An Algebraic Approximation for the Matrix Exponential in Singularly Perturbed Boundary Value Problems

DOI10.1137/0727004zbMath0689.65056OpenAlexW2064729422MaRDI QIDQ3031853

Bernhard A. Schmitt

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727004

zbMATH Keywords

numerical examplesingular perturbationuniform convergencematrix square rootsymmetric difference schemealgebraic approximation to the exponential functionalgebraic stability function

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (7)

Perturbation bounds for matrix square roots and Pythagorean sums ⋮ Krylov Approximations for Matrix Square Roots in Stiff Boundary Value Problems ⋮ Newton's method for solving the tensor square root problem ⋮ On parallel methods for boundary value ODEs ⋮ Stability properties of non-rationally stabilized collocation schemes for stiff boundary value problems ⋮ Construction of higher-order algebraic one-step schemes in stiff BVPs ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

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