BASIC MATHEMATICAL OPERATIONS


4 Integration of Functions
4.0 Introduction
4.1 Classical Formulas for Equally-Spaced Abscissas
4.2 Elementary Algorithms
4.3 Romberg Integration
4.4 Improper Integrals

9 Root Finding and Nonlinear Sets of Equations
9.0 Introduction
9.1 Bracketing and Bisection
9.2 Secant Method, False Position Method, and Ridders' Method
9.3 Van Wijngaarden-Deker-Brent Method
9.4 Newton-Raphson Method Using Derivative
9.5 Roots of Polynomials

S.E. Koonin, D.C. Meredith: Computational Physics
Chapter 1: Basic Mathematical Operations


PROJECT I: Semiclassical Quantization of Molecular Vibrations

(from: S.E. Koonin, D.C. Meredith: Computational Physics)


PROJECT II: Scattering by a Central Potential

(from: S.E. Koonin, D.C. Meredith: Computational Physics)