Theoretical numerical analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York and London
Academic Press
1967
|
| Edition: | second printing |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xi, 239 Seiten |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface vii
Preliminaries xi
Chapter 1. Interpolation and Quadrature
1.1. Hermite Interpolation 1
1.2. Lagrange Interpolation and Newton Cotes Quadrature 7
1.3. Orthogonal Polynomials and Gaussian Quadrature 14
1.4. Nonanalytic Interpolation and Associated Quadrature 23
Exercises 32
Computer Problems 33
Notes 33
Chapter 2. Approximation
2.1. Degree of Approximation by Polynomials 35
2.2. Approximation by Interpolation 44
2.3. Chebyshev Approximation 54
2.4. An Algorithm for Chebyshev Approximation 61
Appendix 67
Exercises 71
Computer Problems 73
Notes 73
Chapter 3. Ordinary Differential Equations
3.1. The Initial Value Problem 75
3.2. An Inhomogeneous Boundary Value Problem 86
3.3. A Homogeneous Boundary Value Problem 96
Exercises 106
Computer Problems 108
Notes 108
ix
X CONTENTS
Chapter 4. Solution of Equations
4.1. Matrix Inversion by Triangular Decomposition 111
4.2. The Matrix Eigenvalue Problem 135
4.3. Linear Iterative Methods 153
4.4. Iterative Methods for Nonlinear Systems 161
Exercises 175
Computer Problem 177
Notes 177
Chapter 5. Partial Differential Equations
5.1. First Order Systems 180
5.2. The Heat Equation 194
5.3. Stability 202
5.4. The Maximum Principle 223
Exercises 230
Notes 231
References 232
Additional Reading 235
Author Index 237
Subject Index 238
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:51:41Z |
| institution | BVB |
| language | English |
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| oclc_num | 476337105 |
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| physical | xi, 239 Seiten |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Academic Press |
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| spelling | Wendroff, Burton 1930- (DE-588)1267329173 aut Theoretical numerical analysis Burton Wendroff second printing New York and London Academic Press 1967 xi, 239 Seiten txt rdacontent n rdamedia nc rdacarrier Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s Theorie (DE-588)4059787-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001863870&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wendroff, Burton 1930- Theoretical numerical analysis Numerische Mathematik (DE-588)4042805-9 gnd Theorie (DE-588)4059787-8 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4059787-8 |
| title | Theoretical numerical analysis |
| title_auth | Theoretical numerical analysis |
| title_exact_search | Theoretical numerical analysis |
| title_full | Theoretical numerical analysis Burton Wendroff |
| title_fullStr | Theoretical numerical analysis Burton Wendroff |
| title_full_unstemmed | Theoretical numerical analysis Burton Wendroff |
| title_short | Theoretical numerical analysis |
| title_sort | theoretical numerical analysis |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd Theorie (DE-588)4059787-8 gnd |
| topic_facet | Numerische Mathematik Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001863870&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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