On the Asymptotic and Numerical Analyses of Exponentially III‐Conditioned Singularly Perturbed Boundary Value Problems
DOI10.1002/sapm1995943271zbMath0824.65070OpenAlexW2173131371MaRDI QIDQ4836016
Publication date: 3 July 1995
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm1995943271
Burgers' equationasymptotic methodsdouble well potentialAllen-Cahn equationSturm-Liouville systemsHermite operatorintegral equation formulationexit operatorill-conditioned boundary value problems
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) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)
Related Items (4)
Cites Work
- Unnamed Item
- Convergence to steady state of solutions of Burgers' equation
- On the rate of asymptotic eigenvalue degeneracy
- Some Perspectives on the Eigenvalue Problem
- A Geometric Approach to Boundary Layer Problems Exhibiting Resonance
- On the numerical solution of two-point boundary value problems
- Spectral Integration and Two-Point Boundary Value Problems
- Free Layers in a Singularly Perturbed Boundary Value Problem
- Uniform Solution of Boundary Layer Problems Exhibiting Resonance
- A Variational Principle for the Ackerberg-O'Malley Resonance Problem
- The Nature of Resonance in a Singular Perturbation Problem of Turning Point Type
- Resonance for Singular Perturbation Problems
- Another Look at Ackerberg–O’MalleyResonance
- Eigenvalues of the Fokker–Planck Operator and the Approach to Equilibrium for Diffusions in Potential Fields
- Asymptotic Exit Time Distributions
- Eliminating Indeterminacy in Singularly Perturbed Boundary Value Problems with Translation Invariant Potentials
- Persistence of Dynamical Systems under Random Perturbations
- Sufficient Conditions for Ackerberg–O’Malley Resonance
- Automatic Solution of the Sturm-Liouville Problem
- A Variational Approach to Singularly Perturbed Boundary Value Problems for Ordinary and Partial Differential Equations with Turning Points
- Global extrapolation integrators for solving Sturm-Liouville problems by shooting
- Boundary Layer Problems Exhibiting Resonance
- Difference Approximations for Boundary and Eigenvalue Problems for Ordinary Differential Equations
This page was built for publication: On the Asymptotic and Numerical Analyses of Exponentially III‐Conditioned Singularly Perturbed Boundary Value Problems