Differential algebraic systems anew
From MaRDI portal
Publication:1612465
DOI10.1016/S0168-9274(01)00158-1zbMath1005.65080OpenAlexW2011432828MaRDI QIDQ1612465
Publication date: 22 August 2002
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00158-1
Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)
Related Items
Stability preserving integration of index-1 DAEs., Stability preserving integration of index-2 DAEs., On the numerical solution of second-order stiff linear differential-algebraic equations, Solvability of linear differential algebraic equations with properly stated leading terms, On the loss of \(L\)-stability of the implicit Euler method for a linear problem, Semistate models of electrical circuits including memristors, On the History of Differential-Algebraic Equations, The tractability index of memristive circuits: branch-oriented and tree-based models, On solving optimal control problems with higher index differential-algebraic equations, Linearly implicit Liénard systems, The index of linear differential algebraic equations with properly stated leading terms, Dynamical properties of electrical circuits with fully nonlinear memristors, Optimal control of differential-algebraic equations of higher index. I: First-order approximations, On BDF-based multistep schemes for some classes of linear differential-algebraic equations of index at most 2, On self-regularization properties of a difference scheme for linear differential-algebraic equations, Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point, Nonsmooth Hessenberg differential-algebraic equations, An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs, Augmented nodal matrices and normal trees, Singularity crossing phenomena in DAEs: A two-phase fluid flow application case study, Collocation methods for index 1 DAEs with a singularity of the first kind, DAEs in Circuit Modelling: A Survey, A Differential-Algebraic Riccati Equation for Applications in Flow Control, Collocation-variation difference schemes with several collocation points for differential-algebraic equations, Integral-Algebraic Equations: Theory of Collocation Methods II, Cyclic matrices of weighted digraphs, Numerical solution of differential-algebraic equations using the spline collocation-variation method, Characterizing differential algebraic equations without the use of derivative arrays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On initial value problems in differential-algebraic equations and their numerical treatment
- Indexes and special discretization methods for linear partial differential algebraic equations
- Simulating digital circuits numerically -- a charge-oriented ROW approach
- Stability preserving integration of index-1 DAEs.
- Stability preserving integration of index-2 DAEs.
- Runge-Kutta methods for DAEs. A new approach
- Linear differential algebraic equations of index 1 and their adjoint equations
- Analyzing the stability behaviour of solutions and their approximations in case of index-$2$ differential-algebraic systems
- Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations
- On Asymptotics in Case of Linear Index-2 Differential-Algebraic Equations
- The Index of an Infinite Dimensional Implicit System
- Structural analysis of electric circuits and consequences for MNA
- A Differentiation Index for Partial Differential-Algebraic Equations
- On Linear-Quadratic Optimal Control Problems for Time-Varying Descriptor Systems
- Stability of Computational Methods for Constrained Dynamics Systems
