Numerical solution of linear differential-algebraic equations

DOI10.1016/j.amc.2003.12.076zbMath1063.65073OpenAlexW2057651288MaRDI QIDQ1763246

Xianqiang Yang

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.076

zbMATH Keywords

Domain decompositionNumerical examplesDifferential-algebraic equationsPseudospectral methodIndex reduction techniques

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80)

Related Items (9)

Adomian decomposition method for solution of nonlinear differential algebraic equations ⋮ Solving system of DAEs by homotopy analysis method ⋮ A semi‐analytical technique for the solution of differential‐algebraic equations and applications in flow of an incompressible viscous fluid ⋮ Adomian decomposition method for solution of differential-algebraic equations ⋮ Continuation method for computing certain singular points for index-1 differential algebraic equations ⋮ The Differential Transform Method for the Numerical Treatment of Differential-Algebraic Equations with Index 2 ⋮ Numerical Treatment of Differential-Algebraic Equations with Index 2 by Reducing the Index ⋮ An algorithm for solving DAEs with mechanization ⋮ Pseudospectral method for numerical solution of DAEs with an error estimation

Cites Work

• Unnamed Item
• Reducing index, and pseudospectral methods for differential-algebraic equations.
• Reducing index method for differential-algebraic equations with constraint singularities
• Regularization methods for solving differential-algebraic equations
• A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution
• Sequential Regularization Methods for Higher Index DAE<scp>s</scp> with Constraint Singularities: The Linear Index-2 Case

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