Numerical methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Pitman
1966
|
| Ausgabe: | Reprint. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 605 S. graph. Darst. |
Internformat
MARC
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Datensatz im Suchindex
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| 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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| discipline | Mathematik |
| edition | Reprint. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:21:29Z |
| institution | BVB |
| language | English |
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| physical | XII, 605 S. graph. Darst. |
| publishDate | 1966 |
| publishDateSearch | 1966 |
| publishDateSort | 1966 |
| publisher | Pitman |
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| spelling | Buckingham, Richard A. Verfasser aut Numerical methods by R. A. Buckingham Reprint. London Pitman 1966 XII, 605 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Calculators Numerical calculations Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005643530&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Buckingham, Richard A. Numerical methods Calculators Numerical calculations 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 by R. A. Buckingham |
| title_fullStr | Numerical methods by R. A. Buckingham |
| title_full_unstemmed | Numerical methods by R. A. Buckingham |
| title_short | Numerical methods |
| title_sort | numerical methods |
| topic | Calculators Numerical calculations Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Calculators Numerical calculations Numerische Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005643530&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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