Solving high-index DAEs by Taylor series
From MaRDI portal
Publication:1281834
DOI10.1023/A:1019150322187zbMath0921.34014MaRDI QIDQ1281834
Publication date: 22 March 1999
Published in: Numerical Algorithms (Search for Journal in Brave)
Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items (26)
Structural analysis based dummy derivative selection for differential algebraic equations ⋮ Projected explicit and implicit Taylor series methods for DAEs ⋮ Structural Analysis and Dummy Derivatives: Some Relations ⋮ Convergent power series of \(\operatorname{sech}(x)\) and solutions to nonlinear differential equations ⋮ Solving differential-algebraic equations by Taylor series. II: Computing the system Jacobian ⋮ Conversion methods for improving structural analysis of differential-algebraic equation systems ⋮ Method of conditional moments (MCM) for the chemical master equation ⋮ One-step 9-stage Hermite-Birkhoff-Taylor DAE solver of order 10 ⋮ Detecting structures in differential algebraic equations: computational aspects ⋮ An Hermite-Obreschkoff method for stiff high-index DAE ⋮ Status of the differential transformation method ⋮ Least-Squares Collocation for Higher-Index DAEs: Global Approach and Attempts Toward a Time-Stepping Version ⋮ Singularities of the Robotic Arm DAE ⋮ InitDAE: computation of consistent values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Python ⋮ Convergence analysis of least-squares collocation methods for nonlinear higher-index differential-algebraic equations ⋮ High-Order Adaptive Time Stepping for the Incompressible Navier--Stokes Equations ⋮ Automatic implementation of the numerical Taylor series method: a \textsc{Mathematica} and \textsc{Sage} approach ⋮ Projector based integration of DAEs with the Taylor series method using automatic differentiation ⋮ Polynomial cost for solving IVP for high-index DAE ⋮ Pryce pre-analysis adapted to some DAE solvers ⋮ Breaking the limits: The Taylor series method ⋮ Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time ⋮ Performance of the Taylor series method for ODEs/DAEs ⋮ A numerical algorithm for solving higher-order nonlinear BVPs with an application on fluid flow over a shrinking permeable infinite long cylinder ⋮ The structural index of sensitivity equation systems ⋮ Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients
This page was built for publication: Solving high-index DAEs by Taylor series
