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ORCIDKarl Sabelfeld
Karl K. Sabelfeld
Person information
- affiliation: Novosibirsk State University, Russia
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2020 – today
- 2024
[j91]Irina A. Shalimova, Karl Sabelfeld
:
Random walk on spheres method for solving anisotropic transient diffusion problems and flux calculations. Monte Carlo Methods Appl. 30(1): 73-80 (2024)- [j90]Karl K. Sabelfeld, Oleg Bukhasheev:
Random walk algorithms for solving nonlinear chemotaxis problems. Monte Carlo Methods Appl. 30(3): 235-248 (2024) - [j89]Karl K. Sabelfeld, Stepan Glazkov:
Simulation of doubly stochastic Poisson point processes and application to nucleation of nanocrystals and evaluation of exciton fluxes. Monte Carlo Methods Appl. 30(3): 315-330 (2024) - 2023
- [j88]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): 79-93 (2023) - [j87]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): 143-160 (2023) - [j86]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): 307-322 (2023) - [j85]Karl K. Sabelfeld, Anastasiya E. Kireeva:
Randomized vector iterative linear solvers of high precision for large dense system. Monte Carlo Methods Appl. 29(4): 323-332 (2023) - [j84]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): 10555-10569 (2023) - 2022
- [j83]Karl Sabelfeld:
A new randomized vector algorithm for iterative solution of large linear systems. Appl. Math. Lett. 126: 107830 (2022) - [j82]Ivan Dimov, Venelin Todorov, Karl Sabelfeld:
A study of highly efficient stochastic sequences for multidimensional sensitivity analysis. Monte Carlo Methods Appl. 28(1): 1-12 (2022) - [j81]Karl K. Sabelfeld:
Randomized Monte Carlo algorithms for matrix iterations and solving large systems of linear equations. Monte Carlo Methods Appl. 28(2): 125-133 (2022) - [j80]Dmitriy Kolyukhin, Karl K. Sabelfeld, Ivan Dimov:
Sensitivity analysis of the concentration transport estimation in a turbulent flow. Monte Carlo Methods Appl. 28(3): 211-219 (2022) - [j79]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): 255-268 (2022) - [j78]Karl K. Sabelfeld, Oleg Bukhasheev:
Global random walk on grid algorithm for solving Navier-Stokes and Burgers equations. Monte Carlo Methods Appl. 28(4): 293-305 (2022) - [j77]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): 349-367 (2022) - 2021
- [j76]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: 186-195 (2021) - [j75]Karl K. Sabelfeld, Dmitrii Smirnov:
A global random walk on grid algorithm for second order elliptic equations. Monte Carlo Methods Appl. 27(3): 211-225 (2021) - [j74]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): 289-299 (2021) - [j73]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): 301-313 (2021) - [j72]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): 325-339 (2021) - [j71]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): 6889-6903 (2021) - 2020
- [j70]Karl Sabelfeld, Anastasya Kireeva:
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. 107: 106466 (2020) - [j69]Karl Sabelfeld:
Stochastic simulation algorithms for solving narrow escape diffusion problems by introducing a drift to the target. J. Comput. Phys. 410: 109406 (2020) - [j68]Karl K. Sabelfeld, Nikita Popov:
Monte Carlo tracking drift-diffusion trajectories algorithm for solving narrow escape problems. Monte Carlo Methods Appl. 26(3): 177-191 (2020) - [j67]Evgenia Kablukova, Karl Sabelfeld, Dmitrii Y. Protasov, Konstantin S. Zhuravlev:
Drift velocity in GaN semiconductors: Monte Carlo simulation and comparison with experimental measurements. Monte Carlo Methods Appl. 26(4): 263-271 (2020) - [j66]Irina A. Shalimova, Karl K. Sabelfeld:
Random walk on ellipsoids method for solving elliptic and parabolic equations. Monte Carlo Methods Appl. 26(4): 335-353 (2020)
2010 – 2019
- 2019
- [j65]Karl Sabelfeld:
First passage Monte Carlo algorithms for solving coupled systems of diffusion-reaction equations. Appl. Math. Lett. 88: 141-148 (2019) - [j64]Karl Sabelfeld:
Stochastic algorithm for solving transient diffusion equations with a precise accounting of reflection boundary conditions on a substrate surface. Appl. Math. Lett. 96: 187-194 (2019) - [j63]Karl K. Sabelfeld:
A global random walk on spheres algorithm for transient heat equation and some extensions. Monte Carlo Methods Appl. 25(1): 85-96 (2019) - [j62]Karl K. Sabelfeld:
Random walk on rectangles and parallelepipeds algorithm for solving transient anisotropic drift-diffusion-reaction problems. Monte Carlo Methods Appl. 25(2): 131-146 (2019) - [j61]Irina A. Shalimova, Karl K. Sabelfeld:
A random walk on small spheres method for solving transientanisotropic diffusion problems. Monte Carlo Methods Appl. 25(3): 271-282 (2019) - [j60]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): 7790-7798 (2019) - [c5]Anastasiya E. Kireeva, Karl K. Sabelfeld, Sergey Kireev:
Synchronous Multi-particle Cellular Automaton Model of Diffusion with Self-annihilation. PaCT 2019: 345-359 - 2018
- [j59]Irina A. Shalimova, Karl K. Sabelfeld:
Random walk on spheres method for solving anisotropic drift-diffusion problems. Monte Carlo Methods Appl. 24(1): 43-54 (2018) - [j58]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): 79-92 (2018) - [j57]Karl K. Sabelfeld, Georgy Eremeev:
A hybrid kinetic-thermodynamic Monte Carlo model for simulation of homogeneous burst nucleation. Monte Carlo Methods Appl. 24(3): 193-202 (2018) - [j56]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: 46-56 (2018) - [j55]Karl K. Sabelfeld:
Stochastic projection methods and applications to some nonlinear inverse problems of phase retrieving. Math. Comput. Simul. 143: 169-175 (2018) - 2017
- [j54]Irina A. Shalimova, Karl K. Sabelfeld:
Stochastic polynomial chaos expansion method for random Darcy equation. Monte Carlo Methods Appl. 23(2): 101 (2017) - [j53]Karl K. Sabelfeld:
Random walk on spheres algorithm for solving transient drift-diffusion-reaction problems. Monte Carlo Methods Appl. 23(3): 189 (2017) - [c4]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: 205-214 - 2016
- [j52]Karl Sabelfeld:
Splitting and survival probabilities in stochastic random walk methods and applications. Monte Carlo Methods Appl. 22(1): 55-72 (2016) - [j51]Karl Sabelfeld:
Random walk on semi-cylinders for diffusion problems with mixed Dirichlet-Robin boundary conditions. Monte Carlo Methods Appl. 22(2): 117-131 (2016) - [j50]Karl K. Sabelfeld:
Vector Monte Carlo stochastic matrix-based algorithms for large linear systems. Monte Carlo Methods Appl. 22(3): 259-264 (2016) - [j49]Karl K. Sabelfeld:
Random walk on spheres method for solving drift-diffusion problems. Monte Carlo Methods Appl. 22(4): 265-275 (2016) - 2015
- [j48]Karl Sabelfeld, Alexander I. Levykin, Anastasiya E. Kireeva:
Stochastic simulation of fluctuation-induced reaction-diffusion kinetics governed by Smoluchowski equations. Monte Carlo Methods Appl. 21(1): 33-48 (2015) - [j47]Dmitry Kolyukhin, Karl Sabelfeld:
Stochastic small perturbation based simulation technique for solving isotropic elastostatics equations. Monte Carlo Methods Appl. 21(2): 153-161 (2015) - [j46]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): 189-203 (2015) - [c3]Anastasiya E. Kireeva, Karl K. Sabelfeld:
Cellular Automata Model of Electrons and Holes Annihilation in an Inhomogeneous Semiconductor. PaCT 2015: 191-200 - 2014
- [j45]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: 697-701 (2014) - [j44]Karl Sabelfeld, Alexander I. Levykin:
A spectral method for isotropic diffusion equation with random concentration fluctuations of incoming flux of particles through circular-shaped boundaries. Monte Carlo Methods Appl. 20(3): 173 (2014) - [j43]Irina A. Shalimova, Karl Sabelfeld:
Stochastic polynomial chaos based algorithm for solving PDEs with random coefficients. Monte Carlo Methods Appl. 20(4): 279-289 (2014) - 2013
- [j42]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): 5123-5139 (2013) - [j41]Orazgeldy Kurbanmuradov, Karl Sabelfeld, Peter R. Kramer:
Randomized Spectral and Fourier-Wavelet Methods for multidimensional Gaussian random vector fields. J. Comput. Phys. 245: 218-234 (2013) - 2012
- [j40]Karl Sabelfeld, Nadezhda Mozartova:
Stochastic boundary collocation and spectral methods for solving PDEs. Monte Carlo Methods Appl. 18(3): 217-263 (2012) - 2011
- [j39]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): 295-317 (2011) - 2010
- [j38]Alexander D. Egorov, Karl Sabelfeld:
Approximate formulas for expectations of functionals of solutions to stochastic differential equations. Monte Carlo Methods Appl. 16(2): 95-127 (2010) - [j37]Alain Dubus, Karl Sabelfeld:
Editiorial. Monte Carlo Methods Appl. 16(3-4): 195 (2010) - [j36]Karl Sabelfeld, Nadja Loshchina:
Stochastic iterative projection methods for large linear systems. Monte Carlo Methods Appl. 16(3-4): 343-359 (2010) - [c2]Karl Sabelfeld:
Stochastic Algorithms in Linear Algebra - beyond the Markov Chains and von Neumann - Ulam Scheme. NMA 2010: 14-28
2000 – 2009
- 2009
- [j35]Karl Sabelfeld, Orazgeldy Kurbanmuradov, Alexander I. Levykin:
Stochastic simulation of particle transport by a random Darcy flow through a porous cylinder. Monte Carlo Methods Appl. 15(1): 63-90 (2009) - [j34]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): 257-284 (2009) - [c1]Karl Sabelfeld:
Stochastic Simulation for Solving Random Boundary Value Problems and Some Applications. LSSC 2009: 26-39 - 2008
- [j33]Karl Sabelfeld:
Expansion of random boundary excitations for elliptic PDEs. Monte Carlo Methods Appl. 13(5-6): 405-453 (2008) - [j32]Orazgeldy Kurbanmuradov, Karl Sabelfeld:
Convergence of Fourier-Wavelet Models for Gaussian Random Processes. SIAM J. Numer. Anal. 46(6): 3084-3112 (2008) - 2007
- [j31]Peter R. Kramer, Orazgeldy Kurbanmuradov, Karl Sabelfeld:
Comparative analysis of multiscale Gaussian random field simulation algorithms. J. Comput. Phys. 226(1): 897-924 (2007) - [j30]Karl Sabelfeld, Alexander I. Levykin, Tatiana Privalova:
A Fast Stratified Sampling Simulation of Coagulation Processes. Monte Carlo Methods Appl. 13(1): 71-88 (2007) - 2006
- [j29]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): 55-93 (2006) - [j28]Orazgeldy Kurbanmuradov, Karl Sabelfeld:
Exponential bounds for the probability deviations of sums of random fields. Monte Carlo Methods Appl. 12(3): 211-229 (2006) - [j27]Orazgeldy Kurbanmuradov, Karl Sabelfeld:
Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields. Monte Carlo Methods Appl. 12(5): 395-445 (2006) - 2005
- [j26]Dmitry Kolyukhin, Karl Sabelfeld:
Stochastic flow simulation in 3D porous media. Monte Carlo Methods Appl. 11(1): 15-37 (2005) - 2004
- [j25]Dmitry Kolyukhin, Karl Sabelfeld:
Stochastic Eulerian model for the flow simulation in porous media. Unconfined aquifers. Monte Carlo Methods Appl. 10(3-4): 345-357 (2004) - [j24]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): 559-574 (2004) - [j23]Karl Sabelfeld:
Foreword. Monte Carlo Methods Appl. 10(3-4): i-ii (2004) - 2003
- [j22]Karl Sabelfeld, Elena V. Shkarupa:
Functional Random Walk on Spheres algorithm for biharmonic equation: optimization and error estimation. Monte Carlo Methods Appl. 9(1): 51-65 (2003) - [j21]Orazgeldy Kurbanmuradov, Alexander I. Levykin, Üllar Rannik, Karl Sabelfeld, Timo Vesala:
Stochastic Lagrangian footprint calculations over a surface with an abrupt change of roughness height. Monte Carlo Methods Appl. 9(2): 167-188 (2003) - [j20]Karl Sabelfeld, Dmitry Kolyukhin:
Stochastic Eulerian model for the flow simulation in porous media. Monte Carlo Methods Appl. 9(3): 271-290 (2003) - [j19]Anastasia Kolodko, Karl Sabelfeld:
Stochastic particle methods for Smoluchowski coagulation equation: variance reduction and error estimations. Monte Carlo Methods Appl. 9(4): 315-339 (2003) - [j18]Orazgeldy Kurbanmuradov, Karl Sabelfeld, Olivier F. Smidts, Harry Vereecken:
A Lagrangian Stochastic Model for the Transport in Statistically Homogeneous Porous Media. Monte Carlo Methods Appl. 9(4): 341-366 (2003) - [j17]Karl Sabelfeld, Anastasia Kolodko:
Stochastic Lagrangian models and algorithms for spatially inhomogeneous Smoluchowski equation. Math. Comput. Simul. 61(2): 115-137 (2003) - 2002
- [j16]Karl Sabelfeld, Irina A. Shalimova:
Random Walk on Spheres methods for iterative solution of elasticity problems. Monte Carlo Methods Appl. 8(2): 171-202 (2002) - 2001
- [j15]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): 223-228 (2001) - [j14]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): 245-264 (2001) - [j13]Karl Sabelfeld, Irina A. Shalimova:
Forward and Backward Stochastic Lagrangian Models for turbulent transport and the well-mixed condition. Monte Carlo Methods Appl. 7(3-4): 369-382 (2001) - 2000
- [j12]Karl Sabelfeld, Orazgeldy Kurbanmuradov:
Coagulation of aerosol particles in intermittent turbulent flows. Monte Carlo Methods Appl. 6(3): 211-254 (2000)
1990 – 1999
- 1999
- [j11]Orazgeldy Kurbanmuradov, Üllar Rannik, Karl Sabelfeld, Timo Vesala:
Direct and Adjoint Monte Carlo Algorithms for the Footprint Problem. Monte Carlo Methods Appl. 5(2): 85-112 (1999) - 1998
- [j10]Karl Sabelfeld, Orazgeldy Kurbanmuradov:
One-Particle Stochastic Lagrangian Model for Turbulent Dispersion in Horizontally Homogeneous Turbulence. Monte Carlo Methods Appl. 4(2): 127-140 (1998) - [j9]Wolfgang Dreyer, Matthias Kunik, Karl Sabelfeld, Nikolai A. Simonov, K. Wilmanski:
Iterative procedure for multidimensional Euler equations. Monte Carlo Methods Appl. 4(3): 253-272 (1998) - 1997
- [j8]Karl K. Sabelfeld, Orazgeldy Kurbanmuradov:
Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Monte Carlo Methods Appl. 3(1): 53-72 (1997) - [j7]Orazgeldy Kurbanmuradov, Karl Sabelfeld, D. Koluhin:
Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results. Monte Carlo Methods Appl. 3(3): 199-224 (1997) - [j6]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): 275-312 (1997) - 1996
- [j5]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): 41-88 (1996) - [j4]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): 159-171 (1996) - 1995
- [j3]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): 1-34 (1995) - [j2]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): 101-136 (1995) - [j1]Karl K. Sabelfeld, Irina A. Shalimova:
Random Walk on Spheres Process for Exterior Dirichlet Problem. Monte Carlo Methods Appl. 1(4): 325-331 (1995)
Coauthor Index
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