A Predicted Sequential Regularization Method for Index-2 Hessenberg DAEs

DOI10.1137/S0036142901384484zbMath1020.65042OpenAlexW1969942989MaRDI QIDQ4539398

Ping Lin, Raymond J. Spiteri

Publication date: 8 July 2002

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142901384484

zbMATH Keywords

singular perturbationnumerical examplespredictor-corrector methoddifferential-algebraic equationsRunge-Kutta methodswaveform relaxationhigher indexsequential regularization method

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for differential-algebraic equations (65L80)

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A fully explicit method for incompressible flow computation. ⋮ A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms ⋮ Approximate solution of a reduced-type index-\(k\) Hessenberg differential-algebraic control system

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