Fredholm theory | Integral equations
In mathematics, the Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators. The integral equation was studied by Ivar Fredholm. A useful method to solve such equations, the Adomian decomposition method, is due to George Adomian. (Wikipedia).
WTF is this equation? Exploring a Fredholm Integral Equation
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From playlist Integrals
A Fredholm Experience - Fredholm Integral Equation of the Second Kind
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From playlist Integrals
(4.1.4) The Fredholm Alternative
This video briefly explains the basics of the Fredholm Alternative https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
C75 Introduction to the Laplace Transform
Another method of solving differential equations is by firs transforming the equation using the Laplace transform. It is a set of instructions, just like differential and integration. In fact, a function is multiplied by e to the power negative s times t and the improper integral from ze
From playlist Differential Equations
Converting Maxwells Equations from Differential to Integral Form
In this video I show how to make use of Stokes and Divergence Theorem in order to convert between Differential and Integral form of Maxwell's equations. I also try to explain their connection to fluid dynamics, as well as motivation for each form.
From playlist Math/Derivation Videos
how to solve integral equations
Integral equation In this this video, I solve an integral equation, which is like a differential equation, but for integrals. Those have nice applications, like predator-prey models or the Lotka Volterra equation YouTube channel: https://youtube.com/drpeyam TikTok: https://www.tiktok.com
From playlist Differential equations
Illustrates the solution of an exact first-order differential equation. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf
From playlist Differential Equations with YouTube Examples
(1.1) Solutions to Differential Equations as Integrals: Form y'(x)=f(x)
This video explains how to determine solutions to differential equations in the form of y'=f(x) as definite integrals. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
In this video, I evaluate the integrals of x^x and x^(-x) from 0 to 1. Although there is no explicit formula for this integral, I will still evaluate it as a series, and the answer is very pretty! Enjoy!
From playlist Integrals
Perturbation methods for nonlinear PDEs (Lecture - 02) by Vishal Vasan
ICTS Lecture by Vishal Vasan on 1, 3, 7, & 8th May, 2019 at 11:00 AM Title : Perturbation methods for nonlinear PDEs Speaker : Vishal Vasan, ICTS – TIFR, Bangalore Date : 01/05/2019 (Lecture 1) 03/05/2019 (Lectu
From playlist Seminar Series
Perturbation methods for nonlinear PDEs (Lecture - 03) by Vishal Vasan
ICTS Lecture by Vishal Vasan on 1, 3, 7, & 8th May, 2019 at 11:00 AM Title : Perturbation methods for nonlinear PDEs Speaker : Vishal Vasan, ICTS – TIFR, Bangalore Date : 01/05/2019 (Lecture 1) 03/05/2019 (Lectu
From playlist Seminar Series
Courses - T. Sasamoto “The one-dimensional KPZ equation...
T. Sasamoto “The one-dimensional KPZ equation: its height distribution and algebraic structures” In 1986, Kardar, Parisi and Zhang introduced a non-linear stochastic PDE to describe dynamics of interface motion. This KPZ equation has been studied intensively and extensively since then, bu
From playlist T1-2015 : Disordered systems, random spatial processes and some applications
Perturbation methods for nonlinear PDEs (Lecture - 04) by Vishal Vasan
ICTS Lecture by Vishal Vasan on 1, 3, 7, & 8th May, 2019 at 11:00 AM Title : Perturbation methods for nonlinear PDEs Speaker : Vishal Vasan, ICTS – TIFR, Bangalore Date : 01/05/2019 (Lecture 1) 03/05/2019 (Lectu
From playlist Seminar Series
Christian Bär - Boundary value problems for Dirac operators
This introduction to boundary value problems for Dirac operators will not focus on analytic technicalities but rather provide a working knowledge to anyone who wants to apply the theory, i.e. in the study of positive scalar curvature. We will systematically study "elliptic boundary conditi
From playlist Not Only Scalar Curvature Seminar
Jan de Gier: "Current distribution for a two-species particle model from first principles"
Asymptotic Algebraic Combinatorics 2020 "Current distribution for a two-species particle model from first principles" Jan de Gier - University of Melbourne Abstract: We derive a joint universal KPZ current distribution from first principles in the integrable two-species Arndt-Heinzel-Rit
From playlist Asymptotic Algebraic Combinatorics 2020
Hermann Schulz-Baldes: Invariants of disordered topological insulators
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
(6.2.101) Define a Piecewise Function using Heaviside Functions (Unit Step Functions)
This video explains how to write a piecewise defined function using unit step functions or Heaviside functions. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Fredholm theory for higher...non-smooth domains - Irina Mitrea
Irina Mitrea Temple University; von Neumann Fellow, School of Mathematics April 6, 2015 One of the most effective methods for solving boundary value problems for basic elliptic equations of mathematical physics in a given domain is the method of layer potentials. Its essence is to reduce
From playlist Mathematics