Runge-Kutta projection methods with low dispersion and dissipation errors

DOI10.1007/s10444-014-9355-2zbMath1308.65115OpenAlexW2049835313MaRDI QIDQ2017609

Luis Rández, M. P. Laburta, Manuel Calvo, Juan I. Montijano

Publication date: 23 March 2015

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-014-9355-2

zbMATH Keywords

initial value problemsprojection methodsexplicit Runge-Kutta methodsdispersion errornumerical geometric integration

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (10)

Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations ⋮ Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions ⋮ Projected Runge-Kutta methods for constrained Hamiltonian systems ⋮ Numerical methods for non conservative perturbations of conservative problems ⋮ High order \(C^0\)-continuous Galerkin schemes for high order PDEs, conservation of quadratic invariants and application to the Korteweg-de Vries model ⋮ Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations ⋮ Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations ⋮ Invariants preserving schemes based on explicit Runge-Kutta methods ⋮ Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations ⋮ Discrete gradient methods and linear projection methods for preserving a conserved quantity of stochastic differential equations

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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