Scalable algebraic multigrid on 3500 processors.
Schwarz alternating and iterative refinemnt methods for mixed formulations of elliptic problems, part I: algorithms and numerical results.
Schwarz alternating and iterative refinemnt methods for mixed formulations of elliptic problems, part II: convergence theory.
Schwarz methods over the course of time.
Schwarz-like methods for approximate solving cooperative systems
The aim of this contribution is to propose and analyze some computational means to approximate solving mathematical problems appearing in some recent studies devoted to biological and chemical networks.
Semicoarsening multigrid for systems.
Semi-convergence and relaxation parameters for a class of SIRT algorithms.
Simple square smoothing regularization operators.
Simpler block GMRES for nonsymmetric systems with multiple right-hand sides.
Solution of system of linear equations with large coefficients in the diagonal
Solving systems of two–sided (max, min)–linear equations
A finite iteration method for solving systems of (max, min)-linear equations is presented. The systems have variables on both sides of the equations. The algorithm has polynomial complexity and may be extended to wider classes of equations with a similar structure.
Some algebraic aspects of multigrid methods
Some comparison theorems for nonnegative splittings of matrices.
Some comparisons of difference schemes on meshes of Shishkin and Bakhvalov type.
Some Generalisations of the Theory of Successive Over-Relaxation.
Some iterative Poisson solvers applied to numerical solution of the model fourth-order elliptic problem
The numerical solution of the model fourth-order elliptic boundary value problem in two dimensions is presented. The iterative procedure in which the biharmonic operator is splitted into two Laplace operators is used. After formulating the finite-difference approximation of the procedure, a formula for the evaluation of the transformed iteration vectors is developed. The Jacobi semi-iterative, Richardson and A.D.I. iterative Poisson solvers are applied to compute one transformed iteration vector....
Some New Results on Unsymmetric Successive Overrelaxation Method.
Some -norm convergence results for Jacobi and Gauss-Seidel iterations.
Some remarks on iterative methods for systems of linear equations
Some remarks on the restarted and augmented GMRES method.