Accelerated implicit-explicit Runge-Kutta schemes for locally stiff systems

DOI10.1016/j.jcp.2020.110022OpenAlexW3108092304MaRDI QIDQ2120045

Brian C. Vermeire, Siavash Hedayati Nasab

Publication date: 31 March 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.110022

zbMATH Keywords

implicitexplicitRungeKuttaaccelerated

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Computer aspects of numerical algorithms (65Yxx)

Related Items (5)

Third-order paired explicit Runge-Kutta schemes for stiff systems of equations ⋮ Optimal explicit Runge-Kutta time stepping for density-based finite-volume solvers ⋮ Embedded paired explicit Runge-Kutta schemes ⋮ Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations ⋮ Optimal Runge-Kutta stability polynomials for multidimensional high-order methods

Uses Software

• Matlab
• PETSc
• METIS
• RODAS
• CVX
• PyFR

Cites Work

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• Paired explicit Runge-Kutta schemes for stiff systems of equations
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• Graph Implementations for Nonsmooth Convex Programs
• Solving Ordinary Differential Equations I
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• High‐order CFD methods: current status and perspective

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