The PDD method for solving linear, nonlinear, and fractional PDEs problems
DOI10.1007/978-3-030-69236-0_13zbMath1498.65154OpenAlexW3186663577MaRDI QIDQ2050309
Renato Spigler, Ángel Rodríguez-Rozas, Juan A. Acebrón
Publication date: 30 August 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-69236-0_13
Monte Carlodomain decomposition methodselliptic operatorstransport equationspartial differential equationsVlasov-Poisson systemquasi-Monte Carloprobabilistic domain decompositionnonlocal and fractional operators
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Monte Carlo methods (65C05) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Numerical interpolation (65D05) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Parallel numerical computation (65Y05) PDEs with randomness, stochastic partial differential equations (35R60) Statistical mechanics of plasmas (82D10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Semilinear parabolic equations (35K58) Vlasov equations (35Q83) Fractional partial differential equations (35R11)
Cites Work
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- Highly efficient numerical algorithm based on random trees for accelerating parallel Vlasov-Poisson simulations
- Efficient parallel solution of nonlinear parabolic partial differential equations by a probabilistic domain decomposition
- A new parallel solver suited for arbitrary semilinear parabolic partial differential equations based on generalized random trees
- Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees
- A comparative study on nonlocal diffusion operators related to the fractional Laplacian
- A numerical method based on the Fourier-Fourier transform approach for modeling 1-D electron plasma evolution
- Weak approximation of killed diffusion using Euler schemes.
- Exact asymptotics for the probability of exit from a domain and applications to simulation
- Absorbing boundaries and optimal stopping in a stochastic differential equation
- What is the fractional Laplacian? A comparative review with new results
- Stopped diffusion processes: boundary corrections and overshoot
- Conservative semi-Lagrangian schemes for Vlasov equations
- A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions
- Multiplicative cascades applied to PDEs (two numerical examples)
- Probabilistically induced domain decomposition methods for elliptic boundary-value problems
- Convergence rate of the Sherman and Peskin branching stochastic particle method
- Hybrid PDE solver for data-driven problems and modern branching
- An Exit Probability Approach to Solving High Dimensional Dirichlet Problems
- Functional Integration and Partial Differential Equations. (AM-109)
- Measures of Dependence For Processes in metric spaces
- Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
- Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations
- Discretizations of the Spectral Fractional Laplacian on General Domains with Dirichlet, Neumann, and Robin Boundary Conditions
- Vlasov–Maxwell and Vlasov–Poisson equations as models of a one-dimensional electron plasma
- Poisson–Vlasov in a strong magnetic field: A stochastic solution approach
- Domain Decomposition Solution of Elliptic Boundary-Value Problems via Monte Carlo and Quasi-Monte Carlo Methods
- Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov-Poisson system.
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