Three-layer finite-difference method for linear partial differential-algebraic systems

DOI10.1134/S0012266110040130zbMath1208.65128OpenAlexW2048778398MaRDI QIDQ610326

S. V. Gaidomak

Publication date: 8 December 2010

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266110040130

zbMATH Keywords

stabilityconvergencecollocation methodinitial boundary value problemshyperbolic systemmatrix pencilspline-collocation methodfirst order linear partial differential-algebraic systemsthree-layer finite difference method

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear ordinary differential equations and systems (34A30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial-boundary value problems for first-order hyperbolic systems (35L50) Numerical methods for differential-algebraic equations (65L80)

Related Items (1)

The canonical structure of a pencil of degenerate matrix functions

Cites Work

• Indexes and special discretization methods for linear partial differential algebraic equations
• Convergence of Runge-Kutta methods applied to linear partial differential-algebraic equations
• The Index of an Infinite Dimensional Implicit System
• Unnamed Item

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