Improvement of Rosenbrock-Wanner Method RODASP

DOI10.1007/978-3-030-53905-4_6zbMath1453.65203OpenAlexW3092037802MaRDI QIDQ5132489

Gerd Steinebach

Publication date: 12 November 2020

Published in: Progress in Differential-Algebraic Equations II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-53905-4_6

zbMATH Keywords

differential-algebraic equationsRosenbrock-Wanner methodsorder reduction

Mathematics Subject Classification ID

Numerical methods for differential-algebraic equations (65L80)

Related Items (1)

Construction of Rosenbrock-Wanner method Rodas5p and numerical benchmarks within the Julia differential equations package

Uses Software

• Matlab
• RODAS
• deTestSet
• Ode15s
• RODASP

Cites Work

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• A test set for stiff initial value problem solvers in the open source software R: Package \textbf{deTestSet}
• The Prothero and Robinson example: convergence studies for Runge-Kutta and Rosenbrock-Wanner methods
• Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
• Order barriers for the B-convergence of ROW methods
• The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations
• Rosenbrock methods for differential algebraic equations
• Improved traditional Rosenbrock-Wanner methods for stiff ODEs and DAEs
• Generalized ROW-type methods for solving semi-explicit DAEs of index-1
• Rosenbrock Methods for Partial Differential Equations and Fractional Orders of Convergence
• An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
• Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Solving ODEs with MATLAB

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