Concept

Numerical integration

Related lectures (25)

Quadrature Formulas: Newton-Cotes, Lagrange Polynomials, Simpson Rule

Covers quadrature formulas, Lagrange polynomials, and the Simpson rule for accurate integration.

Nonlinear Geometric Transformation: Analysis and Approximations

Explores nonlinear geometric transformations in structural engineering, emphasizing accurate integration methods and practical applications.

Numerical Derivation: Formulas and Approaches

Covers the numerical approach to derivative calculation, focusing on formulas and methods such as fine differences.

Numerical Differentiation and Integration

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Interpolatory Quadrature Formulas

Covers interpolatory quadrature formulas for approximating definite integrals using polynomials and discusses the uniqueness of solutions and practical applications in numerical integration.

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Numerical Differentiation: Methods and Errors

Explores numerical differentiation methods and round-off errors in computer computations.

Numerical Integration: Lagrange Interpolation, Simpson Rules

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

Numerical Methods in Biomechanics: Hip-A

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Numerical Integration: Composite Formulas

Explores numerical integration through composite formulas, accuracy estimation, and error evaluation in integration methods.

Numerical Modelling of the Atmosphere

Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.

Numerical Integration: Legendre Polynomials

Explores Legendre polynomials and their role in numerical integration techniques.

Numerical Integration: Romberg Integration

Explores Romberg integration to improve numerical integration accuracy through iterative refinement of estimates.

Numerical Methods: Euler and Crank-Nicolson

Covers Euler and Crank-Nicolson methods for solving differential equations.

Numerical Methods: Iterative Techniques

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Monte Carlo Simulations

Covers Monte Carlo simulations, ensemble properties, and numerical integration techniques.

Numerical Integration: Newton-Cotes Integration

Covers Newton-Cotes integration, Trapezoid rule, Simpson rules, and numerical quadrature conditioning.

Quadrature Formulas: Numerical Integration

Covers the concept of numerical integration using quadrature formulas.

Numerical Integration: Basics

Covers digital integration, interpolation polynomials, and integration formulas with error analysis.

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.