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Numerical methods using MATLAB
Contents:
Chapter 1 Introduction to matlab
Introduction
Interface
Getting started
Functions
Other variable types
Saving/loading variable
Chapter 2 Matrix representation, operations and vectorization
Matrix representation
Operations
Indexing
Vectorization
Tips for performance improvement
Chapter 3 Numerical techniques
Differentiation
Integration
Solving equations
Interpolation
Chapter 4 Visualization
Line plots
2D plots
Quiver plots
3D plots
Animations
Movies
Chapter 5 Introduction to simulation
One step simulations
Iterative methods
Simulation of real wordl processes
Example: balls in a 2D box
Event-based simulations
Chapter 6 Monte carlo simulations
Random sampling
Sampling from a given distribution
Statistical performance
Multimensional integrals
Summary
Chapter 7 Optimization
Optimization overview
Implementation
Buil-in functions in matlab
Summary
Chapter 8 Evolutionary computations
The rastrigin function
Particle swarm optimization
The genetic algorithm
Summary
Chapter 9 Regression and model fitting
Regression
Time series analysis
Neural network
Summary
Chapter 10 Differential equations and system dynamics
Differential equations
System dynamics
Summary
Index
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