Reducing index method for differential-algebraic equations with constraint singularities

DOI10.1016/S0096-3003(03)00624-6zbMath1049.65076OpenAlexW2002434940MaRDI QIDQ1826695

Yanyan Li

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00624-6

zbMATH Keywords

numerical examplepseudospectral methoddifferential-algebraic equationsindex reduction techniquesspectral method with domain decomposition

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 (8)

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 ⋮ A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms ⋮ Numerical solution of linear differential-algebraic equations ⋮ Numerical solution of ordinary differential equations with impulse solution ⋮ Pseudospectral method for numerical solution of DAEs with an error estimation ⋮ An index reduction method for linear Hessenberg systems

Cites Work

• Unnamed Item
• Reducing index, and pseudospectral methods for differential-algebraic equations.
• 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 Nonlinear Higher-Index DAEs
• Sequential Regularization Methods for Higher Index DAE<scp>s</scp> with Constraint Singularities: The Linear Index-2 Case

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