Lectures related to Truncation Error in Digital Derivation

Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.

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

Explores the accuracy of central finite difference formulas for derivatives.

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

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Explores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.

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

Explores finite differences formulas, error analysis, and numerical experiments in computational mathematics.

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

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

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.

Explores Hoeffding's and Azuma's inequalities, emphasizing finite difference martingales and exponential bounds.

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Covers the application of finite element methods to solve boundary value problems in one dimension.

Covers discretization methods and fluid interfaces in numerical flow simulation.

Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Covers chapter 10 on boundary problems in 1D using finite difference methods.

Discusses numerical differentiation, error analysis, and finite difference formulas.