Sufficient Conditions for the Uniform Convergence of a Difference Scheme for a Singularly Perturbed Turning Point Problem
From MaRDI portal
Publication:3790570
DOI10.1137/0725038zbMath0646.65068OpenAlexW2069726244MaRDI QIDQ3790570
Publication date: 1988
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/749bb339f03c6fe9f1d15b67b6546387097ca8da
uniform convergencedifference schemesasymptotic expansionssingularly perturbed boundary problemisolated turning point
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items
Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s), Trigonometric quinticB-spline collocation method for singularly perturbed turning point boundary value problems, A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers, Parameter uniform numerical method for singularly perturbed differential–difference equations with interior layers, On the optimally convergent splines difference scheme for one-dimensional reaction-diffusion problem, Finite element methods on piecewise equidistant meshes for interior turning point problems, Uniformly convergent NIPG method for singularly perturbed convection diffusion problem on Shishkin type meshes, The \(p\)-version of the finite element method for a singularly perturbed boundary value problem, Parameter uniform numerical method for third order singularly perturbed turning point problems exhibiting boundary layers, A brief survey on numerical methods for solving singularly perturbed problems, An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer, Numerical study of singularly perturbed differential-difference equation arising in the modeling of neuronal variability, Numerical analysis of singularly perturbed delay differential turning point problem, Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers., Interior Layers in Singularly Perturbed Problems, A review on singularly perturbed differential equations with turning points and interior layers, A second order uniform difference scheme for a singularly perturbed turning point problem, Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers, A coupling difference scheme for the numerical solution of a singular perturbation problem, Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers, An exponential method for a singular perturbation problem, Variable mesh spline approximation method for solving second order singularly perturbed turning point problems with Robin boundary conditions, Uniformly convergent finite difference methods for singularly perturbed problems with turning points, Initial-value technique for singularly-perturbed turning-point problems exhibiting twin boundary layers, Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point, A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers, ROBUST NUMERICAL METHOD FOR SINGULARLY PERTURBED TURNING POINT PROBLEMS WITH ROBIN TYPE BOUNDARY CONDITIONS
