On mixed finite element techniques for elliptic problems.
On Monotone Abel-Volterra Integral Equations on the Half Line.
On monotone and Schwarz alternating methods for nonlinear elliptic PDEs
The Schwarz alternating method can be used to solve elliptic boundary value problems on domains which consist of two or more overlapping subdomains. The solution is approximated by an infinite sequence of functions which results from solving a sequence of elliptic boundary value problems in each of the subdomains. In this paper, proofs of convergence of some Schwarz alternating methods for nonlinear elliptic problems which are known to have solutions by the monotone method (also known as the method...
On Monotone and Schwarz Alternating Methods for Nonlinear Elliptic PDEs
The Schwarz alternating method can be used to solve elliptic boundary value problems on domains which consist of two or more overlapping subdomains. The solution is approximated by an infinite sequence of functions which results from solving a sequence of elliptic boundary value problems in each of the subdomains. In this paper, proofs of convergence of some Schwarz alternating methods for nonlinear elliptic problems which are known to have solutions by the monotone method (also known as the method...
On monotone difference schemes for weakly coupled systems of partial differential equations
On monotone extensions of boundary data.
On Morozov's method for Tikhonov regularization as an optimal order yielding algorithm.
On multigrid for linear complementarity problems with application to American-style options.
On Multi-Grid Methods for Variational Inequalities.
On Multilevel Iterative Methods for Integral Equations of the Second Kind and Related Problems.
On multi-parameter error expansions in finite difference methods for linear Dirichlet problems
The paper is concerned with the finite difference approximation of the Dirichlet problem for a second order elliptic partial differential equation in an -dimensional domain. Considering the simplest finite difference scheme and assuming a sufficient smoothness of the domain, coefficients of the equation, right-hand part, and boundary condition, the author develops a general error expansion formula in which the mesh sizes of an (-dimensional) rectangular grid in the directions of the individual...
On multipoint boundary value problems for systems of functional-differential and difference equations.
On multipoint constraints in FETI methods
FETI (finite element tearing and interconnecting) based domain decomposition methods are well-established massively parallel methods for solving huge linear systems arising from discretizing partial differential equations. The first steps of FETI decompose the domain into nonoverlapping subdomains, discretize the subdomains using matching grids, and interconnect the adjacent variables by multipoint constraints. However, the multipoint constraints enforcing identification of the corners' variables...
On multipoint iterative processes of efficiency index higher than Newton's method.
On multiresolution methods in numerical analysis.
On multiscale denoising of spherical functions: basic theory and numerical aspects.
On multivariate Descartes' rule – a counterexample.
On Neighbouring Matrices with Quadratic Elementary Divisors.
On Newton-Like Methods.
On Newton-like methods to enclose solutions of nonlinear equations
We present a class of Newton-like methods to enclose solutions of systems of nonlinear equations. Theorems are derived concerning the feasibility of the method, its global convergence, its speed and the quality of enclosure.