Rosenbrock methods with an explicit first stage

DOI10.1080/00207160.2015.1012837zbMath1343.65093OpenAlexW2012590081MaRDI QIDQ5739594

Adrian Sandu

Publication date: 19 July 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1012837

zbMATH Keywords

algorithmstability analysisnumerical examplesRosenbrock methodssemidiscretizationorder reductionparabolic PDEsinexact Jacobians

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• Unnamed Item
• Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
• Stability and convergence at the PDE/stiff ODE interface
• Singly diagonally implicit Runge-Kutta methods with an explicit first stage
• Rosenbrock Methods for Partial Differential Equations and Fractional Orders of Convergence
• Linearly implicit time discretization of non-linear parabolic equations
• The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error