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Lecture
Finite Difference Method
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Numerical Differentiation: Finite Differences
Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.
Coordinate Descent: Efficient Optimization Techniques
Covers coordinate descent, a method for optimizing functions by updating one coordinate at a time.
Numerical Analysis: Advanced Topics
Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.
Numerical Flow Simulation: Discretization Methods & Fluid Interfaces
Covers discretization methods and fluid interfaces in numerical flow simulation.
Finite Differences Formulas: Error Analysis
Explores finite differences formulas, error analysis, and numerical experiments in computational mathematics.
Other Topics: Techniques for Fluid Interfaces
Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.
Finite Differences and Finite Elements: Variational Formulation
Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.
Error Analysis: Discrete FD Scheme
Covers the error analysis of a discrete finite difference scheme, focusing on stability and perturbation.
Numerical Analysis: Solving Linear Systems in Higher Dimensions
Covers numerical analysis and optimization, focusing on solving linear systems in higher dimensions using finite difference methods.
Numerical Derivatives: Finite Central Differences (2)
Explores the accuracy of central finite difference formulas for derivatives.