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1.

電子ジャーナル

EJ
出版情報: IEEE CONF , Los Alamitos, Calif. : IEEE Computer Society Press
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2.

電子ジャーナル

EJ
出版情報: ACM Digital Library , [New York, N.Y.] : The Association for Computing Machinery
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3.

電子ジャーナル

EJ
出版情報: ACM Digital Library , UNITED STATES : Association for Computing Machinery, Inc.
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4.

電子ジャーナル

EJ
出版情報: ACM Digital Library , UNITED STATES : Association for Computing Machinery, Inc.
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5.

電子ジャーナル

EJ
出版情報: ACM Digital Library , Los Alamitos, Calif. : IEEE Computer Society Press
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6.

電子ジャーナル

EJ
出版情報: ACM Digital Library , New York, N.Y. : ACM Press
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7.

電子ジャーナル

EJ
出版情報: ACM Digital Library , New York, N.Y. : ACM Special Interest Group on Simulation
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8.

電子ジャーナル

EJ
出版情報: IEEE/IET Electronic Library (IEL) Conference Proceedings , Los Alamitos, Calif. : IEEE Computer Society Press
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9.

電子ブック

EB
Barry R. Clarke
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 1994
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目次情報: 続きを見る
A history of recreational mathematics
Popular Puzzles: Wong sum / Part I:
Strange street
HarveyÆs wall climber
Word bandit 1
Prime of life
The horse and the hurdle
Cornflakes and porridge
Railway rhyme
Safe conduct
The doubtful die
Word bandit 2
Middle market
Fractionally mean
Domino chain
Signs of confusion
Room for assistance
King-size conundrum
Word bandit 3
The six sheep pens
Find the burglars
The enigmatic interview
Sorry Dad
Save the city
Crumple towers
Word bandit 4
Romance on the stone
Quite a card
The three piles of coins
Cubic incapacity
Extra sensory deception
True to the tribe
Word bandit 5
The stuff of dreams
Counting sheep
The reclusive inventor
Advanced Puzzles: The engineerÆs dilemma / Part II:
Lost in space
A tall story
The mathematical garden
Round the clock
Pet hate
Sum secret
Selfish sons
The three bears
Cryptic cave lines
The three prisoners
Taking a bath
The balanced bridge
Elixir of life
The great escape
Logical legacy
Wire wizards
The broken pentomino
One for the road
In the same boat
Hints
Solutions
References
A history of recreational mathematics
Popular Puzzles: Wong sum / Part I:
Strange street
10.

電子ブック

EB
Ke Chen
出版情報: Cambridge University Press Online Books , Cambridge : Cambridge University Press, 2005
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目次情報: 続きを見る
Preface
Introduction / 1:
Nomenclature
Direct methods / 2:
Iterative methods / 3:
Matrix splitting preconditioners [t1] / 1.1:
Direct and iterative solvers, types of preconditioning
Approxi, ate inverse preconditioners [t2] / 5:
Norms and condition number / 6:
Multilevel methods and preconditioners [t3]
Multilevel recursive Schur complements preconditioners / 1.3:
Perturbation theories for linear systems and eigenvalues
Wavelet preconditioners [t5] for ËåA n x n and ËåA -1 n x n / 8:
The Arnoldi iterations and decomposition / 9:
Wavelet Schur preconditioners [t6]
Implicit wavelet preconditioners [t7] / 1.5:
Clustering characterization, field of values and [set membership]-pseudospectrum
Application I - acoustic scattering modelling / 11:
Fast Fourier transforms and fast wavelet transforms / 12:
Application II - coupled matrix problems
Application III - image restoration and inverse problems / 1.7:
Numerical solution techniques for practical equations
Application IV-voltage stability in electrical power systems / 14:
Common theories on preconditioned systems / 15:
Parallel computing by examples
Guide to software development and the supplied Mfiles / 1.9:
The LU decomposition and variants / 2.1:
The Newton-Schulz-Hotelling method / 2.2:
The Gauss-Jordan decomposition and variants / 2.3:
The QR decomposition / 2.4:
Special matrices and their direct inversion / 2.5:
Ordering algorithms for better sparsity / 2.6:
Discussion of software and the supplied Mfiles / 2.7:
Solution complexity and expectations / 3.1:
Introduction to residual correction / 3.2:
Classical iterative methods / 3.3:
The conjugate gradient method: the SPD case / 3.4:
The conjugate gradient normal method: the unsymmetric case / 3.5:
The generalized minimal residual method: GMRES / 3.6:
The GMRES algorithm in complex arithmetic / 3.7:
Matrix free iterative solvers: the fast multipole methods / 3.8:
Matrix splitting preconditioners [T1]: direct approximation of A[subscript n x n] / 3.9:
Banded preconditioner / 4.1:
Banded arrow preconditioner / 4.2:
Block arrow preconditioner from DDM ordering / 4.3:
Triangular preconditioners / 4.4:
ILU preconditioners / 4.5:
Fast circulant preconditioners / 4.6:
Singular operator splitting preconditioners / 4.7:
Preconditioning the fast multipole method / 4.8:
Numerical experiments / 4.9:
Approximate inverse preconditioners [T2]: direct approximation of [characters not reproducible] / 4.10:
How to characterize A[superscript -1] in terms of A / 5.1:
Polynomial preconditioner p[subscript k](A) / 5.2:
General and adaptive sparse approximate inverses / 5.4:
AINV type preconditioner / 5.5:
Multi-stage preconditioners / 5.6:
The dual tolerance self-preconditioning method / 5.7:
Near neighbour splitting for singular integral equations / 5.8:
Multilevel methods and preconditioners [T3]: coarse grid approximation / 5.9:
Multigrid method for linear PDEs / 6.1:
Multigrid method for nonlinear PDEs / 6.2:
Multigrid method for linear integral equations / 6.3:
Algebraic multigrid methods / 6.4:
Multilevel domain decomposition preconditioners for GMRES / 6.5:
Multilevel recursive Schur complements preconditioners [T4] / 6.6:
Multilevel functional partition: AMLI approximated Schur / 7.1:
Multilevel geometrical partition: exact Schur / 7.2:
Multilevel algebraic partition: permutation-based Schur / 7.3:
Appendix: the FEM hierarchical basis / 7.4:
Sparse wavelet preconditioners [T5]: approximation of [characters not reproducible] and [characters not reproducible] / 7.5:
Introduction to multiresolution and orthogonal wavelets / 8.1:
Operator compression by wavelets and sparsity patterns / 8.2:
Band WSPAI preconditioner / 8.3:
New centering WSPAI preconditioner / 8.4:
Optimal implementations and wavelet quadratures / 8.5:
Numerical results / 8.6:
Wavelet Schur preconditioners [T6] / 8.7:
Wavelets telescopic splitting of an operator / 9.1:
An exact Schur preconditioner with level-by-level wavelets / 9.3:
An approximate preconditioner with level-by-level wavelets / 9.4:
Some analysis and numerical experiments / 9.5:
Discussion of the accompanied Mfiles / 9.6:
Implicit wavelet preconditioners [T7]
Wavelet-based sparse approximate inverse / 10.1:
An implicit wavelet sparse approximate inverse preconditioner / 10.3:
Implementation details / 10.4:
Dense problems / 10.5:
Some theoretical results / 10.6:
Combination with a level-one preconditioner / 10.7:
Discussion of the supplied Mfile / 10.8:
Application I: Acoustic scattering modelling
The boundary integral equations for the Helmholtz equation in R[superscript 3] and iterative solution / 11.1:
The low wavenumber case of a Helmholtz equation / 11.2:
The high wavenumber case of a Helmholtz equation / 11.3:
Discussion of software / 11.4:
Application II: Coupled matrix problems
Generalized saddle point problems / 12.1:
The Oseen and Stokes saddle point problems / 12.2:
The mixed finite element method / 12.3:
Coupled systems from fluid structure interaction / 12.4:
Elasto-hydrodynamic lubrication modelling / 12.5:
Discussion of software and a supplied Mfile / 12.6:
Application III: Image restoration and inverse problems
Image restoration models and discretizations / 13.1:
Fixed point iteration method / 13.2:
Explicit time marching schemes / 13.3:
The Primal-dual method / 13.4:
Nonlinear multigrids for optimization / 13.5:
The level set method and other image problems / 13.6:
Guide to software and the supplied Mfiles / 13.7:
Application IV: Voltage stability in electrical power systems
The model equations / 14.1:
Fold bifurcation and arc-length continuation / 14.2:
Hopf bifurcation and solutions / 14.3:
Preconditioning issues / 14.4:
A brief introduction to parallel computing and MPI / 14.5:
Some commonly used MPI routines / 15.2:
Example 1 of a parallel series summation / 15.3:
Example 2 of a parallel power method / 15.4:
Example 3 of a parallel direct method / 15.5:
Discussion of software and the supplied MPI Fortran files / 15.6:
A brief guide to linear algebra / Appendix A:
Linear independence / A.1:
Range and null spaces / A.2:
Orthogonal vectors and matrices / A.3:
Eigenvalues, symmetric matrices and diagonalization / A.4:
Determinants and Cramer's rule / A.5:
The Jordan decomposition / A.6:
The Schur and related decompositions / A.7:
The Harwell-Boeing (HB) data format / Appendix B:
A brief guide to MATLAB / Appendix C:
Vectors and matrices / C.1:
Visualization of functions / C.2:
Visualization of sparse matrices / C.3:
The functional Mfile and string evaluations / C.4:
Interfacing MATLAB with Fortran or C / C.5:
Debugging a Mfile / C.6:
Running a MATLAB script as a batch job / C.7:
Symbolic computing / C.8:
List of supplied M-files and programs / Appendix D:
List of selected scientific resources on Internet / Appendix E:
Freely available software and data / E.1:
Other software sources / E.2:
Useful software associated with books / E.3:
Specialized subjects, sites and interest groups / E.4:
References
Author Index
Subject Index
Preface
Introduction / 1:
Nomenclature
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