Numerical Maths

In this repository I will discuss the Numerical Maths

Outline

In this page, we will cover the following topics:

• Numerical Analysis
• Numerical Linear Algebra
• Numerical Methods for ODEs
• Numerical Methods for PDEs

Numerical Analysis

study of algorithms to numerical approximation of the problems

Numerical Linear Algebra

Overview of Linear Algebra

Basics of matrix algebra

Vector and matrix norm

Numerical Methods for ODEs

numerical techniques for ODE

Numerical Methods for PDEs

I will cover the following numerical techniques:

• Finite Differenece Methods
• Finite Element Methods
• Finite Volume Methods
• Meshless/Meshfree Methods
• Spectral method
• Lattice Boltzmann methods
• Boundary element method
• Immersed boundary method
• Isogeometric analysis

Solvers and Algorithms

• Newton Solver and so on!
• Iterative Methods for Linear and Nonlinear Equations
• Preconditioner (transformation)
• Algebraic Multigrid (AMG) and Geometric Multigrid (GMG) methods
• Domain Decompositon Methods (Overlapping and Non-overlapping)

Linearization Methods

Model problem

• Transport Equation
• Convection–Diffusion equation
• Navier-Stokes Equation

Documentation

Documentation

Resources

Appendix

Any additional information goes here

License

MIT

Authors

@mzallaghi4

Mehdi Zallaghi (Email:[email protected])

About Me

I'm a maths and numerical solution developer...

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