Multivariate interpolation | Surfaces | Elliptic partial differential equations

PDE surface

PDE surfaces are used in geometric modelling and computer graphics for creating smooth surfaces conforming to a given boundary configuration. PDE surfaces use partial differential equations to generate a surface which usually satisfy a mathematical boundary value problem. PDE surfaces were first introduced into the area of geometric modelling and computer graphics by two British mathematicians, Malcolm Bloor and Michael Wilson. (Wikipedia).

Video thumbnail

Fourier Transform Technique for Solving PDEs (Part 2)

In this video, we study how to solve a PDE (the 1-dimensional Heat Equation) using the Fourier Transform technique.

From playlist Mathematical Physics II Uploads

Video thumbnail

Lecture 11.1 Partial Differential Equations

We introduce Partial Differential Equations (PDEs) and describe how to categorise them. We then discuss two methods that can be used to solve PDEs in certain situations : partial integration and D'Alembert's solution.

From playlist MATH2018 Engineering Mathematics 2D

Video thumbnail

What is a PDE ?

Introduction to Partial Differential Equations Welcome to the wonderful world of PDE! In this video, I define the notion of a Partial Differential Equation, and give a couple of examples and applications. Enjoy! Check out my PDE playlist: https://www.youtube.com/playlist?list=PLJb1qA

From playlist Partial Differential Equations

Video thumbnail

PDE 1 | Introduction

An introduction to partial differential equations. PDE playlist: http://www.youtube.com/view_play_list?p=F6061160B55B0203 Part 1 topics: -- what is a partial differential equation -- examples of solutions (4:42) -- ODE versus PDE (10:35)

From playlist Mathematical Physics II - Youtube

Video thumbnail

How to solve PDE via change of co-ordinates

Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to solve PDE with constant coefficients via a change of co-ordinates. An example is discussed and solved.

From playlist Partial differential equations

Video thumbnail

How to solve PDE via change of variables

Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to solve PDE via change of variables.

From playlist Partial differential equations

Video thumbnail

How to factor and solve the wave equation (PDE)

Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to solve second order PDE using factoring methods. We solve a range of examples.

From playlist Partial differential equations

Video thumbnail

Example of how to solve PDE via change of variables

Free ebook https://bookboon.com/en/partial-differential-equations-ebook An example showing how to solve PDE via change of variables.

From playlist Partial differential equations

Video thumbnail

How to solve PDE via method of characteristics

Free ebook https://bookboon.com/en/partial-differential-equations-ebook Basic example showing how to solve PDE via method of characteristics. A general first order problem is solved with a concrete example discussed at the end. The ideas can be used to solve many kinds of first order par

From playlist Differential equations

Video thumbnail

Method of Characteristics: How to solve PDE

Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to solve PDE via the method of characteristics. An example involving a semi linear PDE is presented, plus we discuss why the ideas work. Such a technique is used in solving a wide range of problems.

From playlist Partial differential equations

Video thumbnail

Anthony Yezzi: "Accelerated Optimization in the PDE Framework"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop II: PDE and Inverse Problem Methods in Machine Learning "Accelerated Optimization in the PDE Framework" Anthony Yezzi - Georgia Institute of Technology Institute for Pure and Applied Mathematics, UCLA April 22, 2020 For more informatio

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

Video thumbnail

Elliptic PDE (Connor Mooney) | Ep. 7

Connor Mooney is an Assistant Professor of mathematics at UC Irvine and an expert in partial differential equations. We talk about his work and what it means to study PDE in the 21st century. 0:00 Connor's academic background 7:06 What is a PDE? (Heat equation, Einstein equation) 17:30 W

From playlist Daniel Rubin Show, Full episodes

Video thumbnail

Modeling Structural Mechanics

Solid mechanics deals with the deformation of objects under applied forces. This talk will describe how to create solid mechanics models in the Wolfram Language. The resulting partial differential equations (PDEs) can be solved numerically using NDSolve and NDEigensystem. Techniques will b

From playlist Wolfram Technology Conference 2021

Video thumbnail

How to Construct Topological Invariants via Decompositions and the Symplectic Category - Wehrheim

Katrin Wehrheim Massachusetts Institute of Technology; Institute for Advanced Study October 17, 2011 A Lagrangian correspondence is a Lagrangian submanifold in the product of two symplectic manifolds. This generalizes the notion of a symplectomorphism and was introduced by Weinstein in an

From playlist Mathematics

Video thumbnail

Financial Options Theory with Mathematica -- American Options

In my fourth session of my Financial Options Theory with Mathematica track I introduce the American Options. The right to exercise the option before the expiration (and not just *at* expiration) brings with it a whole slew of new pricing challenges. I introduce the Linear Complementarity P

From playlist Financial Options Theory with Mathematica

Video thumbnail

Wolfram Physics Project: Solving the Einstein Equations & Other PDEs Tuesday, Mar. 9, 2021

This is a Wolfram Physics Project working session on solving the Einstein equations and other PDE's in the Wolfram Model. Begins at 1:18 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check ou

From playlist Wolfram Physics Project Livestream Archive

Video thumbnail

The Vortex Ansatz as a Fertile Testing Ground for Certain Systems of PDEs by Vamsi Pingali

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie

From playlist Vortex Moduli - 2023

Video thumbnail

Alice Chang: Conformal Geometry on 4-manifolds

Abstract: In this talk, I will report on the study of integral conformal invariants on 4-manifolds and applications to the study of topology and diffeomorphism type of a class of 4-manifolds. The key ingredient is the study of the integral of 2 of the Schouten tensor which is the part of i

From playlist Abel in... [Lectures]

Video thumbnail

How to solve the transport equation (PDE)

Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to solve the transport equation, which is an important partial differential equation (PDE) used in modelling. Examples are seen in other videos.

From playlist Partial differential equations

Video thumbnail

Monte Carlo Geometry Processing

Project Page: http://www.cs.cmu.edu/~kmcrane/Projects/MonteCarloGeometryProcessing/index.html

From playlist Research

Related pages

Thin plate energy functional | Parameter | Biharmonic equation | Cartesian coordinate system | Elliptic operator | Euler–Lagrange equation | Boundary value problem