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

DOI10.1007/BF01932708zbMath0673.65050OpenAlexW2042156583MaRDI QIDQ1120963

Stephen L. Keeling

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01932708

zbMATH Keywords

stabilityparallel computation\(A\)-stabilityorder reductionmethodsimplicit methods\(A\)-stable methodsmultiplyreal-pole sandwichsingly implicit Runge-Kutta

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) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

Highly stable parallel Runge-Kutta methods ⋮ Numerical results for a parallel linearly-implicit Runge-Kutta method ⋮ Real pole approximations to the exponential function ⋮ An inverse eigenvalue problem: Computing \(B\)-stable Runge-Kutta methods having real poles ⋮ Parallel methods for initial value problems ⋮ Runge-Kutta research in Trondheim ⋮ On the use of parallel processors for implicit Runge-Kutta methods ⋮ Algebraic characterization of I-stable Runge-Kutta methods

Cites Work

• Unnamed Item
• A study of B-convergence of Runge-Kutta methods
• Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
• On the \(A_ 0\)-acceptability of rational approximations to the exponential function with only real poles
• Runge-Kutta-Nyström methods for hyperbolic problems with time-dependent coefficients
• On the stability of rational approximations to the cosine with only imaginary poles
• The real-pole sandwich for rational approximations and oscillation equations
• Algebraically Stable and Implementable Runge-Kutta Methods of High Order
• On Runge-Kutta Methods for Parabolic Problems with Time-Dependent Coefficients
• On the Parallel Implementation of Implicit Runge–Kutta Methods
• Highest possible order of algebraically stable diagonally implicit runge-kutta methods
• Order stars and stability theorems
• Attainable order of rational approximations to the exponential function with only real poles
• High order algebraically stable Runge-Kutta methods
• Implicit Runge-Kutta Processes

This page was built for publication: On implicity Runge-Kutta methods with a stability function having distinct real poles