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1.

図書

図書
edited by J.J.H. Miller
出版情報: Dublin : Boole Press, c1984  viii, 101p ; 24 cm
シリーズ名: Advances in numerical computation series ; v. 6
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2.

図書

図書
P.K. Banerjee and R. Butterfield
出版情報: London ; Tokyo : McGraw-Hill, c1981  xiv, 452 p. ; 23 cm
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3.

図書

図書
editors, M. Tanaka, C.A. Brebbia
出版情報: Southampton : Computational Mechanics Institute , Berlin ; Tokyo : Springer-Verlag, c1986  2 v. (xix, 917 p.) ; 24 cm
シリーズ名: A Computational mechanics publication
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4.

図書

図書
J.C.F. Telles
出版情報: Berlin ; New York : Springer-Verlag, 1983  ix, 243 p. ; 24 cm
シリーズ名: Lecture notes in engineering ; 1
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5.

図書

図書
David Colton, Rainer Kress
出版情報: New York : Wiley, c1983  xii, 271 p. ; 24 cm
シリーズ名: Pure and applied mathematics : a Wiley-Interscience series of texts, monographs, and tracts
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6.

図書

図書
G.F. Roach
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1982  xiii, 325 p. ; 24 cm
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目次情報: 続きを見る
Preface to the First Edition
Preface to the Second Edition
The Concept of a Green's Function / Chapter 1:
Vector Spaces and Linear Transformations / Chapter 2:
Vector Spaces / 2.1:
Linearly Independent Vectors / 2.2:
Orthonormal Vectors / 2.3:
Linear Transformations / 2.4:
Systems of Finite Dimension / Chapter 3:
Matrices and Linear Transformations / 3.1:
Change of Basis / 3.2:
Eigenvalues and Eigenvectors / 3.3:
Symmetric Operators / 3.4:
Bounded Operators / 3.5:
Positive Definite Operators / 3.6:
Continuous Functions / Chapter 4:
Limiting Processes / 4.1:
Integral Operators / 4.2:
The Kernel of an Integral Operator / 5.1:
Symmetric Integral Transformations / 5.2:
Separable Kernels / 5.3:
Eigenvalues of a Symmetric Integral Operator / 5.4:
Expansion Theorems for Integral Transformations / 5.5:
Generalized Fourier Series and Complete Vector Spaces / Chapter 6:
Generalized Fourier Series / 6.1:
Approximation Theorem / 6.2:
Complete Vector Spaces / 6.3:
Differential Operators / Chapter 7:
Introduction / 7.1:
Inverse Operators and the [delta]-function / 7.2:
The Domain of a Linear Differential Operator / 7.3:
Adjoint Differential Operators / 7.4:
Self-Adjoint Second-Order Differential Operators / 7.5:
Non-Homogeneous Problems and Symbolic Operators / 7.6:
Green's Functions and Second-Order Differential Operators / 7.7:
The Problem of Eigenfunctions / 7.8:
Green's Functions and the Adjoint Operator / 7.9:
Spectral Representation and Green's Functions / 7.10:
Integral Equations / Chapter 8:
Classification of Integral Equations / 8.1:
Method of Successive Approximations / 8.2:
The Fredholm Alternative / 8.3:
Symmetric Integral Equations / 8.4:
Equivalence of Integral and Differential Equations / 8.5:
Green's Functions in Higher-Dimensional Spaces / Chapter 9:
Partial Differential Operators and [delta]-functions / 9.1:
Green's Identities / 9.3:
Fundamental Solutions / 9.4:
Self-Adjoint Elliptic Equations (The Dirichlet Problem) / 9.5:
Self-Adjoint Elliptic Equations (The Neumann Problem) / 9.6:
Parabolic Equations / 9.7:
Hyperbolic Equations / 9.8:
Worked Examples / 9.9:
Calculation of Particular Green's Functions / Chapter 10:
Method of Images / 10.1:
Generalized Green's Functions / 10.2:
Mixed Problems / 10.3:
Approximate Green's Functions / Chapter 11:
Generalized Potentials / 11.1:
A Representation Theorem / 11.4:
Choice of Approximate Kernal / 11.5:
Summary of the Green's Function Method / Appendix A:
Green's Function Method for Ordinary Differential Equations / A1:
Green's Function Method for Partial Differential Equations / A2:
Operators and Expressions / Appendix B:
The Lebesgue Integral / Appendix C:
Distributions / Appendix D:
Bibliography
Chapter References
Index
Preface to the First Edition
Preface to the Second Edition
The Concept of a Green's Function / Chapter 1:
7.

図書

図書
S.L. Crouch and A.M. Starfield
出版情報: London ; Boston : Allen & Unwin, c1983  xii, 322 p. ; 25 cm
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8.

図書

図書
editors, C.A. Brebbia, W.L. Wendland, G. Kuhn
出版情報: Southampton : Computational Mechanics , Berlin ; Tokyo : Springer-Verlag, 1987  607 p. ; 24 cm
シリーズ名: Boundary elements IX ; v. 1
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9.

図書

図書
by A.M. Arthurs
出版情報: Oxford : Clarendon Press, 1980  vii, 154 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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10.

図書

図書
Philippe G. Ciarlet, Patrick Rabier
出版情報: Berlin ; New York : Springer-Verlag, 1980  vi, 181 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 826
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