Numerical Analysis and Its Applications

The Newtonian continuation method for numerical study of 3D polaron problem.- CANM in numerical investigation of QCD problems.- Parallel iterative solvers for banded linear systems.- Finite element approximations of some central curves.- Utilization of CANM for magnetic field calculation.- Numerical algorithm for simulation of coupled heat-mass transfer and chemical reaction in two-phase steady flow.- Basic techniques for numerical linear algebra on bulk synchronous parallel computers.- Convergence of a Crank-Nicolson difference scheme for heat equations with interface in the heat flow and concentrated heat capacity.- Treatment of large air pollution models.- Boundary Value Methods for the numerical approximation of ordinary differential equations.- Fast algorithms for problems on thermal tomography.- Convergence in iterative polynomial root-finding.- Splitting time methods and one dimensional special meshes for reaction-diffusion parabolic problems.- High-order stiff ODE solvers via automatic differentiation and rational prediction.- The use of discrete sine transform in computations with Toeplitz matrices.- A finite state stochastic minimax optimal control problem with infinite horizon.- Verified solving of linear systems with uncertainties in Maple.- Iterative Monte Carlo algorithms for linear algebra problems.- Operator problems in strengthened Sobolev spaces and numerical methods for them.- Convex combinations of matrices - Nonsingularity and Schur stability.- Numerical solution of a BVP in hydrodynamics (thermocapillary convection).- Componentwise error bounds and direct linear system solving.- A method for solving the spectral problem for complex matrices.- Interpolation technique and convergence rate estimates for finite difference method.- Least squares andtotal least squares methods in image restoration.- Conforming spectral domain decomposition schemes.- Newton's method for solution of one complex eigenvalue problem.- Calculation of bifurcation states in the circle Josefsson's conversion.- Numerical methods for computation of the double layer logarithmic potential.- Numerical analysis in singularly perturbed boundary value problems modelling heat transfer processes.- Improved perturbation bounds for the matrix exponential.- Spectral portrait of matrices by block diagonalization.- Explicit difference schemes with variable time steps for solving stiff systems of equations.- Difference schemes for the Darboux problem with functional dependence.- Displacement decomposition circulant preconditioners for almost incompressible 2D elasticity systems.- Numerical solution of differential equations with trigonometric coefficients in mathematical models of electric motors.- Stability of difference schemes with variable weights.- Relative precision in the inductive assertion method.- Third order explicit method for the stiff ordinary differential equations.- Justification of difference schemes for derivative nonlinear evolution equations.- On the growth problem for D-optimal designs.- A Cray T3D performance study.- Using dense matrix computations in the solution of sparse problems.- Integration of some constitutive relations of plain strain elastoplasticity using modified Runge-Kutta methods.- High performance solution of linear systems arising from conforming spectral approximations for non-conforming domain decompositions.- Stabilization and experience with the partitioning method for tridiagonal systems.- Numerical solution of high order matrix Riccati equations.- A variational parameters-to-estimate-free nonlinear solver.- Computation model for internal chemical-reacting flows through curved channels.- Compactly supported fundamental functions for bivariate hermite spline interpolation and triangular finite elements of HCT type.- The effectiveness of band-Toeplitz preconditioners: A survey.- Grid approximations of the solution and diffusion flux for singularly perturbed equations with Neumann boundary conditions.- Bessel and Neumann fitted methods for the numerical solution of the Schrödinger equation.- On the data re-processing-free algorithm in the initial state estimation problem for parabolic systems.- Exploiting the natural partitioning in the numerical solution of ODE systems arising in atmospheric chemistry.- Existence and stability of traveling discrete shocks.- Numerical analysis of density dependence for effective transport kinetic diameter of real fluids.- On a feasible descent algorithm for solving min-max problems.- Rate of convergence of a numerical procedure for impulsive control problems.- Coarse-grain parallelisation of multi-implicit Runge-Kutta methods.- Mosaic ranks and skeletons.- Numerical techniques for solving convection-diffusion problems.- Explicit fifth order Runge-Kutta methods with five stages for quadratic ODEs.- P-stable mono-implicit Runge-Kutta-Nyström modifications of the Numerov method.- The V-Ray technology of optimizing programs to parallel computers.- Applications of Steklov-type eigenvalue problems to convergence of difference schemes for parabolic and hyperbolic equations with dynamical boundary conditions.- Two-step P-stable methods with phase-lag of order infinity for the numerical solution of special second order initial value problems.- Notes on the classification of numerical algorithms with respect to their stability to roundoff errors.- NewIMGS-based preconditioners for least squares problems.- Numerical algorithm for studying heat transfer in a glass melting furnace.- Identification of the heat-transfer in a glass melting furnace.