Lectures related to Iso-parametric Formulation of Quad4 Element

Isoparametric Formulation of Quad4 Element

Covers the isoparametric formulation of the Quad4 planar element and stiffness matrix calculation.

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.

Finite element methods

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Numerical Analysis: Introduction to Interpolation Techniques

Covers the basics of numerical analysis, focusing on interpolation methods and their applications in engineering.

Numerical Analysis: Interpolation and Approximation

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

Finite Element Modeling: Dynamics

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

Numerical Analysis: Jupyter Notebook Tutorial

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.

Polynomial Approximation: Stability and Error Analysis

Explores challenges in polynomial approximation, stability issues, and error analysis in numerical differentiation.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Gauss-Legendre Quadrature Formulas

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Numerical Analysis: Polynomial Interpolation Techniques

Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.

System of ODEs

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Finite Element Method

Covers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.

Finite Element Modeling

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Numerical Analysis: Advanced Topics

Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.

Numerical Integration: Lagrange Interpolation, Simpson Rules

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

Numerical Differentiation: Methods and Errors

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

Numerical Integration: Lagrange Interpolation Methods

Covers numerical integration techniques, focusing on Lagrange interpolation and various quadrature methods for approximating integrals.

Interpolation by Intervals: Lagrange Interpolation

Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

Numerical Integration: Introduction

Introduces numerical integration methods and chemical reaction kinetics principles.