Wave Equation: Numerical Methods

Related lectures (30)

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

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.

Explores the stability of the wave equation finite difference scheme and resonant excitation.

Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.

Covers the stability analysis of the Newmark-B method and its implementation.

Explains the Runge-Kutta methods, particularly the explicit scheme of order 4 (ERK4), and how to optimize parameters for accuracy.

Covers numerical methods in physics, focusing on solving complex problems and understanding limitations.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Covers implicit schemes in numerical analysis for solving partial differential equations.

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.