Round-off error

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Related lectures (30)

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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.

Ordinary Differential Equations: Error Analysis

Explores error analysis in ordinary differential equations and convergence criteria for numerical methods.

Floating Point Representation: Consequences for Programming

Explores the consequences of floating-point representation errors in programming, emphasizing precision and computational costs.

Introduction to Numerical Analysis

Covers the basics of numerical analysis, including adaptive feature computation, residual analysis, and the importance of well-posed problems.

Numerical Derivatives: Finite Central Differences (2)

Explores the accuracy of central finite difference formulas for derivatives.

Numerical Derivatives: Finite Difference Formulas

Analyzes the error in numerical derivatives using finite difference formulas.

Numerical Differentiation

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

Floating Point Numbers: LU Decomposition and Errors

Explores floating point numbers, LU decomposition, errors, and matrix properties.

Floating Point Numbers: Representation and Errors

Explores the representation of floating point numbers and the importance of error analysis.

Nonlinear Equations: Representation of Real Numbers

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