The direct dynamical problem of seismics for horizontally stratified media.
The extended Adomian decomposition method for fourth order boundary value problems.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part III. The Adaptive h-p Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part I. The Error Analysis of the p-Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part II. The Error Analysis of the h- and h-p Versions.
The mesh chopping algorithm for singularly perturbed boundary value problem.
The Method of Iterated Defect-Correction and Its Application to Two-Point Boundary Value Problems. Part II.
The Method of Iterated Defect-Correction and its Application to Two-Point Boundary Value Problems. Part I.
The method of normal splines for linear implicit differential equations of second order.
The Numerical Computation of Compressed States of Nonlinearly Elastic Anisotropic Plates.
The Numerical Solution of Boundary Value Problems for Second Order Functional Differential Equations by Finite Differences.
The numerical solution of boundary-value problems for differential equations with state dependent deviating arguments
A numerical method for the solution of a second order boundary value problem for differential equation with state dependent deviating argument is studied. Second-order convergence is established and a theorem about the asymptotic expansion of global discretization error is given. This theorem makes it possible to improve the accuracy of the numerical solution by using Richardson extrapolation which results in a convergent method of order three. This is in contrast to boundary value problems for...
The Numerical Solution Of Elliptic Partial Differential Equations By The Method Of Lines.
The RCWA method - A case study with open questions and perspectives of algebraic computations.
The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE.
The shooting method and nonhomogeneous multipoint bvps of second-order ODE.
The spectral approximation for the shock layer problems.
The structure of spline collocation matrix for singularly perturbation problems with two small parameters.
Transfer of boundary conditions for Poisson's equation on a circle
The method of transfer of boundary conditions yields a universal frame into which most methods for solving boundary value problems for ordinary differential equations can be included. The purpose of this paper is to show a possibility to extend the idea of transfer of conditions to a particular twodimensional problem.
Transfer of conditions for singular boundary value problems
Numerical solution of linear boundary value problems for ordinary differential equations by the method of transfer of conditions consists in replacing the problem under consideration by a sequence of initial value problems. The method of transfer for systems of equations of the first order with Lebesque integrable coefficients was studied by one of the authors before. The purpose of this paper is to extend the idea of the transfer of conditions to singular boundary value problems for a linear second-order...