Finite difference

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Related lectures (30)

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Maximum Principle in Elliptic Problems

Explores the maximum principle in elliptic problems and its implications, including inverse monotonicity and comparison functions.

Error Analysis: Discrete FD Scheme

Covers the error analysis of a discrete finite difference scheme, focusing on stability and perturbation.

Numerical Methods for Physics: Iterative Solutions and Mesh Convergence

Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.

Truncation Error in Digital Derivation

Explores the concept of truncation error in digital derivation and the classification of different error orders.

Difference Equations: Roots and Solutions

Explores characteristic polynomials, stability conditions, homogeneous solutions, and transfer functions in difference equations.

Discrete Systems: Relations, Linear Dynamics, and Operators

Covers discrete systems, linear dynamics, causality, impulse response, convolution, and operators' effects.

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Finite Difference Method

Summarizes the finite difference method for solving one-dimensional limit problems.

Transporters: a proxy for parallel transport

Explores transporters as a practical alternative to parallel transport, discussing minimal requirements, examples with matrices, pragmatic choices, and optimization algorithms.

Parallel Flow Instability

Explores parallel flow instability, velocity ratio effect, and solving the Rayleigh equation.