-widths for singularly perturbed problems
-widths for singularly perturbed problems
Kolmogorov -widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the -widths of certain singularly perturbed convection-diffusion and reaction-diffusion boundary value problems.
Necessary and sufficient conditions for the convergence of approximate Picard's iterates for nonlinear boundary value problems
New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method.
Newton's Method with Mesh Refinements for Numerical Solution of Nonlinear Two-Point Boundary Value Problems.
Nichtäquidistante Diskretisierungen von Randwertaufgaben.
Nonlinear SPP with nonlocal boundary conditions and spectral approximation.
Numerical Computation of Branch Points in Ordinary Differential Equations.
Numerical experiments with different schemes for a singularly perturbed problem.
Numerical solution of boundary value problems by least squares
Numerical solution of boundary value problems for selfadjoint differential equations of th order
The paper is devoted to solving boundary value problems for self-adjoint linear differential equations of th order in the case that the corresponding differential operator is self-adjoint and positive semidefinite. The method proposed consists in transforming the original problem to solving several initial value problems for certain systems of first order ODEs. Even if this approach may be used for quite general linear boundary value problems, the new algorithms described here exploit the special...
Numerical solution of initial and singularly perturbed two-point boundary value problems using adaptive spline function approximation.
Numerische Behandlung von Verzweigungsproblemen bei gewöhnlichen Differentialgleichungen.