Flux form semi-Lagrangian methods for parabolic problems
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Publication:325735
DOI10.1515/caim-2016-0022zbMath1348.35089arXiv1505.00940OpenAlexW2963990932MaRDI QIDQ325735
Luca Bonaventura, Roberto G. Ferretti
Publication date: 11 October 2016
Published in: Communications in Applied and Industrial Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.00940
Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Second-order parabolic equations (35K10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) First-order hyperbolic equations (35L02)
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Cites Work
- Unnamed Item
- Stability of some generalized Godunov schemes with linear high-order reconstructions
- Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system
- A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
- Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
- Conservative rezoning (remapping) for general quadrilateral meshes
- Stable schemes for partial differential equations: The one-dimensional diffusion equation
- Flux-based method of characteristics for contaminant transport in flowing groundwater
- Incremental remapping as a transport/advection algorithm
- A semi-implicit, semi-Lagrangian, \(p\)-adaptive discontinuous Galerkin method for the shallow water equations
- Conservative semi-Lagrangian schemes for Vlasov equations
- A semi-Lagrangian discontinuous Galerkin method for scalar advection by incompressible flows
- Conservative semi-Lagrangian finite volume schemes
- Numerical solution of the Dirichlet problem for nonlinear parabolic equations by a probabilistic approach
- Semi-Lagrangian Methods for Parabolic Problems in Divergence Form
- Equivalence of Semi-Lagrangian and Lagrange-Galerkin Schemes Under Constant Advection Speed
- The probability approach to numerical solution of nonlinear parabolic equations
- An approximation scheme for the optimal control of diffusion processes
- Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations
- Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations
- A Technique for High-order Treatment of Diffusion Terms in Semi-Lagrangian Schemes
