Approximation error

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Related lectures (30)

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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.

Bisection, Stop Criteria

Explains the bisection method for nonlinear equations and how to determine stop criteria.

Issues with STL; DFAM

Discusses known problems with .STL format, control parameters, issues with high aspect ratio parts, multimaterial parts, and introduces Design for Additive Manufacturing (DFAM) principles.

Polynomial Approximation: Stability and Error Analysis

Explores challenges in polynomial approximation, stability issues, and error analysis in numerical differentiation.

Thomas algorithm, accuracy of direct methods

Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.

Numerical Differentiation

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

Concept of Stability in ODEs

Explores stability in ODEs, including error checks, equilibrium points, and global attractors, with a focus on numerical schemes like Euler's method.

Numerical Methods: Exercises

Covers exercises related to numerical methods, focusing on computational algorithms and problem-solving strategies.

Nonlinear Equations: Representation of Real Numbers

Discusses the representation of real numbers in various bases and the implications of floating-point arithmetic.

Taylor Polynomials: Approximating Functions in Multiple Variables

Covers Taylor polynomials and their role in approximating functions in multiple variables.