Computational Functional Analysis
Horwood Publishing Ltd (Verlag)
978-1-904275-24-4 (ISBN)
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Ramon E. Moore, Ohio State University, USA. Michael J. Cloud, Lawrence Technological University, USA.
Preface
Acknowledgements
Notation
1: Introduction
2: Linear spaces
3: Topological spaces
4: Metric spaces
5: Normed linear spaces and Banach spaces
6: Inner product spaces and Hilbert spaces
7: Linear functionals
8: Types of convergence in function spaces
9: Reproducing kernel Hilbert spaces
10: Order relations in function spaces
11: Operators in function spaces
Neumann series
Adjoint operators
12: Completely continuous (compact) operators
13: Approximation methods for linear operator equations
14: Interval methods for operator equations
15: Contraction mappings and iterative methods for operator equations in fixed point form
16: Fréchet derivatives
17: Newton’s method in Banach spaces
18: Variants of Newton’s method
Numerical examples
19: Homotopy and continuation methods
Davidenko’s method
Computational aspects
20: A hybrid method for a free boundary problem
Hints for selected exercises
Further reading
Index
Erscheint lt. Verlag | 1.6.2007 |
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Sprache | englisch |
Gewicht | 310 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
ISBN-10 | 1-904275-24-9 / 1904275249 |
ISBN-13 | 978-1-904275-24-4 / 9781904275244 |
Zustand | Neuware |
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