Runge-Kutta-Nyström methods for hyperbolic problems with time-dependent coefficients

DOI10.1016/0898-1221(87)90164-7zbMath0637.65119OpenAlexW2036562095MaRDI QIDQ1098598

Ohannes A. Karakashian

Publication date: 1987

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90164-7

zbMATH Keywords

stabilityrate of convergencetime-dependent coefficientsRunge-Kutta-Nyström methodsrefinementextrapolation techniquepreconditioned iterative methodGalerkin fully discrete approximationsglobal order of accuracy

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Method of lines for boundary value problems involving PDEs (65N40)

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On implicity Runge-Kutta methods with a stability function having distinct real poles

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