Explicit Runge-Kutta methods for stiff problems with a gap in their eigenvalue spectrum

DOI10.1007/s10915-018-0737-3zbMath1404.65054OpenAlexW2803620469MaRDI QIDQ1632214

Juan I. Montijano, Philippe Bocher, Luis Rández, Marnix van Daele

Publication date: 13 December 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0737-3

zbMATH Keywords

stiff problemsexplicit Runge-Kutta methodsexponential Fittinggap in the eigenvalue spectrum

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Complexity and performance of numerical algorithms (65Y20) Numerical methods for stiff equations (65L04)

Related Items (4)

Solving nonlinear parabolic PDEs in several dimensions: parallelized ESERK codes ⋮ Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems ⋮ Singly TASE operators for the numerical solution of stiff differential equations by explicit Runge-Kutta schemes ⋮ Exponential and trigonometrical fittings: user-friendly expressions for the coefficients

Uses Software

• Matlab
• RKC
• RODAS
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• PIROCK
• S-ROCK
• MATLAB ODE suite

Cites Work

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• The Concept of B-Convergence
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• A Fourth Order Exponentially Fitted Method
• Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• Explicit Runge-Kutta methods for parabolic partial differential equations

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