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...
Sparse Null Basis Computations in Structural Optimization.
Special Similarity Transformations in Connection with the Quadrant Interlocking Factorisation Techniques
Spectral analysis in connection with iterative solution of convection-diffusion equation.
Spectral approximation of multiplication operators.
Spectral discretization of Darcy equations coupled with Navier-Stokes equations by vorticity-velocity-pressure formulation
We consider a model coupling the Darcy equations in a porous medium with the Navier-Stokes equations in the cracks, for which the coupling is provided by the pressure's continuity on the interface. We discretize the coupled problem by the spectral element method combined with a nonoverlapping domain decomposition method. We prove the existence of solution for the discrete problem and establish an error estimation. We conclude with some numerical tests confirming the results of our analysis.
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.
Splitting Certain Eigenvalue Eigenvector Problems.
Spolehlivost numerických výpočtů
Stabilité d'un algorithme de recherche de valeur propre de problème généralisé
Stabilité numérique de l'algorithme de Levinson
Stability and sensivity of Darboux transformation without parameter.
Stability of Fast Algorithms for Matrix Multiplication.
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.
Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting
In this work we derive a pair of nonlinear eigenvalue problems corresponding to the one-band effective Hamiltonian accounting for the spin-orbit interaction governing the electronic states of a quantum dot. We show that the pair of nonlinear problems allows for the minmax characterization of its eigenvalues under certain conditions which are satisfied for our example of a cylindrical quantum dot and the common InAs/GaAs heterojunction. Exploiting the minmax property we devise an efficient iterative...
Statistical applications for equivariant matrices.