Error and Recursion

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Related lectures (32)

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Error Analysis and Stability in Numerical Methods

Covers error analysis, stability, and adaptive time stepping in numerical methods, including convergence order and equilibrium points.

Floating Point Numbers: Representation and Errors

Introduces floating point number representation, round-off errors, and their impact on numerical computations.

Numerical Derivatives: Finite Central Differences (2)

Explores the accuracy of central finite difference formulas for derivatives.

Eigenvalues and Eigenvectors

Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.

Mathematics of Data: Optimization Basics

Covers basics on optimization, including norms, Lipschitz continuity, and convexity concepts.

Convex Optimization: Linear Algebra Review

Provides a review of linear algebra concepts crucial for convex optimization, covering topics such as vector norms, eigenvalues, and positive semidefinite matrices.

Numerical Integration: Basics

Covers digital integration, interpolation polynomials, and integration formulas with error analysis.

Digital Physics: Convergence and Error Analysis

Discusses evaluation feedback, convergence, error analysis, and adaptive time steps in physics simulations.

Advanced analysis II: local inversion theorem

Covers the local inversion theorem and uniqueness of solutions in a ball around a point.

Iterative Numerical Methods: Convergence and Errors

Explores iterative numerical methods for solving equations, emphasizing convergence criteria, errors, and starting values' impact.