Strong stability preserving explicit peer methods for discontinuous Galerkin discretizations
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Publication:1635888
DOI10.1007/s10915-017-0573-xzbMath1398.65162OpenAlexW2761280430MaRDI QIDQ1635888
Publication date: 1 June 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0573-x
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (6)
Strong stability preserving transformed DIMSIMs ⋮ Strong stability preserving general linear methods with Runge-Kutta stability ⋮ On the implementation of explicit two-step peer methods with Runge-Kutta stability ⋮ Strong stability preserving Runge-Kutta and linear multistep methods ⋮ Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations ⋮ Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations
Uses Software
Cites Work
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- Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields
- Two-step peer methods with continuous output
- Optimal strong-stability-preserving Runge-Kutta time discretizations for discontinuous Galerkin methods
- On the derivation of explicit two-step peer methods
- Implementation of a discontinuous Galerkin morphological model on two-dimensional unstructured meshes
- Dynamic \(p\)-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations
- Local time-stepping in Runge-Kutta discontinuous Galerkin finite element methods applied to the shallow-water equations
- Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretizations
- Strong stability preserving general linear methods
- Strong stability preserving explicit peer methods
- Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Optimal stability polynomials for numerical integration of initial value problems
- Superconvergent explicit two-step peer methods
- Explicit two-step peer methods
- Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
- Variable-Stepsize Interpolating Explicit Parallel Peer Methods with Inherent Global Error Control
- Optimal Explicit Strong-Stability-Preserving General Linear Methods
- Strong Stability Preserving Two-step Runge–Kutta Methods
- The MATLAB ODE Suite
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- A special stability problem for linear multistep methods
- General linear methods
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