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Wolfram Colloquium Series Numerical Methods for PDEs and Finite Element Method FEM
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=svtuoyi3DNw
Physics and math experts explain research on numerical solutions to and applications of partial differential equations (PDEs). Model fluid dynamics, quantum mechanics, hydrodynamics, heat transfer, solid mechanics, hyperelasticity and friction with the researchers. • Learn about recent work done in the area of numerical methods for PDEs. Application areas include materials science, hyperelasticity, heat transfer, multi-physics models, fluid dynamics, hydrodynamics, atomic force microscopy and Bohmian quantum mechanics. An additional presentation on new tools for finite element methods (FEM) in Wolfram Language is also included. • Presenters: • Chen Wang, Ph.D. Candidate, College of Hydrology and Water Resources at Hohai University • Henrique Santos Lima, Researcher at the Brazilian Center for Research in Physics • Huilong Ren, Research Assistant, Institute of Photonics at Leibniz Universität Hannover • John G. Michopoulos, Principal Scientist for the Computational Multiphysics Systems Lab at the Naval Research Laboratory, Washington DC • Matheus Paixão, Researcher at the Brazilian Center for Research in Physics • Oleksii Semenov, Researcher at the E. O. Paton Electric Welding Institute of the NASU, Kyiv, Ukraine, Dept. of Gas Discharge Physics and Plasma Devices • Oliver Ruebenkoenig, Numerical Computation Manager, Wolfram Research • Rhameez Sheldon Herbst, Senior Lecturer in Mathematics and Applied Mathematics at the University of Johannesburg • Wei Wu, Research Fellow, Department of Physics and Astronomy at University College London • Yury Vetyukov, Professor of Mechanics of Solids at the Institute of Mechanics and Mechatronics, Technische Universität Wien in Vienna, Austria • For more information on the finite element method, visit: • https://wolfram.com/language/core-are... • 0:00 Introduction • 0:54 PDE Models Overview and New in Version 14 (Oliver Ruebenkoenig) • 18:11 Quantitative Evaluation of SPH in TIG Spot Welding (Oleksii Semenov) • 39:16 Statics and Dynamics of Thin Eleastic Plates and Rods Using Wolfram Mathematica (Yury Vetyukov) • 58:34 Algebraic Abstractions and Categorical Meta-computing for Directly Computable Multiphysics Models (John G. Michopoulos) • 1:24:49 Two-Phase Flow with Mathematica: From Analytical Structure to Numerical Solution (Rhameez Sheldon Herbst) • 1:43:17 Simulating the Friction between Atomic Layers by Using a Two-q Model: Analysis of the Relative Motion and Coherence (Wei Wu) • 1:32:54 Nonlocal Operator Method: An Integral Approach for Solving PDEs (Huilong Ren) • 2:09:18 Numerical Validation of Ehrenfest Theorem in a Bohmian Perspective for Non-conservative Systems (Matheus Paixão and Henrique Santos Lima) • 2:32:24 New Approach for Simulating Aquifer Test with No Parameter Correlation and Low Computation Cost (Chen Wang) • 2:43:29 Event Closing • #wolfram #research #physics #quantum #fluiddynamics #partialdifferentialequation #hydrodynamics #modeling #numericalsolution #numericalmethods
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