Numerical Analysis and Its Applications Book

	Uniform convergence of a Monotone iterative method for a nonlinear reaction-diffusion problem	1
	The dynamics of matrix coupling with an application to Krylov methods	14
	High precision method for calculating the energy values of the hydrogen atom in a strong magnetic field	25
	Splitting methods and their application to the abstract Cauchy problems	35
	Finite difference approximation of an elliptic interface problem with variable coefficients	46
	The finite element method for the Navier-Stokes equations for a viscous heat conducting gas	56
	Augmented strategies for interface and irregular domain problems	66
	Accuracy estimates of difference schemes for quasi-linear elliptic equations with variable coefficients taking into account boundary effect	80
	Nodal two-dimensional solitons in nonlinear parametric resonance	91
	Supercloseness between the elliptic projection and the approximate eigenfunction and its application to a postprocessing of finite element eigenvalue problems	100
	One-dimensional patch-recovery finite element method for fourth-order elliptic problems	108
	Modelling of the elastic line for twist drill with straight shank fixed in three-jaw chuck	116
	On the solvability of the steady-state rolling problem	125
	A quasi-Monte Carlo method for an elastic electron back-scattering problem	133
	Numerical treatment of fourth order singularly perturbed boundary value problems	141
	Selection strategies for set-valued Runge-Kutta methods	149
	Numerical methods for the Landau-Lifshitz-Gilbert equation	158
	The continuous analog of Newton method for nonlinear data approximation	166
	Prestressed modal analysis using finite element package ANSYS	171
	Computer realization of the operator method for solving of differential equations	179
	The strong stability of the second-order operator-differential equations	187
	Semi-Lagrangian semi-implicit time splitting two time level scheme for hydrostatic atmospheric model	195
	The strengthened Cauchy-Bunyakowski-Schwarz inequality for n-simplicial linear finite elements	203
	Uniformly convergent difference scheme for a singularly perturbed problem of mixed parabolic-elliptic type	211
	The numerical solution for system of singular integro-differential equations by Faber-Laurent polynomials	219
	An adaptive-grid least squares finite element solution for flow in layered soils	224
	New perturbation bounds for the continuous-time h[subscript [infinity]]-optimization problem	232
	Progressively refining discrete gradient projection method for semilinear parabolic optimal control problems	240
	Identification of a nonlinear damping function in a thermoelastic system	249
	A Monte Carlo approach for the Cook-Torrance model	257
	Generic properties of differential inclusions and control problems	266
	3D modelling of diode laser active cavity	272
	Ant colony optimization for multiple knapsack problem and model bias	280
	Discretization methods with embedded analytical solutions for convection dominated transport in porous media	288
	Order reduction of multi-scale differential inclusions	296
	Computing eigenvalues of the discretized Navier-Stokes model by the generalized Jacobi-Davidson method	304
	Variational approach for restoring random-valued impulse noise	312
	Adaptive filters viewed as iterative linear equation solvers	320
	A Rothe-immersed interface method for a class of parabolic interface problems	328
	Volterra series and numerical approximations of ODEs	337
	A property of Farey tree	345
	Comparison of a Rothe-two Grig method and other numerical schemes for solving semilinear parabolic equations	352
	An economic method for evaluation of volume integrals	360
	Sensitivity analysis of generalized Lyapunov equations	368
	An algorithm to find values of minors of skew Hadamard and conference matrices	375
	Parallel performance of a 3D elliptic solver	383
	Generalized Rayleigh quotient shift strategy in QR algorithm for eigenvalue problems	391
	Parameter estimation of Si diffusion in Fe substrates after hot dipping and diffusion annealing	399
	Numerical design of optimal active control for seismically-excited building structures	408
	Computing transitive closure problem on linear systolic array	416
	A method which finds the maxima and minima of a multivariable function applying affine arithmetic	424
	On analytic iterative functions for solving nonlinear equations and systems of equations	432
	Parallel implementation and one year experiments with the Danish Eulerian model	440
	Conditioning and error estimation in the numerical solution of matrix Riccati equations	448
	Numerical modelling of the one-phase Stefan problem by finite volume method	456
	Adaptive conjugate smoothing of discontinuous fields	463
	Finite differences scheme for the Euler system of equations in a class of discontinuous functions	471
	The [lambda]-error order in multivariate interpolation	478
	Computational aspects in spaces of bivariate polynomial of w-degree n	486
	Restarted GMRES with inexact matrix-vector products	494
	Applications of Price functions and Haar type functions to the numerical integration	503
	Numerical modelling of the free film dynamics and heat transfer under the van der Waals forces action	511
	Two resultant based methods computing the greatest common divisor of two polynomials	519
	Conservative difference scheme for summary frequency generation of femtosecond pulse	527
	Comparison of some difference schemes for problem of femtosecond pulse interaction with semiconductor in the case of nonlinear mobility coefficient	535
	Soliton-like regime of femtosecond laser pulse propogation in bulk media under the conditions of SHG	543
	Computational method for finding of soliton solutions of nonlinear Shrodinger equation	551
	Convergence analysis for eigenvalue approximations on triangular finite element meshes	558
	Performance optimization and evaluation for linear codes	566
	Modeling and simulating waves in anisotropic elastic solids	574
	Numerical method for a chemical nonlinear reaction boundary value problem	583
	Parametrically driven dark solitons : a numerical study	590
	Numerical investigation of the viscous flow in a bioreactor with a mixer	598
	Stability analysis of a nonlinear model of wastewater treatment processes	606
	Numerical search for the states with minimal dispersion in quantum mechanics with non-negative quantum distribution function	613
	About the iteration method for solving difference equations	621