A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions
From MaRDI portal
Publication:2374912
DOI10.1016/j.jcp.2015.10.027zbMath1349.65533OpenAlexW2188420717MaRDI QIDQ2374912
Marco A. Ribeiro, Juan A. Acebrón
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10071/10525
Monte Carlo methods (65C05) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items (7)
Nonlinear heat wave propagation in a rigid thermal conductor ⋮ Asymptotic-Preserving Monte Carlo Methods for Transport Equations in the Diffusive Limit ⋮ Telegraph process with elastic boundary at the origin ⋮ A multigrid-like algorithm for probabilistic domain decomposition ⋮ Revisiting Kac's method: a Monte Carlo algorithm for solving the telegrapher's equations ⋮ The PDD method for solving linear, nonlinear, and fractional PDEs problems ⋮ Hybrid PDE solver for data-driven problems and modern branching
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Highly efficient numerical algorithm based on random trees for accelerating parallel Vlasov-Poisson simulations
- Random flights governed by Klein-Gordon-type partial differential equations
- A new parallel solver suited for arbitrary semilinear parabolic partial differential equations based on generalized random trees
- Flying randomly in \(\mathbb R^d\) with Dirichlet displacements
- Probability law, flow function, maximum distribution of wave-governed random motions and their connections with Kirchhoff's laws
- A stochastic model related to the telegrapher's equation
- Probabilistically induced domain decomposition methods for elliptic boundary-value problems
- Stochastic solutions of some nonlinear partial differential equations
- Poisson–Vlasov in a strong magnetic field: A stochastic solution approach
- Numerical dispersion and numerical loss in explicit finite-difference time-domain methods in lossy media
- On random time and on the relation between wave and telegraph equations
- Novel solutions of the Helmholtz equation and their application to diffraction
- Monte Carlo Methods for Applied Scientists
- Partial Differential Equations
- Random Walk and the Theory of Brownian Motion
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
- The instability of the Yee scheme for the ``magic time step
This page was built for publication: A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions
