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Tables of Contents for Numerical Analysis and Its Applications
Chapter/Section Title
Page #
Page Count
The Newtonian Continuation Method for Numerical Study of 3D Polaron Problem
1
8
P. G. Akishin
I. V. Puzynin
Yu. S. Smirnov
CANM in Numerical Investigation of QCD Problems
9
8
I. V. Amirkhanov
I. V. Puzynin
T. P. Puzynina
T. A. Strizh
E. V. Zemlyanaya
Parallel Iterative Solvers for Banded Linear Systems
17
8
P. Amodio
F. Mazzia
Finite Element Approximations of Some Central Curves
25
9
A. B. Andreev
T. D. Todorov
Utilization of CANM for Magnetic Field Calculation
34
4
E. A. Ayrian
A. V. Fedorov
Numerical Algorithm for Simulation of Coupled Heat-Mass Transfer and Chemical Reaction in Two-Phase Steady Flow
38
8
I. B. Bazhlekov
M. G. Koleva
D. P. Vasileva
Basic Techniques for Numerical Linear Algebra on Bulk Synchronous Parallel Computers
46
12
R. H. Bisseling
Convergence of a Crank-Nicolson Difference Scheme for Heat Equations with Interface in the Heat Flow and Concentrated Heat Capacity
58
8
I. Braianov
Treatment of Large Air Pollution Models
66
12
J. Brandt
J. Christensen
I. Dimov
K. Georgiev
I. Uria
Z. Zlatev
Boundary Value Methods for the Numerical Approximation of Ordinary Differential Equations
78
12
L. Brugnano
Fast Algorithms for Problems on Thermal Tomography
90
8
R. H. Chan
C. Cheung
H. Sun
Convergence in Iterative Polynomial Root-Finding
98
8
T. C. Chen
Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems
106
8
C. Clavero
J. C. Jorge
F. Lisbona
G. I. Shishkin
High-Order Stiff ODE Solvers via Automatic Differentiation and Rational Prediction
114
12
G. F. Corliss
A. Griewank
P. Henneberger
G. Kirlinger
F. A. Potra
H. J. Stetter
The Use of Discrete Sine Transform in Computations with Toeplitz Matrices
126
8
F. Di Benedetto
A Finite State Stochastic Minimax Optimal Control Problem with Infinite Horizon
134
8
S. C. Di Marco
R. L. V. Gonzalez
Verified Solving of Linear Systems with Uncertainties in MAPLE
142
8
N. S. Dimitrova
C. P. Ullrich
Iterative Monte Carlo Algorithms for Linear Algebra Problems
150
11
I. T. Dimov
A. N. Karaivanova
Operator Problems in Strengthened Sobolev Spaces and Numerical Methods for Them
161
9
E. G. D'yakonov
Convex Combinations of Matrices-Nonsingularity and Schur Stability
170
6
L. Elsner
T. Szulc
Numerical Solution of a BVP in Hydrodynamics (Thermocapillary Convection)
176
8
S. S. Filippov
Y. V. Sanochkin
A. Y. Sogomonyan
A. V. Tygliyan
Componentwise Error Bounds and Direct Linear System Solving
184
8
B. Hormann
C. P. Ullrich
A Method for Solving the Spectral Problem for Complex Matrices
192
8
I. G. Ivanov
Interpolation Technique and Convergence Rate Estimates for Finite Difference Method
200
12
B. S. Jovanovic
Least Squares and Total Least Squares Methods in Image Restoration
212
8
J. Kamm
J. G. Nagy
Conforming Spectral Domain Decomposition Schemes
220
7
A. Karageorghis
Newton's Method for Solution of One Complex Eigenvalue Problem
227
9
M. Kaschiev
D. Koulova-Nenova
Calculation of Bifurcation States in the Circle Josefsson's Conversion
236
7
V. A. Kaschieva
Numerical Methods for Computation of the Double Layer Logarithmic Potential
243
7
N. Kolkovska
Numerical Analysis in Singularly Perturbed Boundary Value Problems Modelling Heat Transfer Processes
250
8
V. L. Kolmogorov
G. I. Shishkin
L. P. Shishkina
Improved Perturbation Bounds for the Matrix Exponential
258
8
M. Konstantinov
P. Petkov
P. Gancheva
V. Angelova
I. Popchev
Spectral Portrait of Matrices by Block Diagonalization
266
8
P. -F. Lavallee
A. Malyshev
M. Sadkane
Explicit Difference Schemes with Variable Time Steps for Solving Stiff Systems of Equations
274
10
V. I. Lebedev
Difference Schemes for the Darboux Problem with Functional Dependence
284
8
H. Leszczynski
Displacement Decomposition Circulant Preconditioners for Almost Incompressible 2D Elasticity Systems
292
8
I. Lirkov
S. Margenov
Numerical Solution of Differential Equations with Trigonometric Coefficients in Mathematical Models of Electric Motors
300
6
A. Marlewski
S. Rawicki
Stability of Difference Schemes with Variable Weights
306
13
P. P. Matus
Relative Precision in the Inductive Assertion Method
319
8
W. D. Maurer
Third Order Explicit Method for the Stiff Ordinary Differential Equations
327
8
A. A. Medovikov
Justification of Difference Schemes for Derivative Nonlinear Evolution Equations
335
6
T. Meskauskas
F. Ivanauskas
On the Growth Problem for D-Optimal Designs
341
8
M. Mitrouli
C. Koukouvinos
A Cray T3D Performance Study
349
8
A. Nallana
D. R. Kincaid
Using Dense Matrix Computations in the Solution of Sparse Problems
357
8
T. Ostromsky
Z. Zlatev
Integration of Some Constitutive Relations of Plain Strain Alastoplasticity Using Modified Runge-Kutta Methods
365
8
G. Papakaliatakis
T. E. Simos
High Performance Solution of Linear Systems Arising from Conforming Spectral Approximations for Non-Conforming Domain Decompositions
373
7
M. Paprzycki
A. Karageorghis
Stabilization and Experience with the Partitioning Method for Tridiagonal Systems
380
8
V. Pavlov
D. Todorova
Numerical Solution of High Order Matrix Riccati Equations
388
8
P. H. Petkov
N. D. Christov
M. M. Konstantinov
A Variational Parameters-to-Estimate-Free Nonlinear Solver
396
10
S. I. Petrova
P. S. Vassilevski
Computation Model for Internal Chemical-Reacting Flows Through Curved Channels
406
8
B. V. Rogov
I. A. Sokolova
Compactly Supported Fundamental Functions for Bivariate Hermite Spline Interpolation and Triangular Finite Elements of HCT Type
414
8
D. Barrera Rosillo
M. J. Ibanez Perez
A. Lopez Carmona
The Effectiveness of Band-Toeplitz Preconditioners: A Survey
422
8
S. Serra
Grid Approximations of the Solution and Diffusion Flux for Singularly Perturbed Equations with Neumann Boundary Conditions
430
12
G. I. Shishkin
Bessel and Neumann Fitted Methods for the Numerical Solution of the Schrodinger Equation
442
8
T. E. Simos
P. S. Williams
On the Data Re-Processing-Free Algorithm in the Initial State Estimation Problem for Parabolic Systems
450
8
I. Sivergina
Exploiting the Natural Partitioning in the Numerical Solution of ODE Systems Arising in Atmospheric Chemistry
458
8
S. Skelboe
Z. Zlatev
Existence and Stability of Traveling Discrete Shocks
466
8
Y. S. Smyrlis
S. H. Yu
Numerical Analysis of Density Dependence for Effective Transport Kinetic Diameter of Real Fluids
474
8
I. A. Sokolova
B. E. Lusternik
On a Feasible Descent Algorithm for Solving Min-Max Problems
482
8
A. Stachurski
Rate of Convergence of a Numerical Procedure for Impulsive Control Problems
490
8
M. Tidball
Coarse-Grain Parallelisation of Multi-Implicit Runge-Kutta Methods
498
7
R. Trobec
B. Orel
B. Slivnik
Mosaic Ranks and Skeletons
505
12
E. Tyrtyshnikov
Numerical Techniques for Solving Convection-Diffusion Problems
517
11
P. N. Vabishchevich
Explicit Fifth Order Runge-Kutta Methods with Five Stages for Quadratic ODEs
528
8
M. Van Daele
G. Vanden Berghe
H. De Meyer
P-stable Mono-Implicit Runge-Kutta-Nystrom Modifications of the Numerov Method
536
10
T. Van Hecke
M. Van Daele
G. Vanden Berghe
H. De Meyer
The V-ray Technology of Optimizing Programs to Parallel Computers
546
11
V. V. Voevodin
Vl. V. Voevodin
Applications of Steklov-Type Eigenvalue Problems to Convergence of Difference Schemes for Parabolic and Hyperbolic Equations with Dynamical Boundary Conditions
557
8
L. G. Vulkov
Two-Step P-stable Methods with Phase-Lag of Order Infinity for the Numerical Solution of Special Second Order Initial Value Problems
565
8
P. S. Williams
T. E. Simos
Notes on the Classification of Numerical Algorithms with Respect to Their Stability to Roundoff Errors
573
8
P. Y. Yalamov
New IMGS-based Preconditioners for Least Squares Problems
581
8
T. Yang
Numerical Algorithm for Studying Heat-Transfer in a Glass Melting Furnace
589
7
I. Zheleva
V. Kambourova
P. Dimitrov
R. Rusev
Identification of the Heat-Transfer in a Glass Melting Furnace
596
11
I. Zheleva
V. Kambourova
P. Dimitrov
R. Rusev
Author Index
607
 
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