Approximation

Formal sciences
Mathematics
Analysis
Numerical analysis

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (30)

Approximations in Engineering Calculations

Explores the significance of approximations in engineering calculations, showcasing historical tools like slide rules and demonstrating approximation techniques with simple algebraic examples.

Galerkin Method: Applications and Formulation

Explores the Galerkin method's applications in solving structural problems with a focus on rigidity and forces.

Spline Interpolation: Definition and Error Analysis

Explains spline interpolation and error analysis in approximating data points using piecewise linear and spline methods.

Variational Problems: Convexity and Coercivity

Explores variational problems, emphasizing convexity and coercivity conditions in functionals with integral side constraints.

Approximation of Data

Covers the least squares method for approximating data and handling errors.

Convection Diffusion: Equations and Finite Difference Methods

Covers the convection diffusion equation and its numerical approximation methods.

Taylor's approximation: Analysis & Applications

Covers Taylor's approximation theorem, differentiability, error control, and function expansions.

Bisection Method: Example

Focuses on using the bisection method to approximate function roots with precision.

Numerical Methods: Runge-Kutta Approximation

Covers the Runge-Kutta method for approximating solutions of differential equations.

Investment Model

Covers the investment model, including steady state, budget constraints, and stable eigenvalues.

Mathematical Reminders: Derivatives, Primitives, Integrals

Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.

Numerical Approximation of ODEs

Covers the numerical approximation of ODEs using finite difference methods.

Taylor Polynomials and Approximations

Explores Taylor polynomials and approximations for various functions, emphasizing derivative equality and polynomial development around a specific point.

Numerical Approximation of Partial Differential Equations

Explores numerical methods for solving partial differential equations computationally, emphasizing their importance in predicting various phenomena.

Numerical Differentiation and Integration

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Taylor Polynomials: Examples and Convergence

Covers examples of Taylor polynomials and discusses their convergence when approximating functions.

Finite Difference Grids

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Numerical Analysis: Interpolation and Approximation

Covers linear systems, non-linear equations, and interpolation for numerical analysis.

Numerical Integration

Explores numerical integration, properties of integrals, composite formulas, and error estimation.

Runge-Kutta Methods: Approximating Differential Equations

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Page 1 of 2