Projected collocation for higher-order higher-index differential- algebraic equations

DOI10.1016/0377-0427(92)90269-4zbMath0772.65049OpenAlexW2063789180MaRDI QIDQ1195734

Linda R. Petzold, Uri M. Ascher

Publication date: 18 January 1993

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

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90269-4

zbMATH Keywords

differential-algebraic equationshigher-orderNumerical exampleshigher-indexprojection collocation scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items

Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index ⋮ Projected Runge-Kutta methods for constrained Hamiltonian systems ⋮ Regularization of index-1 differential-algebraic equations with rank-deficient constraints ⋮ Spectral collocation methods for differential-algebraic equations with arbitrary index ⋮ A reliable direct numerical treatment of differential-algebraic equations by overdetermined collocation: an operator approach ⋮ Numerical solution of differential-algebraic equations in mechanical systems simulation ⋮ ODAE methods for the numerical solution of Euler-Lagrange equations ⋮ A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms ⋮ Exploiting Invariants in the Numerical Solution of Multipoint Boundary Value Problems for DAE ⋮ On the optimum control of differential-algebraic equations ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ PERIODIC SOLUTIONS OF DIFFERENTIAL ALGEBRAIC EQUATIONS WITH TIME DELAYS: COMPUTATION AND STABILITY ANALYSIS

Uses Software

• COLSYS

Cites Work

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