Some results on matrices of class and their application to the convergence rate of iteration procedures
Some theoretical results derived from polynomial numerical hulls of Jordan blocks.
Sparse finite element methods for operator equations with stochastic data
Let be a strongly elliptic operator on a -dimensional manifold (polyhedra or boundaries of polyhedra are also allowed). An operator equation with stochastic data is considered. The goal of the computation is the mean field and higher moments , , , of the solution. We discretize the mean field problem using a FEM with hierarchical basis and degrees of freedom. We present a Monte-Carlo algorithm and a deterministic algorithm for the approximation of the moment for . The key tool...
Spectral analysis in connection with iterative solution of convection-diffusion equation.
Spectral methods for singular perturbation problems
We study spectral discretizations for singular perturbation problems. A special technique of stabilization for the spectral method is proposed. Boundary layer problems are accurately solved by a domain decomposition method. An effective iterative method for the solution of spectral systems is proposed. Suitable components for a multigrid method are presented.
Spectral Methods with Sparse Matrices.
Spolehlivost numerických výpočtů
Stability of the Solutions of Linear Least Squares Problems.
Stable matrices, the Cayley transform, and convergent matrices.
Stationary and Almost Stationary Iterative (k, l)-Step Methods for Linear and Nonlinear Systems of Equations.
Steplength optimization and linear multigrid methods.
Strang-type preconditioners for solving systems of ODEs by boundary value methods.
Strong Underrelaxation in Kaczmarz's Method for Inconsistent Systems
Strong Uniqueness. A Far-Reaching Criterion for the Convergence Analysis of Iterative Procedures.
Subdirect sums of doubly diagonally dominant matrices.
Subdirect sums of -strictly diagonally dominant matrices.
Superlinear CG convergence for special right-hand sides.
Sweeping preconditioners for elastic wave propagation with spectral element methods
We present a parallel preconditioning method for the iterative solution of the time-harmonic elastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In particular, the method leverages perfectly matched layer boundary conditions to efficiently approximate the Schur complement matrices of a block LDLT factorization. Both sequential and parallel versions of the algorithm are discussed and results for large-scale problems from exploration geophysics are presented....