Indexes and Special Discretization Methods for Linear partial Differential Algebraic Equations
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- Type
- article
- Published
- 1999-09-01
- Cited by
- 55
- References
- 18
- OpenAlex
- https://openalex.org/W63458695
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:117306536
Keywords
Mathematics, Numerical analysis, Convergence (economics), Mathematical analysis, Order (exchange)
References
- The simulation of pantograph and Catenary: a PDAE approach
- Systems of Nonlinear Partial Differential Equations: Applications to Biology and Engineering
- Differential-algebraic equations and their numerical treatment
- The numerical solution of differential-algebraic systems by Runge-Kutta methods
- Modelling a flexible slider crank mechanism by a mixed system of DAEs and PDEs
- The Index of an Infinite Dimensional Implicit System
- Discretization based indices for semilinear partial differential algebraic equations
- A Sequential Regularization Method for Time-Dependent Incompressible Navier--Stokes Equations
- Magnetohydrodynamic flow in a rectangular duct
- Numerical solution of initial-value problems in differential-algebraic equations
- ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS
- DAEs arising from traveling wave solutions of PDEs
- Differential/Algebraic Equations are not ODE's
- Numerical Partial Differential Equations: Finite Difference Methods
- Navier-Stokes equations as a differential-algebraic system
- Differential and Integral Inequalities
- ORDINARY DIFFERENTIAL EQUATIONS
- Existence and accuracy for matrix refinement equations
Cited by
- Model reduction for reaction-convection processes with fast and slow reactions
- The Numerical Solution of Partial Differential-Algebraic Equations (PDAEs) By Multivariate Pade Approximation
- On the Stability of Some Spline Collocation Implicit Difference Scheme
- A PDAE Model for Interconnected Linear RLC Networks
- Solution Procedure for Systems of Partial Dierential-Algeb raic Equations by NHPM and Laplace-Pad e Resummation
- A further index concept for linear PDAEs of hyperbolic type
- Convergence of Runge--Kutta methods applied to linear partial differential-algebraic equations
- On discrete analogues of nonlinear implicit differential equations
- Three-layer finite difference method for solving linear differential algebraic systems of partial differential equations
- Perturbation index of linear partial differential-algebraic equations
- Model reduction and control of multi-scale reaction-convection processes
- Differential algebraic systems anew
- On the stability of an implicit spline collocation difference scheme for linear partial differential algebraic equations
- Semidiscretization may act like a deregularization
- The Perturbation and ADAE Index of a Degenerated Hyperbolic System
- Coupling DAEs and PDEs for Simulating the Interaction of Pantograph and Catenary
- Three-layer finite-difference method for linear partial differential-algebraic systems
- Index and Characteristic Analysis of Linear PDAE Systems
- A Numerical Method for Partial Differential Algebraic Equations Based on Differential Transform Method
- Completion to involution and semidiscretisations
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