Differential algebraic equations with properly stated leading terms
From MaRDI portal
Publication:1767931
DOI10.1016/j.camwa.2003.05.010zbMath1068.34005OpenAlexW2014065216MaRDI QIDQ1767931
Roswitha März, Inmaculada Higueras
Publication date: 8 March 2005
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2003.05.010
Implicit ordinary differential equations, differential-algebraic equations (34A09) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items
Stability preserving integration of index-1 DAEs. ⋮ Stability preserving integration of index-2 DAEs. ⋮ Effective Numerical Computation of Parameter Dependent Problems ⋮ The tractability index of memristive circuits: branch-oriented and tree-based models ⋮ Local error estimates for moderately smooth problems. I: ODEs and DAEs ⋮ Convergence analysis of a partial differential algebraic system from coupling a semiconductor model to a circuit model ⋮ A new algorithm for index determination in DAEs using algorithmic differentiation ⋮ Linear differential-algebraic equations with properly stated leading term:B-critical points ⋮ 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 ⋮ 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 ⋮ Numerical analysis of DAEs from coupled circuit and semiconductor simulation ⋮ Linear differential-algebraic equations with properly stated leading term:A-critical points ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ Analysis of semi-discretized differential algebraic equation from coupled circuit device simulation ⋮ Computation of consistent initial values for properly stated index 3 DAEs ⋮ A unified approach to linear differential algebraic equations and their adjoints ⋮ Characterizing differential algebraic equations without the use of derivative arrays
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On initial value problems in differential-algebraic equations and their numerical treatment
- Simulating digital circuits numerically -- a charge-oriented ROW approach
- A unified approach to linear differential algebraic equations and their adjoints
- Stability of numerical methods for ordinary differential equations
- 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
- Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations
- Structural analysis of electric circuits and consequences for MNA