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.
Steplength optimization and linear multigrid methods.
Stochastic Arithmetic Theory and Experiments
Stochastic arithmetic has been developed as a model for exact computing with imprecise data. Stochastic arithmetic provides confidence intervals for the numerical results and can be implemented in any existing numerical software by redefining types of the variables and overloading the operators on them. Here some properties of stochastic arithmetic are further investigated and applied to the computation of inner products and the solution to linear systems. Several numerical experiments are performed showing...
Strang-type preconditioners for solving systems of ODEs by boundary value methods.
Strict Chebyshev Approximation for General Systems of Linear Equations.
Strong rank revealing Cholesky factorization.