Karl Sabelfeld

Orcid: 0000-0003-3698-7540

Affiliations:
  • Novosibirsk State University, Russia


According to our database1, Karl Sabelfeld authored at least 93 papers between 1995 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2023
Randomized vector iterative linear solvers of high precision for large dense system.
Monte Carlo Methods Appl., December, 2023

Stochastic simulation of electron transport in a strong electrical field in low-dimensional heterostructures.
Monte Carlo Methods Appl., December, 2023

Parallel implementations of randomized vector algorithm for solving large systems of linear equations.
J. Supercomput., July, 2023

Two stochastic algorithms for solving elastostatics problems governed by the Lamé equation.
Monte Carlo Methods Appl., June, 2023

Development and implementation of branching random walk on spheres algorithms for solving the 2D elastostatics Lamé equation.
Monte Carlo Methods Appl., March, 2023

2022
Simulation of transient and spatial structure of the radiative flux produced by multiple recombinations of excitons.
Monte Carlo Methods Appl., 2022

Global random walk on grid algorithm for solving Navier-Stokes and Burgers equations.
Monte Carlo Methods Appl., 2022

Simulation of drift-diffusion process at high Péclet numbers by the random walk on spheres method.
Monte Carlo Methods Appl., 2022

Randomized Monte Carlo algorithms for matrix iterations and solving large systems of linear equations.
Monte Carlo Methods Appl., 2022

Sensitivity analysis of the concentration transport estimation in a turbulent flow.
Monte Carlo Methods Appl., 2022

A study of highly efficient stochastic sequences for multidimensional sensitivity analysis.
Monte Carlo Methods Appl., 2022

A new randomized vector algorithm for iterative solution of large linear systems.
Appl. Math. Lett., 2022

2021
Parallel simulation of drift-diffusion-recombination by cellular automata and global random walk algorithm.
J. Supercomput., 2021

A stochastic model, simulation, and application to aggregation of cadmium sulfide nanocrystals upon evaporation of the Langmuir-Blodgett matrix.
Monte Carlo Methods Appl., 2021

Random walk on spheres algorithm for solving steady-state and transient diffusion-recombination problems.
Monte Carlo Methods Appl., 2021

A global random walk on grid algorithm for second order elliptic equations.
Monte Carlo Methods Appl., 2021

A global random walk on grid algorithm for second order elliptic equations.
Monte Carlo Methods Appl., 2021

Parallel implementation of cellular automata model of electron-hole transport in a semiconductor.
J. Parallel Distributed Comput., 2021

2020
Random walk on ellipsoids method for solving elliptic and parabolic equations.
Monte Carlo Methods Appl., 2020

Monte Carlo tracking drift-diffusion trajectories algorithm for solving narrow escape problems.
Monte Carlo Methods Appl., 2020

Drift velocity in GaN semiconductors: Monte Carlo simulation and comparison with experimental measurements.
Monte Carlo Methods Appl., 2020

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

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.
Appl. Math. Lett., 2020

2019
Parallel implementation of a three-dimensional cellular automaton model of the electrochemical oxidation of carbon "Ketjenblack EC-600JD".
J. Supercomput., 2019

A random walk on small spheres method for solving transientanisotropic diffusion problems.
Monte Carlo Methods Appl., 2019

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

A global random walk on spheres algorithm for transient heat equation and some extensions.
Monte Carlo Methods Appl., 2019

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

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

Synchronous Multi-particle Cellular Automaton Model of Diffusion with Self-annihilation.
Proceedings of the Parallel Computing Technologies, 2019

2018
Stochastic projection methods and applications to some nonlinear inverse problems of phase retrieving.
Math. Comput. Simul., 2018

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

Random walk on spheres method for solving anisotropic drift-diffusion problems.
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.
Monte Carlo Methods Appl., 2018

A hybrid kinetic-thermodynamic Monte Carlo model for simulation of homogeneous burst nucleation.
Monte Carlo Methods Appl., 2018

2017
Stochastic polynomial chaos expansion method for random Darcy equation.
Monte Carlo Methods Appl., 2017

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

Parallel Implementation of Cellular Automaton Model of the Carbon Corrosion Under the Influence of the Electrochemical Oxidation.
Proceedings of the Parallel Computing Technologies, 2017

2016
Random walk on spheres method for solving drift-diffusion problems.
Monte Carlo Methods Appl., 2016

Vector Monte Carlo stochastic matrix-based algorithms for large linear systems.
Monte Carlo Methods Appl., 2016

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

Splitting and survival probabilities in stochastic random walk methods and applications.
Monte Carlo Methods Appl., 2016

2015
Stochastic simulation of fluctuation-induced reaction-diffusion kinetics governed by Smoluchowski equations.
Monte Carlo Methods Appl., 2015

Stochastic small perturbation based simulation technique for solving isotropic elastostatics equations.
Monte Carlo Methods Appl., 2015

Numerical solution of an inverse problem of coefficient recovering for a wave equation by a stochastic projection methods.
Monte Carlo Methods Appl., 2015

Cellular Automata Model of Electrons and Holes Annihilation in an Inhomogeneous Semiconductor.
Proceedings of the Parallel Computing Technologies - 13th International Conference, PaCT 2015, Petrozavodsk, Russia, August 31, 2015

2014
Stochastic polynomial chaos based algorithm for solving PDEs with random coefficients.
Monte Carlo Methods Appl., 2014

A spectral method for isotropic diffusion equation with random concentration fluctuations of incoming flux of particles through circular-shaped boundaries.
Monte Carlo Methods Appl., 2014

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

2013
Randomized Spectral and Fourier-Wavelet Methods for multidimensional Gaussian random vector fields.
J. Comput. Phys., 2013

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

2012
Stochastic boundary collocation and spectral methods for solving PDEs.
Monte Carlo Methods Appl., 2012

2011
Sparsified Randomization algorithms for low rank approximations and applications to integral equations and inhomogeneous random field simulation.
Math. Comput. Simul., 2011

2010
Stochastic iterative projection methods for large linear systems.
Monte Carlo Methods Appl., 2010

Approximate formulas for expectations of functionals of solutions to stochastic differential equations.
Monte Carlo Methods Appl., 2010

Editiorial.
Monte Carlo Methods Appl., 2010

Stochastic Algorithms in Linear Algebra - beyond the Markov Chains and von Neumann - Ulam Scheme.
Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010

2009
Sparsified Randomization Algorithms for large systems of linear equations and a new version of the Random Walk on Boundary method.
Monte Carlo Methods Appl., 2009

Stochastic simulation of particle transport by a random Darcy flow through a porous cylinder.
Monte Carlo Methods Appl., 2009

Stochastic Simulation for Solving Random Boundary Value Problems and Some Applications.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008
Convergence of Fourier-Wavelet Models for Gaussian Random Processes.
SIAM J. Numer. Anal., 2008

Expansion of random boundary excitations for elliptic PDEs.
Monte Carlo Methods Appl., 2008

2007
A Fast Stratified Sampling Simulation of Coagulation Processes.
Monte Carlo Methods Appl., 2007

Comparative analysis of multiscale Gaussian random field simulation algorithms.
J. Comput. Phys., 2007

2006
Random Walk on Fixed Spheres for Laplace and Lamé equations.
Monte Carlo Methods Appl., 2006

Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields.
Monte Carlo Methods Appl., 2006

Exponential bounds for the probability deviations of sums of random fields.
Monte Carlo Methods Appl., 2006

2005
Stochastic flow simulation in 3D porous media.
Monte Carlo Methods Appl., 2005

2004
Discrete random walk on large spherical grids generated by spherical means for PDEs.
Monte Carlo Methods Appl., 2004

Foreword.
Monte Carlo Methods Appl., 2004

Stochastic Eulerian model for the flow simulation in porous media. Unconfined aquifers.
Monte Carlo Methods Appl., 2004

2003
Stochastic Lagrangian models and algorithms for spatially inhomogeneous Smoluchowski equation.
Math. Comput. Simul., 2003

Functional Random Walk on Spheres algorithm for biharmonic equation: optimization and error estimation.
Monte Carlo Methods Appl., 2003

Stochastic Eulerian model for the flow simulation in porous media.
Monte Carlo Methods Appl., 2003

A Lagrangian Stochastic Model for the Transport in Statistically Homogeneous Porous Media.
Monte Carlo Methods Appl., 2003

Stochastic Lagrangian footprint calculations over a surface with an abrupt change of roughness height.
Monte Carlo Methods Appl., 2003

Stochastic particle methods for Smoluchowski coagulation equation: variance reduction and error estimations.
Monte Carlo Methods Appl., 2003

2002
Random Walk on Spheres methods for iterative solution of elasticity problems.
Monte Carlo Methods Appl., 2002

2001
Forward and Backward Stochastic Lagrangian Models for turbulent transport and the well-mixed condition.
Monte Carlo Methods Appl., 2001

Analysis of relative dispersion of two particles by Lagrangian stochastic models and DNS methods.
Monte Carlo Methods Appl., 2001

Stochastic Lagrangian model for spatially inhomogeneous Smoluchowski equation governing coagulating and diffusing particles.
Monte Carlo Methods Appl., 2001

2000
Coagulation of aerosol particles in intermittent turbulent flows.
Monte Carlo Methods Appl., 2000

1999
Direct and Adjoint Monte Carlo Algorithms for the Footprint Problem.
Monte Carlo Methods Appl., 1999

1998
One-Particle Stochastic Lagrangian Model for Turbulent Dispersion in Horizontally Homogeneous Turbulence.
Monte Carlo Methods Appl., 1998

Iterative procedure for multidimensional Euler equations.
Monte Carlo Methods Appl., 1998

1997
Monte Carlo simulation of the coagulation processes governed by Smoluchowski equation with random coefficients.
Monte Carlo Methods Appl., 1997

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows.
Monte Carlo Methods Appl., 1997

Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results.
Monte Carlo Methods Appl., 1997

1996
Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation.
Monte Carlo Methods Appl., 1996

Monte Carlo Simulation of Particle's Dispersion in Convective Boundary Layer of the Atmosphere.
Monte Carlo Methods Appl., 1996

1995
Integral Formulation of the Boundary Value Problems and the Method of Random Walk on Spheres.
Monte Carlo Methods Appl., 1995

Random Walk on Spheres Process for Exterior Dirichlet Problem.
Monte Carlo Methods Appl., 1995

Stochastic Lagrangian Models of Relative Dispersion of a Pair of Fluid Particles in Turbulent Flows.
Monte Carlo Methods Appl., 1995


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