Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs
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Publication:5041991
DOI10.1090/mcom/3766OpenAlexW4294267599WikidataQ114094301 ScholiaQ114094301MaRDI QIDQ5041991
Dongfang Li, Xiaoxi Li, Zhimin Zhang
Publication date: 18 October 2022
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3766
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)
Related Items (6)
Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems ⋮ Resolving entropy growth from iterative methods ⋮ Optimal error estimates of SAV Crank-Nicolson finite element method for the coupled nonlinear Schrödinger equation ⋮ Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems ⋮ A computationally optimal relaxed scalar auxiliary variable approach for solving gradient flow systems ⋮ Convergence of an energy-preserving finite difference method for the nonlinear coupled space-fractional Klein-Gordon equations
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