High-order low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes

DOI10.1016/j.jcp.2015.01.020zbMath1352.65191OpenAlexW1983494768MaRDI QIDQ729107

Farshid Nazari, Martin Charron, Abdolmajid M. Mohammadian

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.01.020

zbMATH Keywords

time integrationnonlinear advectioncomputational acousticsRunge-Kuttaoptimal schemeshigh-order accuratediagonally-implicitlow-dissipation low-dispersion

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (7)

Phase error analysis of implicit Runge-Kutta methods: new classes of minimal dissipation low dispersion high order schemes ⋮ On Richardson extrapolation for low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes ⋮ Efficiency of diagonally implicit Runge-Kutta time integration schemes in incompressible two-phase flow simulations ⋮ A new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion error ⋮ Extended phase properties and stability analysis of RKN-type integrators for solving general oscillatory second-order initial value problems ⋮ On Dissipation and Dispersion Errors Optimization, A-Stability and SSP Properties ⋮ A modified monotonicity-preserving high-order scheme with application to computation of multi-phase flows

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