Title Statements
- Full title :Computation in modern physics / William R. Gibbs.
Edition Statements
- Publication Date:©2006.
- Edition:3rd ed
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Hackensack, N.J
- Language:eng
- Publication Date:©2006.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9789812773661, 9812773665
- oclc:on1020634757
- LC Classification:QC20.G48 2006
- Dewey Decimal:539.0285
Table of Contents
Intro; Contents; List of Figures; Preface; Chapter 1 Integration; 1.1 Classical Quadrature; 1.2 Orthogonal Polynomials; 1.2.1 Orthogonal Polynomials in the Interval -- 1 <x <1; 1.2.2 General Orthogonal Polynomials; 1.3 Gaussian Integration; 1.3.1 Gauss-Legendre Integration; 1.3.2 Gauss-Laguerre Integration; 1.4 Special Integration Schemes; 1.5 Principal Value Integrals; Chapter 2 Introduction to Monte Carlo; 2.1 Preliminary Notions -- Calculating TT; 2.2 Evaluation of Integrals by Monte Carlo; 2.3 Techniques for Direct Sampling; 2.3.1 Cumulative Probability Distributions.
2.3.2 The Characteristic Function o(t)2.3.3 The Fundamental Theorem of Sampling; 2.3.4 Sampling Monomials 0 <x <1; 2.3.5 Sampling Functions 0 <x <oo; 2.3.5.1 The Exponential Function; 2.3.5.2 Other Algebraically Invertible Functions; 2.3.5.3 Sampling a Gaussian Distribution; 2.3.6 Brute-force Inversion of F(x); 2.3.7 The Rejection Technique; 2.3.8 Sums of Random Variables; 2.3.9 Selection on the Random Variables; 2.3.10 The Sum of Probability Distribution Functions; 2.3.10.1 Special Cases; 2.4 The Metropolis Algorithm; 2.4.1 The Method Itself; 2.4.2 Why It Works.
2.4.3 Comments on the AlgorithmChapter 3 Differe…
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