Karl K. Sabelfeld

Publication Activity (10 Years)

Years Active: 1995-2023
Publications (10 Years): 33

Top Topics

Cellular Automaton Model

Stochastic Model

Top Venues

Monte Carlo Methods Appl.

J. Supercomput.

Math. Comput. Simul.

Publications

Anastasiya E. Kireeva, Ivan Aksyuk, Karl K. Sabelfeld
Two stochastic algorithms for solving elastostatics problems governed by the Lamé equation. Monte Carlo Methods Appl. 29 (2) (2023)
Karl K. Sabelfeld, Anastasiya E. Kireeva
Randomized vector iterative linear solvers of high precision for large dense system. Monte Carlo Methods Appl. 29 (4) (2023)
Irina A. Shalimova, Karl K. Sabelfeld
Development and implementation of branching random walk on spheres algorithms for solving the 2D elastostatics Lamé equation. Monte Carlo Methods Appl. 29 (1) (2023)
Evgenia Kablukova, Karl K. Sabelfeld, Dmitry Protasov, Konstantin S. Zhuravlev
Stochastic simulation of electron transport in a strong electrical field in low-dimensional heterostructures. Monte Carlo Methods Appl. 29 (4) (2023)
Karl K. Sabelfeld, Sergey Kireev, Anastasiya E. Kireeva
Parallel implementations of randomized vector algorithm for solving large systems of linear equations. J. Supercomput. 79 (10) (2023)
Karl K. Sabelfeld, Oleg Bukhasheev
Global random walk on grid algorithm for solving Navier-Stokes and Burgers equations. Monte Carlo Methods Appl. 28 (4) (2022)
Karl K. Sabelfeld
Randomized Monte Carlo algorithms for matrix iterations and solving large systems of linear equations. Monte Carlo Methods Appl. 28 (2) (2022)
Dmitriy Kolyukhin, Karl K. Sabelfeld, Ivan Dimov
Sensitivity analysis of the concentration transport estimation in a turbulent flow. Monte Carlo Methods Appl. 28 (3) (2022)
Karl K. Sabelfeld, Viacheslav Sapozhnikov
Simulation of transient and spatial structure of the radiative flux produced by multiple recombinations of excitons. Monte Carlo Methods Appl. 28 (3) (2022)
Karl K. Sabelfeld, Ivan Aksyuk
Simulation of drift-diffusion process at high Péclet numbers by the random walk on spheres method. Monte Carlo Methods Appl. 28 (4) (2022)
Karl K. Sabelfeld, Dmitry Smirnov, Ivan Dimov, Venelin Todorov
A global random walk on grid algorithm for second order elliptic equations. Monte Carlo Methods Appl. 27 (4) (2021)
Karl K. Sabelfeld, Sergey Kireev, Anastasiya E. Kireeva
Parallel implementation of cellular automata model of electron-hole transport in a semiconductor. J. Parallel Distributed Comput. 158 (2021)
Kirill Svit, Konstantin S. Zhuravlev, Sergey Kireev, Karl K. Sabelfeld
A stochastic model, simulation, and application to aggregation of cadmium sulfide nanocrystals upon evaporation of the Langmuir-Blodgett matrix. Monte Carlo Methods Appl. 27 (4) (2021)
Karl K. Sabelfeld, Dmitrii Smirnov
A global random walk on grid algorithm for second order elliptic equations. Monte Carlo Methods Appl. 27 (3) (2021)
Irina A. Shalimova, Karl K. Sabelfeld
Random walk on spheres algorithm for solving steady-state and transient diffusion-recombination problems. Monte Carlo Methods Appl. 27 (4) (2021)
Anastasiya E. Kireeva, Karl K. Sabelfeld, Sergey Kireev
Parallel simulation of drift-diffusion-recombination by cellular automata and global random walk algorithm. J. Supercomput. 77 (7) (2021)
Karl K. Sabelfeld, Nikita Popov
Monte Carlo tracking drift-diffusion trajectories algorithm for solving narrow escape problems. Monte Carlo Methods Appl. 26 (3) (2020)
Irina A. Shalimova, Karl K. Sabelfeld
Random walk on ellipsoids method for solving elliptic and parabolic equations. Monte Carlo Methods Appl. 26 (4) (2020)
Irina A. Shalimova, Karl K. Sabelfeld
A random walk on small spheres method for solving transientanisotropic diffusion problems. Monte Carlo Methods Appl. 25 (3) (2019)
Anastasiya E. Kireeva, Karl K. Sabelfeld, Evgeniy N. Gribov, Natalia V. Maltseva
Parallel implementation of a three-dimensional cellular automaton model of the electrochemical oxidation of carbon "Ketjenblack EC-600JD". J. Supercomput. 75 (12) (2019)
Anastasiya E. Kireeva, Karl K. Sabelfeld, Sergey Kireev
Synchronous Multi-particle Cellular Automaton Model of Diffusion with Self-annihilation. PaCT (2019)
Karl K. Sabelfeld
Random walk on rectangles and parallelepipeds algorithm for solving transient anisotropic drift-diffusion-reaction problems. Monte Carlo Methods Appl. 25 (2) (2019)
Karl K. Sabelfeld
A global random walk on spheres algorithm for transient heat equation and some extensions. Monte Carlo Methods Appl. 25 (1) (2019)
Karl K. Sabelfeld
A random walk on spheres based kinetic Monte Carlo method for simulation of the fluctuation-limited bimolecular reactions. Math. Comput. Simul. 143 (2018)
Karl K. Sabelfeld, Georgy Eremeev
A hybrid kinetic-thermodynamic Monte Carlo model for simulation of homogeneous burst nucleation. Monte Carlo Methods Appl. 24 (3) (2018)
Irina A. Shalimova, Karl K. Sabelfeld
Random walk on spheres method for solving anisotropic drift-diffusion problems. Monte Carlo Methods Appl. 24 (1) (2018)
Karl K. Sabelfeld
Stochastic projection methods and applications to some nonlinear inverse problems of phase retrieving. Math. Comput. Simul. 143 (2018)
Karl K. Sabelfeld, Anastasiya E. Kireeva
Probability distribution of the life time of a drift-diffusion-reaction process inside a sphere with applications to transient cathodoluminescence imaging. Monte Carlo Methods Appl. 24 (1) (2018)
Karl K. Sabelfeld
Random walk on spheres algorithm for solving transient drift-diffusion-reaction problems. Monte Carlo Methods Appl. 23 (3) (2017)
Irina A. Shalimova, Karl K. Sabelfeld
Stochastic polynomial chaos expansion method for random Darcy equation. Monte Carlo Methods Appl. 23 (2) (2017)
Anastasiya E. Kireeva, Karl K. Sabelfeld, Natalia V. Maltseva, Evgeniy N. Gribov
Parallel Implementation of Cellular Automaton Model of the Carbon Corrosion Under the Influence of the Electrochemical Oxidation. PaCT (2017)
Karl K. Sabelfeld
Random walk on spheres method for solving drift-diffusion problems. Monte Carlo Methods Appl. 22 (4) (2016)
Karl K. Sabelfeld
Vector Monte Carlo stochastic matrix-based algorithms for large linear systems. Monte Carlo Methods Appl. 22 (3) (2016)
Sergey Igorevich Kabanikhin, Karl K. Sabelfeld, Nikita S. Novikov, Maxim A. Shishlenin
Numerical solution of an inverse problem of coefficient recovering for a wave equation by a stochastic projection methods. Monte Carlo Methods Appl. 21 (3) (2015)
Anastasiya E. Kireeva, Karl K. Sabelfeld
Cellular Automata Model of Electrons and Holes Annihilation in an Inhomogeneous Semiconductor. PaCT (2015)
Karl K. Sabelfeld
Corrigendum to "A stochastic spectral projection method for solving PDEs in domains composed by overlapping discs, spheres, and half-spaces". Appl. Math. Comput. 248 (2014)
Karl K. Sabelfeld
A stochastic spectral projection method for solving PDEs in domains composed by overlapping discs, spheres, and half-spaces. Appl. Math. Comput. 219 (10) (2013)
Karl K. Sabelfeld, N. S. Mozartova
Sparsified Randomization algorithms for low rank approximations and applications to integral equations and inhomogeneous random field simulation. Math. Comput. Simul. 82 (2) (2011)
Karl K. Sabelfeld, N. S. Mozartova
Sparsified Randomization Algorithms for large systems of linear equations and a new version of the Random Walk on Boundary method. Monte Carlo Methods Appl. 15 (3) (2009)
Karl K. Sabelfeld, Irina A. Shalimova, Alexander I. Levykin
Random Walk on Fixed Spheres for Laplace and Lamé equations. Monte Carlo Methods Appl. 12 (1) (2006)
Karl K. Sabelfeld, Irina A. Shalimova, Alexander I. Levykin
Discrete random walk on large spherical grids generated by spherical means for PDEs. Monte Carlo Methods Appl. 10 (3-4) (2004)
Orazgeldy Kurbanmuradov, Steven A. Orszag, Karl K. Sabelfeld, P.-K. Yeung
Analysis of relative dispersion of two particles by Lagrangian stochastic models and DNS methods. Monte Carlo Methods Appl. 7 (3-4) (2001)
Anastasia Kolodko, Karl K. Sabelfeld
Stochastic Lagrangian model for spatially inhomogeneous Smoluchowski equation governing coagulating and diffusing particles. Monte Carlo Methods Appl. 7 (3-4) (2001)
Karl K. Sabelfeld, Orazgeldy Kurbanmuradov
Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Monte Carlo Methods Appl. 3 (1) (1997)
Karl K. Sabelfeld, Anastasia Kolodko
Monte Carlo simulation of the coagulation processes governed by Smoluchowski equation with random coefficients. Monte Carlo Methods Appl. 3 (4) (1997)
Karl K. Sabelfeld, S. V. Rogasinsky, Anastasia Kolodko, Alexander I. Levykin
Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation. Monte Carlo Methods Appl. 2 (1) (1996)
Karl K. Sabelfeld, T. A. Averina
Monte Carlo Simulation of Particle's Dispersion in Convective Boundary Layer of the Atmosphere. Monte Carlo Methods Appl. 2 (2) (1996)
Orazgeldy Kurbanmuradov, Karl K. Sabelfeld
Stochastic Lagrangian Models of Relative Dispersion of a Pair of Fluid Particles in Turbulent Flows. Monte Carlo Methods Appl. 1 (2) (1995)
Karl K. Sabelfeld, Irina A. Shalimova
Random Walk on Spheres Process for Exterior Dirichlet Problem. Monte Carlo Methods Appl. 1 (4) (1995)
Karl K. Sabelfeld, D. Talay
Integral Formulation of the Boundary Value Problems and the Method of Random Walk on Spheres. Monte Carlo Methods Appl. 1 (1) (1995)