Lectures related to Numerical Integration

Finite Element Method: Isoparametric Formulation

Covers the isoparametric formulation in the context of the finite element method.

Numerical Integration: Order and Convergence

Explores numerical integration order and convergence for accuracy in numerical methods.

Finite Element Method: Basics and Applications

Covers the basics of the Finite Element Method for solid and structural modeling.

Power Systems Dynamics: Transient Stability

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Numerical Differentiation and Integration

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

Molecular dynamics under constraints

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

Numerical integration: continued

Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.

Numerical Analysis: Introduction to Computational Methods

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

Numerical Integration: Basics

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

Finite Element Method: Key Concepts

Covers the key concepts behind the Finite Element Method and its applications in linear statics.

Numerical Methods: Euler and Crank-Nicolson

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

Numerical Differentiation and Integration

Covers numerical differentiation, integration, finite differences, Taylor expansions, and interpolation polynomials.

Adiabatic Reactor Design

Covers the design of adiabatic reactors with a focus on isomerization reactions and energy balance calculations.

Numerical Integration: Lagrange Interpolation, Simpson Rules

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

Beam Elements

Covers the analysis of beam elements and the importance of minimizing unnecessary precision and cost in calculations.

Monte Carlo Simulations

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

Simpson's Rule

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Monte Carlo Method: Thermal Radiation

Explores the Monte Carlo method for thermal radiation and radiative energy exchange.

Molecular Dynamics Simulations: Energy Conservation

Explores energy conservation in Hamiltonian systems, numerical integration, time step choices, and constraint algorithms in molecular dynamics simulations.

Gauss Formulas

Explains the construction and benefits of Gauss formulas for numerical integration.