Numerical Methods in Physics

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Related lectures (29)

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Fixed-Point Methods and Newton-Raphson

Covers fixed-point methods and Newton-Raphson, emphasizing their convergence and error control.

Error Estimation in Numerical Methods

Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.

Numerical Methods for Schrödinger Equation

Explores numerical methods for solving the time-dependent Schrödinger equation using grid representation and split-operator algorithms.

Numerical Methods: Iterative Techniques

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Stochastic Differential Equations: Mean-Field Inference

Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.

Implicit Schemes in Numerical Analysis

Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Finite Element Modeling: Introduction

Introduces finite element modeling for numerical solutions to complex problems.

System of ODEs: High Order ODEs

Covers high order ODEs, numerical methods, and stability criteria.

Zero-stability and absolute-stability

Explores zero-stability and absolute-stability in numerical methods, including Forward Euler, Backward Euler, Crank-Nicolson, and Heun's methods.