The Third Branch of Physics, Eassys in Scientific Computing

Norbert Schaorghofer

Table of contents :
THIRD BRANCH OF PHYSICS: Essays on Scientific Computing……Page 1
Contents……Page 3
About This Manuscript……Page 5
Analytic and Numeric Solutions; Chaos……Page 7
Themes of Numerical Analysis……Page 10
Roundoff and Number Representation……Page 16
Programming Tools……Page 22
Physics Sampler……Page 27
Discrete Approximations of the Continuum……Page 35
From Programs to Data Analysis……Page 42
Performance Basics……Page 47
Bytes at Work……Page 53
Counting Operations……Page 58
Random Numbers and Stochastic Methods……Page 64
Algorithms, Data Structures, and Complexity……Page 68
Symbolic Computation……Page 74
A Crash Course on Partial Differential Equations……Page 78
Lesson from Density Functionals……Page 85
Answers to Problems……Page 89