A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions
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Publication:2289848
DOI10.1007/s42967-019-0001-3zbMath1449.65223arXiv1804.10526OpenAlexW2962960621WikidataQ128126004 ScholiaQ128126004MaRDI QIDQ2289848
Zachary J. Grant, David C. Seal, Sigal Gottlieb
Publication date: 27 January 2020
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.10526
Numerical optimization and variational techniques (65K10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (13)
HIGH ORDER EXPLICIT SECOND DERIVATIVE METHODS WITH STRONG STABILITY PROPERTIES BASED ON TAYLOR SERIES CONDITIONS ⋮ Strong stability preserving implicit and implicit-explicit second derivative general linear methods with RK stability ⋮ Multidimensional generalized Riemann problem solver for Maxwell's equations ⋮ Dahlquist's barriers and much beyond ⋮ RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions ⋮ Strong stability-preserving three-derivative Runge-Kutta methods ⋮ High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties ⋮ Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations ⋮ Strong stability preserving second derivative general linear methods with Runge-Kutta stability ⋮ Strong stability preserving integrating factor two-step Runge-Kutta methods ⋮ Strong stability preserving second derivative diagonally implicit multistage integration methods ⋮ SSPTSmethods ⋮ A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh
Uses Software
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