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Lecture
Numerical Differentiation
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Related lectures (30)
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)
MOOC: Numerical Analysis for Engineers
Explores the accuracy of central finite difference formulas for derivatives.
Numerical Derivatives: Finite Difference Formulas
MOOC: Numerical Analysis for Engineers
Analyzes the error in numerical derivatives using finite difference formulas.
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.
Numerical Derivatives of Order 1, Rounding Errors
MOOC: Numerical Analysis for Engineers
Discusses numerical derivatives of order 1 and the effects of rounding errors on calculations.
Floating Point Numbers: LU Decomposition and Errors
Explores floating point numbers, LU decomposition, errors in numerical computations, and the impact of round-off errors.
Numerical Derivatives of Order 1
MOOC: Numerical Analysis for Engineers
Covers the concept of numerical derivatives of order 1 and the importance of choosing a small fixed value for h.
Floating Point Numbers: LU Decomposition and Errors
Explores floating point numbers, LU decomposition, errors, and matrix properties.
Explicit Stabilised Methods: Stochastic Differential Equations
Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.
Finite Difference Grids
Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.
Numerical Methods: Differential Equations and Stability Analysis
Covers numerical methods for solving differential equations and their stability analysis, focusing on error calculation and practical applications in engineering and science.
Finite Differences Method: Error Division and Schemes
MOOC: Numerical Analysis for Engineers
Covers error division and schemes for solving differential equations.
Numerical Methods: Boundary Value Problems
Explores boundary value problems, finite difference method, and Joule heating examples in 1D.
Euler Forward Method
Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.
Numerical Differentiation: Finite Differences
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Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.
Thomas algorithm, accuracy of direct methods
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Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.
Numerical Differentiation and Integration
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Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.
Consistency and Stability in Numerical Methods
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Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.
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