Diagonally implicit Runge-Kutta methods for 3D shallow water applications

DOI10.1023/A:1018969203026zbMath0958.76063OpenAlexW1853991144MaRDI QIDQ1968629

P. J. van der Houwen, B. P. Sommeijer

Publication date: 21 March 2000

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

Full work available at URL: https://doi.org/10.1023/a:1018969203026

zbMATH Keywords

diagonally implicit Runge-Kutta methodsstability boundaryapproximately factorized Newton processButcher matrixdiagonal vectorminimal maximum normshallow water problem

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

New optimized implicit-explicit Runge-Kutta methods with applications to the hyperbolic conservation laws, Variable step-size fractional step Runge-Kutta methods for time-dependent partial differential equations, Approximate factorization for time-dependent partial differential equations, Note on the time integration of 3D advection-reaction equations