A Class of Simple Exponential B-Splines and Their Application to Numerical Solution to Singular Perturbation Problems.
A comparison of four- and five-point difference approximations for stabilizing the one-dimensional stationary convection-diffusion equation.
A conterexample in the theory of linear singularly perturbed systems
A Finite Element Method for a Singularly Perturbed Boundary Value Problem.
A first order accuracy scheme on non-uniform mesh.
A method of discretization for the Lagerström-Cole model equation.
A modified regularization method.
A necessary condition for twin boundary layer behavior
A numerical method for a singularly perturbed three-point boundary value problem.
A Petrov-Galerkin approximation of convection-diffusion and reaction-diffusion problems
A general construction of test functions in the Petrov-Galerkin method is described. Using this construction; algorithms for an approximate solution of the Dirichlet problem for the differential equation are presented and analyzed theoretically. The positive number is supposed to be much less than the discretization step and the values of . An algorithm for the corresponding two-dimensional problem is also suggested and results of numerical tests are introduced.
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations.
A singular perturbation method for saddle connections and subharmonics of certain nonlinear differential equations with fixed saddle points.
Saddle connections and subharmonics are investigated for a class of forced second order differential equations which have a fixed saddle point. In these equations, which have linear damping and a nonlinear restoring term, the amplitude of the forcing term depends on displacement in the system. Saddle connections are significant in nonlinear systems since their appearance signals a homoclinic bifurcation. The approach uses a singular perturbation method which has a fairly broad application to saddle...
A Two Point Boundary Value Problem with a Rapidly Oscillating Solution.
A Uniform Scheme for the Singularly Perturbed Riccati Equation.
A Uniformly Convergent Difference Scheme for a Semilinear Singular Perturbation Problem.
A uniformly convergent quadratic spline difference scheme for singular perturbation problems
An Analysis and Improvement of the El~mistikawy and Werle Scheme
An Improved Boundary Layer Estimate for a Singularly Perturbed Initial Value Problem.
An ODE-Solver Based on the Method of Averaging.
Analytical approximation to solutions of singularly perturbed boundary value problems.