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1.

図書

図書
Alain Bensoussan, Jacques-Louis Lions ; English version edited, prepared, and produced by Trans-Inter-Scientia
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1982  xi, 564 p. ; 23 cm
シリーズ名: Studies in mathematics and its applications ; v. 12
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2.

図書

図書
Manfred Kracht, Erwin Kreyszig
出版情報: New York : Wiley, c1988  xiv, 394 p. ; 24 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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3.

図書

図書
Ronald B. Guenther and John W. Lee
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1988  xii, 544 p. ; 25 cm
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4.

図書

図書
John Gregory
出版情報: New York : Academic Press, 1980  xii, 237 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 152
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目次情報: 続きを見る
Preface
Overview / 1:
Methods of Operator Approximation in System Modelling / I:
Nonlinear Operator Approximation with Preassigned Accuracy / 2:
Introduction / 2.1:
Generic formulation of the problem / 2.2:
Operator approximation in space C([0; 1]) / 2.3:
Operator approximation in Banach spaces by polynomial operators / 2.4:
Approximation on compact sets in topological vector spaces / 2.5:
Approximation on noncompact sets in Hilbert spaces / 2.6:
Special results for maps into Banach spaces / 2.7:
Concluding remarks / 2.8:
Interpolation of Nonlinear Operators 65 / 3:
Lagrange interpolation in Banach spaces / 3.1:
Weak interpolation of nonlinear operators / 3.3:
Some related results / 3.4:
Realistic Operators and their Approximation / 3.5:
Formalization of concepts related to description of real-world objects / 4.1:
Approximation of RÂícontinuous operators / 4.3:
Methods of Best Approximation for Nonlinear Operators / 4.4:
Best Approximation of nonlinear operators in Banach spaces: Deterministic case / 5.1:
Estimation of mean and covariance matrix for random vectors / 5.3:
Best Hadamard-quadratic approximation / 5.4:
Best polynomial approximation / 5.5:
Best causal approximation / 5.6:
Best hybrid approximations / 5.7:
Optimal Estimation of Random Vectors / 5.8:
Computational Methods for Optimal Filtering of Stochastic Signals / 6:
Optimal linear Filtering in Finite dimensional vector spaces / 6.1:
Optimal linear Filtering in Hilbert spaces / 6.3:
Optimal causal linear Filtering with piecewise constant memory / 6.4:
Optimal causal polynomial Filtering with arbitrarily variable memory / 6.5:
Optimal nonlinear Filtering with no memory constraint / 6.6:
Computational Methods for Optimal Compression and Reconstruction of Random Data / 6.7:
Standard Principal Component Analysis and Karhunen-Loeeve transform (PCA{KLT) / 7.1:
Rank-constrained matrix approximations / 7.3:
Generic PCA{KLT / 7.4:
Optimal hybrid transform based on Hadamard-quadratic approximation / 7.5:
Optimal transform formed by a combination of nonlinear operators / 7.6:
Optimal generalized hybrid transform / 7.7:
Bibliography / 7.8:
Index
Preface
Overview / 1:
Methods of Operator Approximation in System Modelling / I:
5.

図書

図書
by B.L. Roždestvenskiĭ and N.N. Janenko ; [translated from the Russian by J.R. Schulenberger]
出版情報: Providence, R.I. : American Mathematical Society, c1983  xx, 676 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 55
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6.

図書

図書
A. Pazy
出版情報: New York : Springer-Verlag, c1983  viii, 279 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 44
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7.

図書

図書
Jacques Chazarain and Alain Piriou
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1982  xiv, 559 p. ; 24 cm
シリーズ名: Studies in mathematics and its applications ; 14
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8.

図書

図書
Murray H. Protter, Hans F. Weinberger
出版情報: New York ; Tokyo : Springer-Verlag, c1984  x, 261 p. ; 25 cm
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目次情報: 続きを見る
The One-Dimensional Maximum Principle
Elliptic Equations
Parabolic Equations
Hyperbolic Equations
Bibliography
Index
The One-Dimensional Maximum Principle
Elliptic Equations
Parabolic Equations
9.

図書

図書
Erich Zauderer
出版情報: New York : Wiley, c1983  xiii, 779 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Random Walks and Partial Differential Equations
First Order Partial Differential Equations
Classification of Equations and Characteristics
Initial and Boundary Value Problems in Bounded Regions
Integral Transforms
Integral Relations
Green's Functions
Variational and Other Methods
Perturbation Methods
Asymptotic Methods
Bibliography
Solutions to Selected Exercises
Index
Random Walks and Partial Differential Equations
First Order Partial Differential Equations
Classification of Equations and Characteristics
10.

図書

図書
A.R. Mitchell and D.F. Griffiths
出版情報: Chichester [Eng.] ; New York : Wiley, c1980  xii, 272 p. ; 24 cm
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