Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations

DOI10.1090/mcom/3270zbMath1376.65111OpenAlexW2600041055MaRDI QIDQ4586615

Christoph Zimmer, Robert Altmann

Publication date: 30 October 2017

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3270

zbMATH Keywords

stabilityconvergenceregularizationRunge-Kutta methodsStokes equationsimplicit Euler schemePDAEsoperator differential-algebraic equationsoperator daes

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 methods for differential-algebraic equations (65L80) Linear differential equations in abstract spaces (34G10)

Related Items (5)

Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type ⋮ Exponential Integrators for Semi-linear Parabolic Problems with Linear Constraints ⋮ A PDAE formulation of parabolic problems with dynamic boundary conditions ⋮ Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints ⋮ Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints

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