Asymptotic expansions for the extended systems used in the calculation of some singularities in B.V.P'S
DOI10.1080/00207169408804279zbMath0826.34060OpenAlexW1998311342MaRDI QIDQ4839736
Publication date: 17 July 1995
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207169408804279
singularitiesasymptotic expansionbifurcationapproximate solutionnumerical computationRichardson extrapolationdiscretization errorextrapolation schemegeneralized turning points
Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical analysis in abstract spaces (65J99)
Cites Work
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- A direct method for the characterization and computation of bifurcation points with corank 2
- Asymptotic expansions for the error of discretization algorithms for non- linear functional equations
- Bifurcation from simple eigenvalues
- Characterization and Computation of Generalized Turning Points
- Non-simple Turning Points and Cusps
- Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
- Characterization and Computation of Singular Points with Maximum Rank Deficiency
- The numerical treatment of non-trivial bifurcation points
- Multiple shooting and the calculation of some types of singularities in b.v.p.'s
- Numerical computation of symmetry-breaking bifurcation points
- Accurate Difference Methods for Nonlinear Two-Point Boundary Value Problems
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