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Introduction to Numerical Methods in Java

Numerical integration, linear systems, matrixes, interpolation, Google's PageRank algorithm and differential equations
Course from Udemy
 938 students enrolled
 en
Use numerical methods of all kinds
Use numerical methods for integration
Use numerical methods for solving differential equations
Use numerical methods to analyze linear systems
Understand Google's PageRank algorithm

This course is about numerical methods. We are NOT going to discuss ALL the theory related to numerical methods (for example how to solve differential equations). We are just going to consider the concrete implementations and numerical principles.

The first section is about matrix algebra and linear systems: such as matrix multiplication, gaussian elimination and applications of these approaches, such as Google's PageRank algorithm.

Then we will talk about numerical integration. How to use techniques like trapezoidal rule, Simpson formula and Monte-Carlo method - my personal favourite.

The last chapter is about solving differential equations with Euler's-method and Runge-Kutta approach. We will consider examples such as the pendulum problem. 

Section 1:

  • numerical methods basics

  • floating point representation

  • rounding errors

Section 2:

  • linear algebra

  • matrix multiplication

  • Gauss-elimination

Section 3:

  • eigenvectors and eigenvalues

  • Google's PageRank algorithm

Section 4:

  • solving non-linear equations

  • root finding

  • Newton's method and bisection method

Section 5:

  • numerical integration

  • rectangle method and trapezoidal method

  • Simpson's method

  • Monte-Carlo integration

Section 6:

  • solving differential-equations

  • Euler's method

  • Runge-Kutta method

Section 7:

  • interpolation

  • Lagrange method

Thanks for joining my course, let's get started!

Introduction to Numerical Methods in Java
$ 94.99
per course
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