Lectures related to Integral equation

Generalized Integrals: Definition and Applications

Covers the definition and applications of generalized integrals in advanced analysis, including real functions, differential equations, and multiple integrals.

Online Lecturing: Integral Equations and Laplace Transform Methods

Explores integral equations, Laplace transform methods, and problem-solving techniques.

Nonlinear Equations: Fixed Point Method

Covers the topic of nonlinear equations and the fixed point method.

Conformal Ward Identities

Covers the stress tensor, Weyl invariance, and the integral form of conformal Ward identities.

Angle Calculation on Regular Surfaces

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.

Green's Functions in Laplace Equations

Covers the concept of Green's functions in Laplace equations and their solution construction process.

Principal Value of an Integral: Examples

Covers examples of principal value of an integral with sin functions and singularities.

Dirac Delta Function

Introduces the Dirac delta function and discusses its properties and applications in signal processing and physics.

Rounding the relaxation: Max Sum Diversification

Explores rounding the relaxation and Max Sum Diversification, discussing effects, integral solutions, and loss bounds.

Linear Hatching Systems: Unique Solutions and Norm Introduction

Explores linear hatching systems, unique solutions, norms, and fixed points in linear systems.

Green's Theorem: Understanding Rotations and Closed Paths

Explores Green's Theorem, rotations, closed paths, and integral signs.

Conduction Heat Transfer: Formulations and Theorems

Explores the strong and integral formulations of conduction heat transfer in 2D media, along with weak formulations and boundary conditions.

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Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

First-Order Linear Equations: Existence Theorems and Solutions

Explores first-order linear equations, existence theorems, and integral solutions in differential equations.

Information Recovery in the Main Land

Covers mathematical methods for information recovery in a main land.

Nonlinear Equations: Convergence and Taylor Polynomials

Explores nonlinear equations, emphasizing convergence and Taylor polynomials for function approximation.

Integral: Motivation

Covers the motivation behind indefinite integrals and the non-injectivity of the derivative operator.

Radiation Impedance of Piston on Screen

Explores the radiation impedance of a piston on a screen using COMSOL Multiphysics, focusing on resistance, mass, and impedance expressions.

Ordinary Differential Equations: Basics

Introduces the basics of ordinary differential equations, exploring global solutions, uniqueness, higher dimensions, Lipschitz functions, and finding solutions.