On the stability of spline collocation difference scheme for linear multidimensional differential-algebraic systems

DOI10.3103/S1066369X22080096MaRDI QIDQ2688313

Yanyan Li

Publication date: 2 March 2023

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilitydifference schememultidimensional difference-algebraic system

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Linear first-order PDEs (35F05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (1)

On the stability of a locally one-dimensional difference scheme for a first-order linear differential-algebraic system of index \((1, 0)\)

Cites Work

• The canonical structure of a pencil of degenerate matrix functions
• Partial differential-algebraic systems of second order with symmetric convection
• Numerical analysis of DAEs from coupled circuit and semiconductor simulation
• Study and solution of degenerate systems of ordinary differential equations by means of a change of variables
• Upon the concept of index of linear partial differential-algebraic equations
• On qualitative properties of differential-algebraic equations
• Stability of a spline collocation difference scheme for a quasi-linear differential algebraic system of first-order partial differential equations
• Regularization of differential-algebraic equations
• On the stability of an implicit spline collocation difference scheme for linear partial differential algebraic equations
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