Reprint of ``Explicit exponential Runge-Kutta methods of high order for parabolic problems

DOI10.1016/J.CAM.2014.01.001zbMath1330.65111OpenAlexW2055989558MaRDI QIDQ2252381

Vu Thai Luan, Alexander Ostermann

Publication date: 17 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.01.001

zbMATH Keywords

semilinear parabolic problemserror boundsstiff problemsexponential integratorsexponential Runge-Kutta methodsstiff order conditions

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (2)

How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems ⋮ High order locally one-dimensional methods for solving two-dimensional parabolic equations

Cites Work

• Unnamed Item
• Exponential Runge-Kutta methods for the Schrödinger equation
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Exponential Runge-Kutta methods for parabolic problems.
• Exponential integrators
• Exponential Runge–Kutta Methods for Stiff Kinetic Equations
• Exponential Integrators for Large Systems of Differential Equations
• Fourth-Order Time-Stepping for Stiff PDEs
• On Runge-Kutta processes of high order
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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