The method of normal splines for linear implicit differential equations of second order

zbMath1113.65069MaRDI QIDQ875187

N. E. Zubov

Publication date: 11 April 2007

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

Full work available at URL: https://eudml.org/doc/231857

zbMATH Keywords

algorithmnumerical examplesdifferential-algebraic equationsmethod of linesgrid generationcollocationstiff problemsinitial and boundary-value problemssystems of linear ordinary differential equations of second order

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for differential-algebraic equations (65L80) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

On singular points of linear differential-algebraic equations with perturbations in the form of integral operators ⋮ On existence and classification of singular points for higher order differential algebraic equations ⋮ The method of normal splines for linear DAEs on the number semi-axis

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