Numerical methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
London
London
1966
|
| Ausgabe: | Reprint. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804128238703738880 |
|---|---|
| adam_text | CONTENTS
PA.OB
Preface .......... v
List of Books and Tables Referred to in the Text . . . xi
Chapter 1
An Introduction to Computation .... 1
Errors—The aid of tables—Mechanical aids
Chapter 2
Sums and Differences of Polynomials . . .46
Forward and backward differences and sums— Central
differences and sums—Factorials— Applications of factorials
Chapter 3
Lagrangian Methods of Interpolation, Differentiation
and Integration 69
The problem of interpolation—Lagrange s interpolation poly¬
nomial—Integration—The accuracy of Lagrangian formulas
Chapter 4
Newton s Method of Divided Differences . . 92
Divided differences and their properties—Newton s expansion
of f(x) in divided differences—Practical methods
Chapter 5
Differences at Constant Interval . . . .108
Interpolation formulas— Use of difference formulas for
interpolation—Differentiation—Integration
Chapter 6
Symbolic Methods 143
Displacement and difference operators—Relations with
differential and integral operators—Validity of the symbolic
method—Summation
vii
viii contents ,
I
Chapter 7 PAGB
Solution op Ordinary Differential Equations (1) .169 i
General considerations—Series solutions—Series solutions |
for large x—Other approximate methods— Tabulation of j
functions
Chapter 8
Solution of Ordinary Differential Equations (2) . 208
Recurrence methods for linear equations—Integral methods
without differences—Integral methods with use of differences
—Errors of solution—Modified Taylor series methods— j
Single step methods—Two point boundary conditions
Chapter 9 j
Polynomial and Other Algebraic Equations . . 251
Iterative methods of improving real roots—Iteration in
general — Simultaneous equations — Cubic equations —
Quadratic factors of polynomial equations—Bernoulli
Aitken method for algebraic equations— The root squaring
method—Determinantal equations
Chapter 10
Fitting of Data by the Method of Least Squares . 305
Legendre s principle of least square error—Use of orthogonal
functions— Continuous approximation by the method of
least squares—Fitting by sums of exponentials
Chapter 11
Direct Solution of Simultaneous Linear Equations . 342
Introduction —¦ Symmetrical equations — Unsymmetrical
equations—Mistakes and errors—Volterra integral equations
Chapter 12
Matrices and Determinantal Equations . . . 377
Summary of matrix properties—Expansion of determinantal j
equations—General principles of iterative methods—Nu¬
merical application of iterative methods—Lanozos method
CONTENTS ix
Chapter 13 PAG35
Indirect Methods fob, Linear Equations . . . 430
Classical iterative methods—Inversion of a matrix—The
relaxation method
Chapter 14
Ordinary Differential and Fredholm Integral
Equations ........ 453
Two point boundary conditions—Latent root problems—
Fredholm integral equations
Chapter 15
Functions of Two Variables ..... 486
Interpolation—Cubature—Differentiation—Functions of a
complex variable
Chapter 16
Partial Differential Equations ..... 516
Classification of second order equations—Parabolic equations
—Hyperbolic equations—Elliptic equations
Appendix 1
Relations Between Powers and Factorials . . 574
Appendix 2
Summary of Difference Formulas, with Remainders . 580
Appendix 3
Lagrangian Formulas for Differentiation and
Integration ........ 585
Appendix 4
Gaussian Quadrature 589
Appendix 5
Orthogonal Polynomials for Curve fitting . .591
Index of Useful Formulas in Text ..... 595
Index 599
|
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| edition | Reprint. |
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| id | DE-604.BV013446964 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:04Z |
| institution | BVB |
| language | Undetermined |
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| open_access_boolean | |
| publishDate | 1966 |
| publishDateSearch | 1966 |
| publishDateSort | 1966 |
| publisher | London |
| record_format | marc |
| spelling | Buckingham, R. A. Verfasser aut Numerical methods Reprint. London London 1966 txt rdacontent n rdamedia nc rdacarrier Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009178496&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Buckingham, R. A. Numerical methods Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4042805-9 |
| title | Numerical methods |
| title_auth | Numerical methods |
| title_exact_search | Numerical methods |
| title_full | Numerical methods |
| title_fullStr | Numerical methods |
| title_full_unstemmed | Numerical methods |
| title_short | Numerical methods |
| title_sort | numerical methods |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Numerische Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009178496&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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