Embedded SDIRK-methods of basic order three

DOI10.1007/BF01934920zbMath0554.65053MaRDI QIDQ760184

Syvert P. Nørsett, Per Grove Thomsen

Publication date: 1984

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

local error estimatessingly diagonally implicit Runge-Kutta methodalgebraically stable Runge-Kutta methodsdiagonally implicit methodsSDIRK-method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Switching between modified Newton and fix-point iteration for implicit ODE-solvers, A variable parameter embedded DIRK algorithm for the numerical integration of stiff systems of ODEs, Local error control in SDIRK-methods, The numerical solution of large systems of stiff IVPs for ODEs, High-order solution methods for grey discrete ordinates thermal radiative transfer, Optimization of high-order diagonally-implicit Runge-Kutta methods, Embedded dirk methods for the numerical integration of stiff systems of odes, Embedded singly diagonally implicit runge-kutta methods (4,5) in (5,6). for the integration of stiff systems of odes, Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations, \(A\)-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers, A Lyapunov and Sacker-Sell spectral stability theory for one-step methods, Runge-Kutta research in Trondheim, The Prothero and Robinson example: convergence studies for Runge-Kutta and Rosenbrock-Wanner methods, Optimal order diagonally implicit Runge-Kutta methods

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