An index reduction method for linear Hessenberg systems

DOI10.1016/j.amc.2005.01.074zbMath1093.65080OpenAlexW2134272368MaRDI QIDQ814752

N. E. Zubov

Publication date: 7 February 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.01.074

zbMATH Keywords

Chebyshev polynomialspseudospectral methodnumerical examplesdifferential algebraic equationindex reductionHessenberg system

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80)

Related Items (10)

Adomian decomposition method for solution of nonlinear differential algebraic equations ⋮ The numerical solution of differential-algebraic equations by sinc-collocation method ⋮ Application of He's variational iteration method for solution of differential-algebraic equations ⋮ Solving system of DAEs by homotopy analysis method ⋮ On sinc discretization method and block-tridiagonal preconditioning for second-order differential-algebraic equations ⋮ A semi‐analytical technique for the solution of differential‐algebraic equations and applications in flow of an incompressible viscous fluid ⋮ Numerical algorithms for the determinant evaluation of general Hessenberg matrices ⋮ Adomian decomposition method for solution of differential-algebraic equations ⋮ A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms ⋮ Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications

Cites Work

• Unnamed Item
• Reducing index, and pseudospectral methods for differential-algebraic equations.
• Reducing index method for differential-algebraic equations with constraint singularities
• Regularization methods for solving differential-algebraic equations
• A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution
• ODE Methods for the Solution of Differential/Algebraic Systems
• Sequential Regularization Methods for Higher Index DAE<scp>s</scp> with Constraint Singularities: The Linear Index-2 Case

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