Transforms | Integrable systems | Partial differential equations | Exactly solvable models

Inverse scattering transform

In mathematics, the inverse scattering transform is a method for solving some non-linear partial differential equations. The method is a non-linear analogue, and in some sense generalization, of the Fourier transform, which itself is applied to solve many linear partial differential equations. The name "inverse scattering method" comes from the key idea of recovering the time evolution of a potential from the time evolution of its scattering data: inverse scattering refers to the problem of recovering a potential from its scattering matrix, as opposed to the direct scattering problem of finding the scattering matrix from the potential. The inverse scattering transform may be applied to many of the so-called exactly solvable models, that is to say completely integrable infinite dimensional systems. (Wikipedia).

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Differential Equations: The Inverse Laplace Transform

The final ingredient in the basic toolbox of the Laplace transform is its inverse. The inverse Laplace transform, like any inverse function, un-does a Laplace transform. In this video, I explore the inverse Laplace transform and how, for certain products of functions, partial fraction deco

From playlist Differential Equations

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Finding the inverse of a function- Free Online Tutoring

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Step by step learn how to write the inverse of a function and determine if a function or not

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Ex 1: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

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How to find the inverse of a direct variation function

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Inverse problems for transport equations (Lecture 1) by Alexandre Jollivet

DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by

From playlist Workshop on Inverse Problems and Related Topics (Online)

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Inverse problems for transport equations (Lecture 2) by Alexandre Jollivet

DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by

From playlist Workshop on Inverse Problems and Related Topics (Online)

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Inverse Laplace transform: first shifting theorem

Free ebook http://tinyurl.com/EngMathYT Basic example showing how to apply the first shifting theorem to calculate the inverse Laplace transform. Such ideas are used in solving differential equations.

From playlist Laplace transforms

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Stéphane Mallat: "Deep Generative Networks as Inverse Problems"

New Deep Learning Techniques 2018 "Deep Generative Networks as Inverse Problems" Stéphane Mallat, École Normale Supérieure Abstract: Generative Adversarial Networks and Variational Auto-Encoders provide impressive image generations from Gaussian white noise, which are not well understood

From playlist New Deep Learning Techniques 2018

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Use the inverse of a function to determine the domain and range

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Second Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, October 21, 10:00am EDT Speaker: Chang-Ock Lee, Computational Mathematics and Imaging Lab, Department of Mathematical Sciences, KAIST Title: Artifact suppression in X-ray CT images Abstract: X-ray Computed Tomography (CT) is one of the most powerful techniques for visua

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

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Geometric inverse problems (Lecture - 2) by Gunther Uhlmann

DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by

From playlist Workshop on Inverse Problems and Related Topics (Online)

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Learn step by step how to find the inverse of an equation, then determine if a function or not

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Sixteenth Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, March 3, 2021, 10:00am EDT Speaker: Simon Arridge, University College London Title: Coupled Physics Imaging with Sound and Light - Deterministic and Stochastic Approaches Abstract: Coupled Physics Imaging (CPI) refers to methods that generate contrast through one phy

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

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Stephanos Venakides: Rigorous semiclassical asymptotics for integrable systems

The title of the lecture is shortened to comply with Youtubes' title policy. The original title of this lecture is "Rigorous semiclassical asymptotics for integrable systems:The KdV and focusing NLS cases". Programme for the Abel Lectures 2005: 1. "Abstract Phragmen-Lindelöf theorem & Sa

From playlist Abel Lectures

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Generalized Radon transforms in tomography

Advanced Instructional School on Theoretical and Numerical Aspects of Inverse Problems URL: https://www.icts.res.in/program/IP2014 Dates: Monday 16 Jun, 2014 - Saturday 28 Jun, 2014 Description In Inverse Problems the goal is to determine the properties of the interior of an object from

From playlist Advanced Instructional School on Theoretical and Numerical Aspects of Inverse Problems

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Step by step algorithm for finding the inverse of a function

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Catherine Sulem: Soliton Resolution for Derivative NLS equation

Abstract: We consider the Derivative Nonlinear Schrödinger equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but exclude spectral singularities). We prove global wellposedness and give a full description of the long-time behavior of the s

From playlist Women at CIRM

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Lecture 9: Computational imaging: a survey of medical and scientific applications

MIT MAS.531 Computational Camera and Photography, Fall 2009 Instructor: Douglas Lanman (guest lecturer from Brown University) View the complete course: https://ocw.mit.edu/courses/mas-531-computational-camera-and-photography-fall-2009/ YouTube Playlist: https://www.youtube.com/playlist?li

From playlist MIT MAS.531 Computational Camera and Photography, Fall 2009

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Learn how to find inverse of a function and determine if the inverse is a function or not

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Schrödinger equation | Fourier transform | Derivative | Toda lattice | Nonlinear Schrödinger equation | Operator (mathematics) | Partial derivative | Integrable system | Ishimori equation | Lax pair | Mathematics | Function (mathematics) | Real number | Dym equation | Integral equation | Kadomtsev–Petviashvili equation | Bogomol'nyi–Prasad–Sommerfield bound | Partial differential equation | Sine-Gordon equation