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Lecture
Numerical Differentiation
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Related lectures (29)
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Numerical Differentiation: Part 1
Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.
Numerical Differentiation: Backward and Central Differences
Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.
Numerical Derivatives: Finite Central Differences (2)
Explores the accuracy of central finite difference formulas for derivatives.
Numerical Differentiation: Finite Differences
Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.
Numerical Derivatives: Finite Difference Formulas
Analyzes the error in numerical derivatives using finite difference formulas.
Thomas algorithm, accuracy of direct methods
Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.
Numerical Differentiation and Integration
Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.
Consistency and Stability in Numerical Methods
Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.
Finite Differences Formulas: Error Analysis
Explores finite differences formulas, error analysis, and numerical experiments in computational mathematics.
Numerical Analysis: Advanced Topics
Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.