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Drmac Z. (ed.), Tutek Z. (ed.), Marusic M. (ed.) — Proceedings of the Conference on Applied Mathematics and Scientific Computing
Drmac Z. (ed.), Tutek Z. (ed.), Marusic M. (ed.) — Proceedings of the Conference on Applied Mathematics and Scientific Computing

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Название: Proceedings of the Conference on Applied Mathematics and Scientific Computing

Авторы: Drmac Z. (ed.), Tutek Z. (ed.), Marusic M. (ed.)

Аннотация:

This book brings together contributed papers presenting new results covering different areas of applied mathematics and scientific computing. Firstly, four invited lectures give state-of-the-art presentations in the fields of numerical linear algebra, shape preserving approximation and singular perturbation theory. Then an overview of numerical solutions to skew-Hamiltonian and Hamiltonian eigenvalue problems in system and control theory is given by Benner, Kressner and Mehrmann. The important issue of structure preserving algorithms and structured condition numbers is discussed.
Costantini and Sampoli review the basic ideas of the abstract schemes and show that they can be used to solve any problem concerning the construction of spline curves subject to local constraints. Kvasov presents a novel approach in solving the problem of shape preserving spline interpolation. Formulating this problem as a differential multipoint boundary value problem for hyperbolic and biharmonic tension splines he considers its finite difference approximation. Miller and Shishkin consider the Black-Scholes equation that, for some values of the parameters, may be a singularly perturbed problem. They construct a new numerical method, on an appropriately fitted piecewise-uniform mesh, which is parameter-uniformly convergent.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 345

Добавлена в каталог: 08.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$H_{\infty}$ norm      31
$\varepsilon$-uniformly convergence      131
Abstract scheme      41
Admissible domain      41
Algebraic Riccati equation      32
Analytical continuity      52
Approximation of solution      263
B-spline      151
Backward stability      143
Balance law      171
Bezier control point      57
Bidiagonal form      141
Biharmonic spline      77
Biharmonic tension spline      67
Bivariate spline space      207
Black Scholes      95
Blossoming approach      207
Burgers equation      329
CAGD      41
Canonical complete Chebyshev (CCC)–system      151
Central scheme      171
Characteristic function      122
Chebyshev spline      273
Chebyshev system      151 273
Collocation method      131
Complete approximation      83
Conductivity coefficient      122
Conductivity problem      122
Consistency      197
Constrained curve      41
Convergence      197 253
Counter flow exchange      235
de Boor algorithm      151
Decision space      49
Delete state      188
density      109
Derivative formula      273
Differential multipoint boundary value problem      67
DIMENSION      207
Dirichlet boundary condition      131
Discrete curvature      58
Discretization      198
Divided difference      273
Duality      109
ECC-system      273
EDGE      207
Elasticity      305
End condition      68
Error analysis      141
Euler approximation      200
Exact C-property      171
Existence problem      217
Expectation maximization      187
Explicit Hamiltonian QR algorithm      23
Extended partition      157
Fairness      41
Fairness functional      55
Finite-difference approximation      68
Finite-difference method      161
Finite-difference scheme in fractional steps      67
Fre?chet space      112
Gaussian distributed random variable      200
Generalized derivative      152 273
Geometric continuity      52
Geometric interpolation      42 60 245
Hamiltonian      317
Hamiltonian eigenvalue problem      3
Hamiltonian matrix      3
Hidden Markov model      187
Homogenisation      121
Hot water circulation      235
HRA property      143
Hubbert function      217
Hyperbolic balance law      294 329
Hyperbolic spline      68
Hyperbolic tension spline      67
Imbeddings      109
Initial-boundary value problem      253
Insert state      188
Integrated density of state      317
Integro-differential equation      235
Interpolation condition      68
Inverse problem      161
Knot insertion      151
Leaf spring      305
Least squares problem      148
Lebesgue space      109
Linear acoustics      329
Linear continuous-time system      30
Local error      197
Locally Sobolev function      109
Logistic function      217
Match state      188
Matrix, feedthrough      30
Matrix, input      30
Matrix, output      30
Matrix, state      30
Measurable matrix function      122
Mesh solution      69
Micropolar fluid      253
Multiple alignment      187
Multivariate constrained problem      50
Noise injection      190
Nonlinear least squares      217
NT scheme      171
Numerical method      197
Numerical scheme      330
Numerical simulation      293
Oil well      235
One–sided bidiagonalization algorithm      141
Open channel flow      294
Optimal design      121
Optimal solution      48
Order of accuracy      329
Oslo algorithm      151
Parabolic equation      161
Parallel computing      141
Parallel heat flow exchange      235
Parameter class of solutions      263
Parameter estimation (PE) problem      217
Parameter-uniform convergence      96
Parametric curve      50 245
Partial differential equation      109
Perturbation      283
Piecewise curve      41
Pleasant curve      55
Porcupine plot      56
Protein sequence      188
PVL decomposition      8
Q-scheme      294
Quadratic eigenvalue problem      33
Qualitative analysis of differential equation      263
Quasilinear differential equation      263
Random graph      317
Random Schrodinger operator      317
Rank stability      283
Rank stable      283
Reflexivity      109
Relative perturbation      283
Robust numerical method      95
Rod model      305
Set valued map      45
Shallow water      294 329
Shallow water equation      171
Shape preserving interpolation      41 67
Shape preserving interpolation problem      77
Simulated annealing      187
Singular perturbation      95
Singular value decomposition      141
Singularly perturbed parabolic equation      131
Site percolation      317
Skew-Hamiltonian matrix      3
Skew-Hamiltonian Schur decomposition      10
Source term      329
Space data      245
Spatially varying flux      329
SPLINE      41
Splitting scheme      82
Stability radius      31
Stabilization      253
Stationary diffusion      121
Stiffness coefficient      305
Stochastic ordinary differential equation      197
Strong convergence      199
Strong solution      253
Strongly backward stable      4
Strongly consistent      199
Structure-preserving algorithm      3
Structured condition number      3
Structured decomposition      8
Suboptimal alignment      187 191
Successive over-relaxation method      67
Symmetric definite eigenvalue problem      147
Symplectic QR decomposition      17
Symplectic URV decomposition      27
Tension parameter      64 68
Tension spline      67
Time dependent reaction-diffusion problem      131
Topological retraction      263
Total least squares      217
Triangulation      207
Univariate problem      50
Unknown source parameter      161
Upper semi continuous      46
Upwind piecewise-uniform fitted mesh method      101
Upwind uniform mesh method      99
Vanishing singular value      284
Vertex      208
Volterra integral equation      235
Weak topology      109
Weighted spline      151
Well-balanced scheme      294
WENO scheme      329
Wetting and drying problem      294
Zero pattern      283
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