander I. Levykin (Monte Carlo Methods Appl., 2006)

Comparative analysis of multiscale Gaussian random field simulation algorithms. - Peter R. Kramer; Orazgeldy Kurbanmuradov; Karl Sabelfeld (J. Comput. Phys., 2007)

A Fast Stratified Sampling Simulation of Coagulation Processes. - Karl Sabelfeld; Alexander I. Levykin; Tatiana Privalova (Monte Carlo Methods Appl., 2007)

Expansion of random boundary excitations for elliptic PDEs. - Karl Sabelfeld (Monte Carlo Methods Appl., 2008)

Convergence of Fourier-Wavelet Models for Gaussian Random Processes. - Orazgeldy Kurbanmuradov; Karl Sabelfeld (SIAM J. Numer. Anal., 2008)

Stochastic Simulation for Solving Random Boundary Value Problems and Some Applications. - Karl Sabelfeld (LSSC, 2009)

Stochastic simulation of particle transport by a random Darcy flow through a porous cylinder. - Karl Sabelfeld; Orazgeldy Kurbanmuradov; Alexander I. Levykin (Monte Carlo Methods Appl., 2009)

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 (Monte Carlo Methods Appl., 2009)

Stochastic Algorithms in Linear Algebra - beyond the Markov Chains and von Neumann - Ulam Scheme. - Karl Sabelfeld (NMA, 2010)

Editiorial. - Alain Dubus; Karl Sabelfeld (Monte Carlo Methods Appl., 2010)

Approximate formulas for expectations of functionals of solutions to stochastic differential equations. - Alexander D. Egorov; Karl Sabelfeld (Monte Carlo Methods Appl., 2010)

Stochastic iterative projection methods for large linear systems. - Karl Sabelfeld; Nadja Loshchina (Monte Carlo Methods Appl., 2010)

Sparsified Randomization algorithms for low rank approximations and applications to integral equations and inhomogeneous random field simulation. - Karl K. Sabelfeld; N. S. Mozartova (Math. Comput. Simul., 2011)

Stochastic boundary collocation and spectral methods for solving PDEs. - Karl Sabelfeld; Nadezhda Mozartova (Monte Carlo Methods Appl., 2012)

A stochastic spectral projection method for solving PDEs in domains composed by overlapping discs, spheres, and half-spaces. - Karl K. Sabelfeld (Appl. Math. Comput., 2013)

Randomized Spectral and Fourier-Wavelet Methods for multidimensional Gaussian random vector fields. - Orazgeldy Kurbanmuradov; Karl Sabelfeld; Peter R. Kramer (J. Comput. Phys., 2013)

Corrigendum to "A stochastic spectral projection method for solving PDEs in domains composed by overlapping discs, spheres, and half-spaces". - Karl K. Sabelfeld (Appl. Math. Comput., 2014)

A spectral method for isotropic diffusion equation with random concentration fluctuations of incoming flux of particles through circular-shaped boundaries. - Karl Sabelfeld; Alexander I. Levykin (Monte Carlo Methods Appl., 2014)

Stochastic polynomial chaos based algorithm for solving PDEs with random coefficients. - Irina A. Shalimova; Karl Sabelfeld (Monte Carlo Methods Appl., 2014)

Cellular Automata Model of Electrons and Holes Annihilation in an Inhomogeneous Semiconductor. - Anastasiya E. Kireeva; Karl K. Sabelfeld (PaCT, 2015)

Numerical solution of an inverse problem of coefficient recovering for a wave equation by a stochastic projection methods. - Sergey Igorevich Kabanikhin; Karl K. Sabelfeld; Nikita S. Novikov; Maxim A. Shishlenin (Monte Carlo Methods Appl., 2015)

Stochastic small perturbation based simulation technique for solving isotropic elastostatics equations. - Dmitry Kolyukhin; Karl Sabelfeld (Monte Carlo Methods Appl., 2015)

Stochastic simulation of fluctuation-induced reaction-diffusion kinetics governed by Smoluchowski equations. - Karl Sabelfeld; Alexander I. Levykin; Anastasiya E. Kireeva (Monte Carlo Methods Appl., 2015)

Splitting and survival probabilities in stochastic random walk methods and applications. - Karl Sabelfeld (Monte Carlo Methods Appl., 2016)

Random walk on semi-cylinders for diffusion problems with mixed Dirichlet-Robin boundary conditions. - Karl Sabelfeld (Monte Carlo Methods Appl., 2016)

Vector Monte Carlo stochastic matrix-based algorithms for large linear systems. - Karl K. Sabelfeld (Monte Carlo Methods Appl., 2016)

Random walk on spheres method for solving drift-diffusion problems. - Karl K. Sabelfeld (Monte Carlo Methods Appl., 2016)

Parallel Implementation of Cellular Automaton Model of the Carbon Corrosion Under the Influence of the Electrochemical Oxidation. - Anastasiya E. Kireeva; Karl K. Sabelfeld; Natalia V. Maltseva; Evgeniy N. Gribov (PaCT, 2017)

Random walk on spheres algorithm for solving transient drift-diffusion-reaction problems. - Karl K. Sabelfeld (Monte Carlo Methods Appl., 2017)

Stochastic polynomial chaos expansion method for random Darcy equation. - Irina A. Shalimova; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2017)

A hybrid kinetic-thermodynamic Monte Carlo model for simulation of homogeneous burst nucleation. - Karl K. Sabelfeld; Georgy Eremeev (Monte Carlo Methods Appl., 2018)

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 (Monte Carlo Methods Appl., 2018)

Random walk on spheres method for solving anisotropic drift-diffusion problems. - Irina A. Shalimova; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2018)

A random walk on spheres based kinetic Monte Carlo method for simulation of the fluctuation-limited bimolecular reactions. - Karl K. Sabelfeld (Math. Comput. Simul., 2018)

Stochastic projection methods and applications to some nonlinear inverse problems of phase retrieving. - Karl K. Sabelfeld (Math. Comput. Simul., 2018)

Synchronous Multi-particle Cellular Automaton Model of Diffusion with Self-annihilation. - Anastasiya E. Kireeva; Karl K. Sabelfeld; Sergey Kireev (PaCT, 2019)

First passage Monte Carlo algorithms for solving coupled systems of diffusion-reaction equations. - Karl Sabelfeld (Appl. Math. Lett., 2019)

Stochastic algorithm for solving transient diffusion equations with a precise accounting of reflection boundary conditions on a substrate surface. - Karl Sabelfeld (Appl. Math. Lett., 2019)

A global random walk on spheres algorithm for transient heat equation and some extensions. - Karl K. Sabelfeld (Monte Carlo Methods Appl., 2019)

Random walk on rectangles and parallelepipeds algorithm for solving transient anisotropic drift-diffusion-reaction problems. - Karl K. Sabelfeld (Monte Carlo Methods Appl., 2019)

A random walk on small spheres method for solving transientanisotropic diffusion problems. - Irina A. Shalimova; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2019)

Parallel implementation of a three-dimensional cellular automaton model of the electrochemical oxidation of carbon "Ketjenblack EC-600JD". - Anastasiya E. Kireeva; Karl K. Sabelfeld; Evgeniy N. Gribov; Natalia V. Maltseva (J. Supercomput., 2019)

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 Sabelfeld; Anastasya Kireeva (Appl. Math. Lett., 2020)

Stochastic simulation algorithms for solving narrow escape diffusion problems by introducing a drift to the target. - Karl Sabelfeld (J. Comput. Phys., 2020)

Drift velocity in GaN semiconductors: Monte Carlo simulation and comparison with experimental measurements. - Evgenia Kablukova; Karl Sabelfeld; Dmitrii Y. Protasov; Konstantin S. Zhuravlev (Monte Carlo Methods Appl., 2020)

Monte Carlo tracking drift-diffusion trajectories algorithm for solving narrow escape problems. - Karl K. Sabelfeld; Nikita Popov (Monte Carlo Methods Appl., 2020)

Random walk on ellipsoids method for solving elliptic and parabolic equations. - Irina A. Shalimova; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2020)

Parallel implementation of cellular automata model of electron-hole transport in a semiconductor. - Karl K. Sabelfeld; Sergey Kireev; Anastasiya E. Kireeva (J. Parallel Distributed Comput., 2021)

A global random walk on grid algorithm for second order elliptic equations. - Karl K. Sabelfeld; Dmitrii Smirnov (Monte Carlo Methods Appl., 2021)

A global random walk on grid algorithm for second order elliptic equations. - Karl K. Sabelfeld; Dmitry Smirnov; Ivan Dimov 001; Venelin Todorov (Monte Carlo Methods Appl., 2021)

Random walk on spheres algorithm for solving steady-state and transient diffusion-recombination problems. - Irina A. Shalimova; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2021)

A stochastic model, simulation, and application to aggregation of cadmium sulfide nanocrystals upon evaporation of the Langmuir-Blodgett matrix. - Kirill Svit; Konstantin S. Zhuravlev; Sergey Kireev; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2021)

Parallel simulation of drift-diffusion-recombination by cellular automata and global random walk algorithm. - Anastasiya E. Kireeva; Karl K. Sabelfeld; Sergey Kireev (J. Supercomput., 2021)

A new randomized vector algorithm for iterative solution of large linear systems. - Karl Sabelfeld (Appl. Math. Lett., 2022)

A study of highly efficient stochastic sequences for multidimensional sensitivity analysis. - Ivan Dimov 001; Venelin Todorov; Karl Sabelfeld (Monte Carlo Methods Appl., 2022)

Sensitivity analysis of the concentration transport estimation in a turbulent flow. - Dmitriy Kolyukhin; Karl K. Sabelfeld; Ivan Dimov 001 (Monte Carlo Methods Appl., 2022)

Randomized Monte Carlo algorithms for matrix iterations and solving large systems of linear equations. - Karl K. Sabelfeld (Monte Carlo Methods Appl., 2022)

Simulation of drift-diffusion process at high Péclet numbers by the random walk on spheres method. - Karl K. Sabelfeld; Ivan Aksyuk (Monte Carlo Methods Appl., 2022)

Global random walk on grid algorithm for solving Navier-Stokes and Burgers equations. - Karl K. Sabelfeld; Oleg Bukhasheev (Monte Carlo Methods Appl., 2022)

Simulation of transient and spatial structure of the radiative flux produced by multiple recombinations of excitons. - Karl K. Sabelfeld; Viacheslav Sapozhnikov (Monte Carlo Methods Appl., 2022)

Development and implementation of branching random walk on spheres algorithms for solving the 2D elastostatics Lamé equation. - Irina A. Shalimova; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2023)

Two stochastic algorithms for solving elastostatics problems governed by the Lamé equation. - Anastasiya E. Kireeva; Ivan Aksyuk; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2023)

Parallel implementations of randomized vector algorithm for solving large systems of linear equations. - Karl K. Sabelfeld; Sergey Kireev; Anastasiya E. Kireeva (J. Supercomput., 2023)

Stochastic simulation of electron transport in a strong electrical field in low-dimensional heterostructures. - Evgenia Kablukova; Karl K. Sabelfeld; Dmitry Protasov; Konstantin S. Zhuravlev (Monte Carlo Methods Appl., 2023)

Randomized vector iterative linear solvers of high precision for large dense system. - Karl K. Sabelfeld; Anastasiya E. Kireeva (Monte Carlo Methods Appl., 2023)

Randomized vector algorithm with iterative refinement for solving boundary integral equations. - Karl K. Sabelfeld; Georgy Agarkov (Monte Carlo Methods Appl., 2024)

Random walk algorithms for solving nonlinear chemotaxis problems. - Karl K. Sabelfeld; Oleg Bukhasheev (Monte Carlo Methods Appl., 2024)

Simulation of doubly stochastic Poisson point processes and application to nucleation of nanocrystals and evaluation of exciton fluxes. - Karl K. Sabelfeld; Stepan Glazkov (Monte Carlo Methods Appl., 2024)

Random walk on spheres method for solving anisotropic transient diffusion problems and flux calculations. - Irina A. Shalimova; Karl Sabelfeld (Monte Carlo Methods Appl., 2024)

Combining randomized and deterministic iterative algorithms for high accuracy solution of large linear systems and boundary integral equations. - Karl K. Sabelfeld; Georgy Agarkov (Monte Carlo Methods Appl., 2025)

A meshfree Random Walk on Boundary algorithm with iterative refinement. - Irina A. Shalimova; Karl K. Sabelfeld (Monte Carlo Methods Appl., 2025)