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...
Über die Koerzitivität gewöhnlicher Differenzenoperatoren und die Konvergenz von Mehrschrittverfahren.
Uniform Fourth Order Difference Scheme for a Singular Perturbation Problem.
Uniform methods for semilinear problems with an attractive boundary turning point.
Uniform second-order difference method for a singularly perturbed three-point boundary value problem.
Uniformly convergent difference scheme for singularly perturbed problem of mixed type.
Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms
The paper deals with uniformly enclosing discretization methods of the first order for semilinear boundary value problems. Some fundamental properties of this discretization technique (the enclosing property, convergence, the inverse-monotonicity) are proved. A feedback grid generation principle using information from the lower and upper solutions is presented.
Uniformly enclosing discretization methods for semilinear boundary value problems
Upper and Lower Bounds for Solutions of Generalized Two-Point Boundary Value Problems.
Variational iteration decomposition method for solving eighth-order boundary value problems.
Variational iteration method for fifth-order boundary value problems using He's polynomials.
Zur Stabilität von Differenzenverfahren für Systeme linearer gewöhnlicher Randwertaufgaben.
Вариационно-сеточная аппроксимация
Двухслойные разностные схемы для решения многоточечных задач