Indexes and special discretization methods for linear partial differential algebraic equations

DOI10.1023/A:1022370703243zbMath0941.65096OpenAlexW63458695MaRDI QIDQ1307243

V. Pereyra

Publication date: 1 December 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022370703243

zbMATH Keywords

convergencenumerical examplesmethod of linesfull discretizationlinear partial differential algebraic equations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (24)

The numerical solution of partial differential-algebraic equations ⋮ Viscoplastic Deformation from the DAE Perspective ‐ a Benchmark Problem ⋮ On the History of Differential-Algebraic Equations ⋮ Stability analysis of a degenerate hyperbolic system modelling a heat exchanger ⋮ A numerical method for partial differential algebraic equations based on differential transform method ⋮ Three-layer finite-difference method for linear partial differential-algebraic systems ⋮ Compact block boundary value methods for semi‐linear delay‐reaction–diffusion equations with algebraic constraints ⋮ Analytical solutions for systems of singular partial differential-algebraic equations ⋮ A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells ⋮ On the stability of an implicit spline collocation difference scheme for linear partial differential algebraic equations ⋮ On discrete analogues of nonlinear implicit differential equations ⋮ Convergence of Runge-Kutta methods applied to linear partial differential-algebraic equations ⋮ Perturbation index of linear partial differential-algebraic equations ⋮ Suboptimal control of a 2D molten carbonate fuel cell PDAE model ⋮ The Flexibility of DAE Formulations ⋮ Existence of solution to some mixed problems for linear differential-algebraic systems of partial differential equations ⋮ Discretization based indices for semilinear partial differential algebraic equations ⋮ A moving grid algorithm for a heat exchanger with phase changes ⋮ Order reduction of stiff solvers at elastic multibody systems ⋮ Modified reduced differential transform method for partial differential-algebraic equations ⋮ Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints ⋮ On quasi-linear PDAEs with convection: Applications, indices, numerical solution ⋮ Differential algebraic systems anew ⋮ Completion to involution and semidiscretisations

Uses Software

• Unnamed Item

This page was built for publication: Indexes and special discretization methods for linear partial differential algebraic equations