\(A\)-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers

DOI10.1007/BF02144107zbMath0768.65041OpenAlexW1983256552MaRDI QIDQ1208709

Nguyen Huu Cong

Publication date: 16 May 1993

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02144107

zbMATH Keywords

numerical experimentsparallel computation\(A\)-stabilitypredictor-corrector methodsorder of convergencesecond order differential equations\(A\)-stable methodsdiagonally implicit iterationfully implicit Runge-Kutta Nyström methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Collocation Runge–Kutta–Nyström methods for solving second-order initial value problems, Optimal three-stage implicit exponentially-fitted RKN methods for solving second-order ODEs, A parallel DIRK method for stiff initial-value problems, Exponentially-fitted and trigonometrically-fitted implicit RKN methods for solving \(y^{\prime\prime}=f(t,y)\), A fast convergence parallel DIRKN method and its applications to PDEs, Explicit symmetric Runge-Kutta-Nyström methods for parallel computers, Parallel linear system solvers for Runge-Kutta-Nyström methods, Analysis of trigonometric implicit Runge-Kutta methods, A zero-dissipative phase-fitted fourth order diagonally implicit Runge-Kutta-Nyström method for solving oscillatory problems, Higher order dispersive and dissipative hybrid method for the numerical solution of oscillatory problems, Exponential fitting BDF-Runge-Kutta algorithms, New \(4(3)\) pairs diagonally implicit Runge-Kutta-Nyström method for periodic IVPs, Explicit parallel two-step Runge-Kutta-Nyström methods

Uses Software

• RODAS

Cites Work

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