Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations

DOI10.1137/0607027zbMath0594.34003OpenAlexW2060220292MaRDI QIDQ3724715

Kenneth D. Clark

Publication date: 1986

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0607027

zbMATH Keywords

numerical solutionfirst order differential equationGear's backward difference methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory for ordinary differential equations (34A99)

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Stability preserving integration of index-1 DAEs., A structural form for higher-index semistate equations. I: Theory and applications to circuit and control theory, Control problem structure and the numerical solution of linear singular systems, Runge-Kutta methods for DAEs. A new approach, Differential algebraic equations with properly stated leading terms, The numerical solution of some higher-index time-varying semistate systems by difference methods, Convergence of BDF approximations for nonsolvable differential algebraic equations, Constrained least squares methods for linear timevarying DAE systems, Analytical and numerical solutions to higher index linear variable coefficient DAE systems, Differential algebraic systems anew

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