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1.

図書

図書
Peter B. Kahn
出版情報: New York : Wiley, c1990  xix, 469 p. ; 24 cm
シリーズ名: Wiley science paperback series
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目次情報: 続きを見る
Linear Systems
Matrix Theory
The Gamma and Related Functions
Elements of Asymptotics
Evaluation of Sums: The Euler-Mac Laurin Sum Expansion
Evaluation of Integrals: The Laplace Method
Differential Equations
Nonlinear Systems
The Simple Harmonic Oscillator and the Logistic Equation
Aspects of Harmonic Motion and the Concept of Secular Terms
Equilibrium Points and the Phase Plane
Conservative Systems
Nonconservative Systems
The Method of Averaging (MOA)
The Method of Multiple Times Scales (MMTS)
Higher-Order Calculations
Error Analysis
One-Dimensional Iterative Maps and the Onset of Chaos
Appendix
Index
Linear Systems
Matrix Theory
The Gamma and Related Functions
2.

図書

図書
Karl Heinz Hoffmann, Michael Schreiber (Eds.)
出版情報: Berlin : Springer, c1996  xiv, 379 p. ; 25 cm
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3.

図書

図書
K. Langanke, J.A. Maruhn, S.E. Koonin, editors
出版情報: New York ; Tokyo : Springer, c1993  xiv, 203 p. ; 25 cm
シリーズ名: Computational nuclear physics ; 2
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4.

図書

図書
K. Langanke, J.A. Maruhn, S.E. Koonin, (eds.)
出版情報: Berlin ; New York : Springer-Verlag, c1991  xii, 209 p.: ill. ; 25 cm
シリーズ名: Computational nuclear physics ; 1
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5.

図書

図書
editors, C. Taylor, J. H. Chin, G. M. Homsy
出版情報: Swansea [England] : Pineridge, 1991  2 v. (1753 p.) ; 24 cm
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6.

図書

図書
D.J. Bell
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1990  xiii, 304 p. ; 24 cm
シリーズ名: Oxford science publications
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目次情報: 続きを見る
Introduction to Dynamical Systems / 1:
Aspects of Set Theory / 2:
Mappings / 3:
Semigroups and Groups / 4:
Rings and Fields / 5:
Vector Spaces and Modules / 6:
Metric and Normed Spaces / 7:
Limits, Convergence, and Boundedness / 8:
Sets, Convexity, and Topology / 9:
Continuity and Differentiability / 10:
Manifolds and Lie Algebras / 11:
Introduction to Dynamical Systems / 1:
Aspects of Set Theory / 2:
Mappings / 3:
7.

図書

図書
Philip E. Gill, Walter Murray, Margaret H. Wright
出版情報: Redwood City, Calif. : Addison-Wesley Pub. Co., Advanced Book Program, c1991  xvii, 426 p. ; 24 cm
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8.

図書

図書
Christian Hafner, Lars Henning Bomholt
出版情報: Chichester : Wiley, c1993  xiv, 368 p. ; 26 cm
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9.

図書

図書
Lloyd N. Trefethen, David Bau, III
出版情報: Philadelphia : Society for Industrial and Applied Mathematics, c1997  xii, 361 p. ; 26 cm
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目次情報: 続きを見る
Preface
Fundamental: / Part I:
Matrix-vector multiplication / 1:
Orthogonal vectors and matrices / 2:
Norms / 3:
The singular value decomposition / 4:
More on the SVD / 5:
QR Factorization and Least Squares: / Part II:
Projectors / 6:
QR factorization / 7:
Gram-Schmidt orthogonalization / 8:
MATLAB / 9:
Householder triangularization / 10:
Least squares problems / 11:
Conditioning and Stability: / Part III:
Conditioning and condition numbers / 12:
Floating point arithmetic / 13:
Stability / 14:
More on stability / 15:
Stability of householder triangularization / 16:
Stability of back substitution / 17:
Conditioning of least squares problems / 18:
Stability of least squares algorithms / 19:
Systems of Equations: / Part IV:
Gaussian elimination / 20:
Pivoting / 21:
Stability of Gaussian elimination / 22:
Cholesky factorization / 23:
Eigenvalues: / Part V:
Eigenvalue problems / 24:
Overview of Eigenvalue algorithms / 25:
Reduction to Hessenberg or tridiagonal form / 26:
Rayleigh quotient, inverse iteration / 27:
QR algorithm without shifts / 28:
QR algorithm with shifts / 29:
Other Eigenvalue algorithms / 30:
Computing the SVD / 31:
Iterative Methods: / Part VI:
Overview of iterative methods / 32:
The Arnoldi iteration / 33:
How Arnoldi locates Eigenvalues / 34:
GMRES / 35:
The Lanczos iteration / 36:
From Lanczos to Gauss quadrature / 37:
Conjugate gradients / 38:
Biorthogonalization methods / 39:
Preconditioning / 40:
Appendix
Notes
Bibliography
Index
Preface
Fundamental: / Part I:
Matrix-vector multiplication / 1:
10.

図書

図書
edited by Max D. Gunzburger and Roy A. Nicolaides
出版情報: Cambridge : Cambridge University Press, 1993  xiii, 481 p. ; 24 cm
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A few tools for turbulence models in Navier-Stokes equations / 1:
On some finite element methods for the numerical simulation of incompressible viscous flow / 2:
CFD - an industrial perspective / 3:
Stabilized finite element methods / 4:
Optimal control and optimization of viscous, incompressible flows / 5:
A fully-coupled finite element algorithm, using direct and iterative solvers, for the incompressible Navier-Stokes equations / 6:
Numerical solution of the incompressible Navier-Stokes equations in primitive variables on unstaggered grids / 7:
Spectral element and lattice gas methods for incompressible fluid dynamics / 8:
Design of incompressible flow solvers: practical aspects / 9:
The covolume approach to computing incompressible flows / 10:
Vortex methods: an introduction and survey of selected research topics / 11:
New emerging methods in numerical analysis: applications to fluid mechanics / 12:
The finite element method for three-dimensional incompressible flow / 13:
A posteriori error estimators and adaptive mesh-refinement techniques for the Navier-Stokes equation / 14:
A few tools for turbulence models in Navier-Stokes equations / 1:
On some finite element methods for the numerical simulation of incompressible viscous flow / 2:
CFD - an industrial perspective / 3:
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