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NPTEL

Computational Fluid Dynamics

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This course provides an introduction to Computational Fluid Dynamics (CFD) with an emphasis on the fundamental principles that govern the implementation of CFD in practical applications.
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43 Lesons
1 day 18 hours
On-Demand
Free-Video
NPTEL

Computational Fluid Dynamics

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Comprehensive exploration of computational fluid dynamics, covering mathematical foundations, discretization methods, and numerical techniques for solving fluid flow problems.
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61 Lesons
1 day 7 hours
On-Demand
Free-Video
NPTEL

Computational Fluid Dynamics

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This course looks at all the aspects theoretical, numerical, and application aspects of computational fluid dynamics. Computational fluid dynamics (CFD) has become an essential tool in the analysis and design of thermal and fluid flow systems in a wide r…
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43 Lesons
1 day 13 hours
On-Demand
Free-Video
Inside Livermore Lab

New Avenues in Computational Fluid Dynamics

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Explore cutting-edge developments in high-order spectral element solvers for computational fluid dynamics, including multiphysics simulations and machine learning integration.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
The Julia Programming Language

Finite Element Modeling of Magnetic Fields in Julia

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Explore finite element modeling of magnetic fields using Julia in this TU Delft master course. Implement mathematical models and collaborate on real-world projects with industry partners.
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1 Lesons
30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Machine Learning to Enhance Numerical PDE Simulations

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Explore machine learning techniques to enhance numerical PDE simulations, focusing on acceleration, surrogate modeling, and improved physical representation for complex physics and engineering systems.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
CIMPA UCR

New Banach Spaces-Based Fully-Mixed Finite Element Methods for Pseudostress-Assisted Diffusion

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Explora nuevos métodos de elementos finitos mixtos para difusión asistida por pseudoestrés, basados en espacios de Banach.
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1 Lesons
25 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 22

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Aprofunde-se em métodos numéricos avançados para equações diferenciais parciais, explorando técnicas e aplicações em nível de doutorado.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 21

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Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Convergence in Hölder and Sobolev Norms for Galerkin Approximations of Generalized Whittle-Matern Fields

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Optimal convergence rates for Galerkin approximations of generalized Whittle-Matern fields in Hölder and Sobolev norms, covering spectral and finite element methods for Gaussian random fields.
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8 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Two-Scale FEMs for Non-Variational Elliptic PDEs

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Explore advanced finite element methods for non-variational elliptic PDEs, focusing on two-scale approaches, monotonicity enforcement, and novel error estimation techniques for complex mathematical problems.
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1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Combined Arbitrary Lagrangian-Eulerian Approach and Adaptive Remeshing Technique for the Finite

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Explore advanced numerical methods combining ALE approach and adaptive remeshing for finite element simulations, enhancing accuracy and efficiency in complex engineering problems.
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1 Lesons
47 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Multiscale Hybrid Mixed Finite Element Method for Polygonal Meshes

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Explores Multiscale Hybrid Mixed method for polygonal meshes, discussing upscaling, flux reconstruction, and a new variant with elliptic problems. Covers applications and collaborations in computational mathematics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Multiscale Approximations for the Stationary Ginzburg-Landau Equation

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Explores discrete minimizers of Ginzburg-Landau energy in finite element spaces, focusing on parameter κ's influence on vortex lattices and mesh resolution conditions for accurate numerical simulations.
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1 Lesons
44 minutes
On-Demand
Free-Video
nanohubtechtalks

Microstructure Modeling with OOF2 and OOF3D - Interactive Finite Element Analysis for Materials Science

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Explore microstructure modeling using OOF2 and OOF3D. Learn to assign material properties, construct finite-element meshes, and perform virtual experiments to investigate structure-property relationships.
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26 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Inside Livermore Lab

Data-Driven Discontinuous Galerkin FEM via Reduced Order Modeling and Domain Decomposition

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Explore scalable component reduced order modeling for efficient large-scale simulations, combining Discontinuous Galerkin Domain Decomposition and proper orthogonal decomposition to accelerate scientific technology transition.
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1 Lesons
54 minutes
On-Demand
Free-Video
Inside Livermore Lab

A Full-Wave Electromagnetic Simulator for Frequency-Domain S-Parameter Calculations

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Explore an open-source electromagnetic simulator for S-parameter calculations, featuring adaptive mesh refinement, arbitrary order finite elements, and parallel processing using MFEM.
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1 Lesons
57 minutes
On-Demand
Free-Video
Inside Livermore Lab

High Order Positivity-Preserving Entropy Stable Discontinuous Galerkin Discretizations

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Explore high order discontinuous Galerkin methods for nonlinear conservation laws, focusing on entropy stability and positivity preservation in numerical solutions.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Inside Livermore Lab

Homogenized Energy Theory for Solution of Elasticity Problems - MFEM Workshop 2023

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Explore homogenized energy theory for solving elasticity problems, addressing limitations in classical continuum mechanics and offering insights into size effects and stress singularities.
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1 Lesons
21 minutes
On-Demand
Free-Video
Inside Livermore Lab

Implementation of Hybridizable Discontinuous Galerkin Methods - MFEM Workshop 2023

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Explore advancements in hybridizable discontinuous Galerkin methods for high-order finite element calculations, featuring flexible implementations for diverse PDEs and applications.
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1 Lesons
23 minutes
On-Demand
Free-Video
Inside Livermore Lab

MFEM Workshop 2023 - Recent Developments in Modular Finite Element Methods

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Explore recent advancements in MFEM, including GPU optimizations, new mini-apps, and integrations with scientific software libraries for high-order finite element calculations.
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1 Lesons
28 minutes
On-Demand
Free-Video
Inside Livermore Lab

Deterministic Transport MFEM-Miniapp - MFEM Workshop 2023

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Explore high-order phase-space simulations for Boltzmann transport using MFEM's new multidimensional discretization, enhancing fusion energy experiment modeling.
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1 Lesons
30 minutes
On-Demand
Free-Video
Inside Livermore Lab

Contact Constraint Enforcement Using the Tribol Interface Physics Library - MFEM Workshop 2023

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Explore contact constraint enforcement in scientific simulations using Tribol, an open-source library for MFEM. Learn about MPI parallel implementation, Lagrangian methods, and integration with MFEM-based codes.
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1 Lesons
27 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Numerical Approximation of the Stochastic Total Variation Flow

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Explore numerical schemes for simulating stochastic total variation flow, including convergence analysis and applications in image denoising.
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1 Lesons
43 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Level Set Shape Optimization on Aggregated Polytopic Meshes

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Explore level set shape optimization using polytopic meshes and Discontinuous Galerkin methods for improved boundary tracking and computational efficiency in structural optimization.
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1 Lesons
26 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Convergent Evolving Surface Finite Element Algorithms for Geometric Evolution Equations

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Explore convergent evolving surface finite element algorithms for geometric evolution equations, presented by Prof. Christian Lubich from University of Tübingen.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

2D Finite Element Method - Radiation Boundary Condition

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Explore radiation boundary conditions in 2D finite element methods. Learn key concepts and applications for advanced numerical analysis in electromagnetic simulations.
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1 Lesons
23 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to the Finite Element Method - Basic Framework of FEM

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Explore the fundamental concepts and framework of the Finite Element Method (FEM) in this introductory video lecture.
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1 Lesons
25 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

1D Finite Element Method: Wave Equation Basis and Testing Functions - Lecture 1

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Explore basis and testing functions for 1D Finite Element Method in solving the 1D Wave Equation, enhancing understanding of numerical methods in computational physics.
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1 Lesons
29 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

FEM and Constitutive Modelling in Geomechanics

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Explore advanced techniques in finite element method and constitutive modeling for geomechanics applications, enhancing your understanding of soil and rock behavior.
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1 Lesons
46 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

2D Finite Element Method: Matrix Assembly - Part 1

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Explore matrix assembly techniques for 2D Finite Element Method, focusing on fundamental concepts and practical applications in numerical analysis.
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1 Lesons
16 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to the Finite Element Method: 1D Basis Functions

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Explore 1D basis functions in finite element method. Learn key concepts and applications for numerical analysis and engineering problem-solving.
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1 Lesons
12 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

1D Finite Element Method - 1D Wave Equation: Boundary Conditions

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Explore boundary conditions for 1D wave equation using finite element method. Gain insights into solving complex mathematical problems in engineering and physics.
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1 Lesons
11 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

2D Finite Element Method: Shape Functions for 2D FEM

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Explore 2D FEM shape functions in finite element analysis. Learn key concepts and applications for solving complex engineering problems.
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1 Lesons
19 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

1D Finite Element Method: Weak Form of 1D-FEM - Part 2

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Explore advanced concepts of the weak form in 1D Finite Element Method, building on previous knowledge to deepen understanding of this numerical analysis technique.
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1 Lesons
10 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Applications of Computational Electromagnetics: Finite Element-Boundary Integral - Part 2

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Explore advanced finite element-boundary integral techniques in computational electromagnetics, focusing on practical applications and problem-solving strategies.
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1 Lesons
12 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

1D Finite Element Method: Weak Form of 1D-FEM - Part 1

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Explore the weak form of 1D Finite Element Method in this concise tutorial, focusing on fundamental concepts and practical applications in numerical analysis.
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1 Lesons
19 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to the Finite Element Method: 2D Basis Functions

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Explore 2D basis functions in finite element method. Learn key concepts and applications for advanced numerical analysis and engineering problem-solving.
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1 Lesons
20 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

2D Finite Element Method - Summary of FEM Procedure

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Explore the 2D Finite Element Method procedure, covering key steps and applications in engineering analysis. Gain insights into this powerful numerical technique for solving complex problems.
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1 Lesons
14 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

1D Finite Element Method: Matrix Assembly for 1D Wave Equation

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Explore matrix assembly techniques for the 1D Finite Element Method applied to the 1D Wave Equation, enhancing understanding of numerical solutions in computational physics.
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1 Lesons
14 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Applications of Computational Electromagnetics: Finite Element-Boundary Integral - Part 3

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Explore advanced finite element-boundary integral techniques in computational electromagnetics, focusing on practical applications and problem-solving strategies.
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1 Lesons
19 minutes
On-Demand
Free-Video
NHR@FAU

High-Performance Implementations for High-Order Finite-Element Discretizations of PDEs

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Explore matrix-free finite-element algorithms for solving PDEs, focusing on high-performance implementations and recent developments in performance engineering for complex geometries.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Inside Livermore Lab

MFEM: High-Performance Finite Element Methods Tutorial - 2024

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Explore MFEM, a parallel C++ library for finite element methods. Learn to develop scalable algorithms for various platforms, from laptops to supercomputers.
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1 Lesons
1 hour 57 minutes
On-Demand
Free-Video
Inside Livermore Lab

Numerical Solvers for Viscous Contact Problems in Glaciology

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Explore numerical solvers for viscous contact problems in glaciology, focusing on ice flow modeling, subglacial cavities, and marine ice sheet dynamics. Overcome computational challenges in Stokes equations.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

A Nonlinear Least-squares Finite Element Method for the Monge-Ampere Equation

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Explore a nonlinear least-squares finite element method for solving the Monge-Ampere equation, focusing on smooth convex solutions and innovative degrees of freedom.
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1 Lesons
51 minutes
On-Demand
Free-Video
Wolfram

Modeling Hyperelastic Material Using Finite Element Method

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Explore finite element methods for hyperelastic materials, covering PDE models, large deformations, and multiphysics coupling in solid mechanics.
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1 Lesons
21 minutes
On-Demand
Free-Video
Inside Livermore Lab

A Data-Driven Finite Element Exterior Calculus

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Explore data-driven finite element exterior calculus for developing reduced-order models of multiphysics systems, combining machine learning with traditional finite element methods for robust surrogate modeling.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Inside Livermore Lab

LAGHOST: Development of Lagrangian High-Order Solver for Tectonics

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Explore LAGHOST, a Lagrangian high-order solver for tectonic simulations. Learn about its features, benchmarks, and applications in modeling geological processes like normal fault evolution.
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1 Lesons
46 minutes
On-Demand
Free-Video
Inside Livermore Lab

Continuous Interior Penalty Method Framework for 6th Order Cahn-Hilliard Equations

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Explore unconditionally stable numerical methods for sixth-order Cahn-Hilliard equations, focusing on crystal growth and microemulsion systems. Gain insights into complex physical phenomena modeling.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Inside Livermore Lab

FSSpMDM - Accelerating Small Sparse Matrix Multiplications by Run-Time Code Generation

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Explore code generation strategies for accelerating small sparse matrix multiplications in high-order finite element solvers, focusing on performant operator kernels for prismatic and hexahedral elements.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Inside Livermore Lab

Using High-Order Element-based Galerkin Methods to Capture Hurricane Intensification

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Explore high-order element-based Galerkin methods for capturing hurricane intensification, including multirate time integration and multi-modeling frameworks for improved atmospheric modeling.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Inside Livermore Lab

Full Envelope DPG Approximation for Electromagnetic Waveguides

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Explore advanced finite element analysis for electromagnetic waveguides, focusing on stability and convergence of full envelope DPG approximation in optical amplifier simulations.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Inside Livermore Lab

The Netgen/NGSolve Finite Element Software - Overview and Applications

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Explore Netgen/NGSolve finite element software: overview, Python scripting, teaching applications, and recent developments in matrix-valued elements, GPU utilization, and time-dependent problems.
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12 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Inside Livermore Lab

Computing Meets Cardiology: Making Heart Simulations Fast and Accurate

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Explore advanced computational techniques for simulating heart function, focusing on efficient ECG calculations and electromechanical models using MFEM for improved cardiac disease understanding and treatment.
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1 Lesons
58 minutes
On-Demand
Free-Video
Inside Livermore Lab

Computation and Reduced Order Modelling of Periodic Flows

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Explore efficient computation and reduced order modeling techniques for periodic flows using MFEM, focusing on space-time domain solutions and hyper-reduced POD Galerkin models.
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1 Lesons
20 minutes
On-Demand
Free-Video
Inside Livermore Lab

MFEM Workshop 2022 - Wrap-Up and Simulation Contest Winners

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Explore MFEM Workshop 2022 highlights, including simulation contest winners showcasing advanced scientific visualizations in epilepsy research, heat sink optimization, and electromagnetic field modeling.
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9 Lesons
13 minutes
On-Demand
Free-Video
Inside Livermore Lab

MFEM in the Cloud: AWS Tutorial for Scalable Finite Element Applications

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Learn to use MFEM in the cloud for scalable finite element discretization application development with step-by-step instructions and hands-on demonstration.
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1 Lesons
14 minutes
On-Demand
Free-Video
Inside Livermore Lab

Accelerated Deployment of MFEM Based Solvers in Large Scale Industrial Problems

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Explore MFEM-based Minerva platform for industrial-scale simulations, integrating with commercial software and enhancing solver capabilities for large-scale design and optimization problems.
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13 Lesons
18 minutes
On-Demand
Free-Video
Inside Livermore Lab

MFEM Application to EM-Wave Simulation in ECR Space Plasma Thrusters

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Explore EM-wave simulation in ECR space plasma thrusters using MFEM. Learn about Maxwell equations, cold-plasma approximation, and finite element discretization for space propulsion applications.
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5 Lesons
19 minutes
On-Demand
Free-Video
Inside Livermore Lab

MFEM Workshop 2022 - Welcome and Overview

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Explore MFEM's high-order mathematical calculations for scientific simulations, community updates, and development roadmap in this workshop overview.
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5 Lesons
11 minutes
On-Demand
Free-Video
Inside Livermore Lab

The State of MFEM - Workshop 2022

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Explore MFEM's high-order mathematical calculations for scientific simulations, including key capabilities, examples, and future plans. Learn about the project's growth and recent software release.
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10 Lesons
16 minutes
On-Demand
Free-Video
Inside Livermore Lab

Empowering MFEM Using libCEED - MFEM Workshop 2023

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Explore MFEM's enhanced capabilities through libCEED integration, including support for simplices, mixed meshes, and p-adaptivity. Discover performance gains across various HPC architectures.
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1 Lesons
35 minutes
On-Demand
Free-Video
Inside Livermore Lab

Scalable Design and Optimization with MFEM

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Explore scalable design and optimization using MFEM for large-scale scientific simulations. Learn about topology and shape optimization algorithms, gradient-based techniques, and implementation strategies for industrial problems.
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1 Lesons
22 minutes
On-Demand
Free-Video
Inside Livermore Lab

MFEM Workshop 2023 - Student Lightning Talks Part 1

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Explore cutting-edge finite element research through student presentations on topics like µFEA, entropy stabilization, Maxwell's equations, and thermo-mechanical solves using MFEM.
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1 Lesons
28 minutes
On-Demand
Free-Video
Inside Livermore Lab

MFEM Workshop 2023 - Student Lightning Talks Part 2

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Explore cutting-edge research in high-order mathematical calculations for scientific simulations through student presentations on neural networks, GPU acceleration, and Monte Carlo methods.
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1 Lesons
25 minutes
On-Demand
Free-Video
Inside Livermore Lab

Palace: Parallel Large-scale Computational Electromagnetics - MFEM Workshop 2023

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Explore Palace, a parallel finite element code for full-wave electromagnetics simulations, and its capabilities for large-scale 3D modeling in quantum computing hardware design.
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1 Lesons
22 minutes
On-Demand
Free-Video
Inside Livermore Lab

The State of MFEM - Workshop 2023

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Explore MFEM's key capabilities, recent developments, and future directions in high-order finite element methods for scientific simulations.
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1 Lesons
24 minutes
On-Demand
Free-Video
Inside Livermore Lab

Superior Discretizations and AMG Solvers for Anisotropic Diffusion via Hyperbolic Operators

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Explore novel approaches to discretization and AMG solvers for extremely anisotropic diffusion problems, focusing on hyperbolic operator techniques for improved accuracy and efficiency in complex heat conduction scenarios.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Inside Livermore Lab

Bayesian Inversion of an Acoustic-Gravity Model for Predictive Tsunami Simulation

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Explore Bayesian inversion of acoustic-gravity models for predictive tsunami simulation, focusing on real-time monitoring and early-alert systems using near-field data observation.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Inside Livermore Lab

An Efficient and Effective FEM Solver for Diffusion Equation with Strong Anisotropy

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Explore an efficient discontinuous Galerkin scheme with auxiliary space preconditioning for solving diffusion equations with strong anisotropy, focusing on magnetic confinement fusion applications.
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1 Lesons
48 minutes
On-Demand
Free-Video
Inside Livermore Lab

High-Order Solvers and GPU Acceleration for MFEM - Workshop 2022

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Explore high-order finite element methods, GPU acceleration, and matrix-free solvers for scientific simulations using MFEM. Learn about low-order-refined preconditioning and adaptive mesh refinement.
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1 Lesons
25 minutes
On-Demand
Free-Video
Inside Livermore Lab

OpenParEM2D: A Free, Open-Source Electromagnetic Simulator for 2D Waveguides and Transmission Lines

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Explore OpenParEM2D, a free 2D electromagnetic simulator for guided waves and transmission lines. Learn its capabilities, methodology, and applications in this insightful presentation.
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14 Lesons
20 minutes
On-Demand
Free-Video
Inside Livermore Lab

Recent Developments in MFEM - Workshop 2022

0 rewiews
Explore recent developments in MFEM, including sub-mesh extraction, GPU-based calculations, and integrations with scientific software libraries for high-order finite element simulations.
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9 Lesons
28 minutes
On-Demand
Free-Video
Inside Livermore Lab

BlastFEM: GPU-Accelerated, High-Performance, Energy-Efficient Solver for Highly Compressible Flows

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Explore GPU-accelerated solver for highly compressible flows, enhancing efficiency in scientific simulations across various applications. Learn about blastFEM's capabilities for next-generation computational modeling.
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1 Lesons
20 minutes
On-Demand
Free-Video
Inside Livermore Lab

Reduced Order Modeling for Finite Element Simulations with MFEM and libROM

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Explore reduced order modeling techniques for finite element simulations using MFEM and libROM. Learn to lower computational complexity while maintaining accuracy in various scientific applications.
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8 Lesons
20 minutes
On-Demand
Free-Video
Inside Livermore Lab

Shape and Topology Optimization Powered by MFEM - Workshop 2022

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Explore shape and topology optimization using MFEM and LiDO for high-order calculations in scientific simulations, featuring multi-material geometries and HPC-powered design tools.
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1 Lesons
21 minutes
On-Demand
Free-Video
Inside Livermore Lab

The Development of the EM RF-Edge Interactions Mini-App Stix Using MFEM

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Explore electromagnetic RF-edge interactions in fusion devices using MFEM. Develop a parallelized cold-plasma wave equation solver with non-linear sheath impedance boundary conditions for accurate simulations.
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5 Lesons
21 minutes
On-Demand
Free-Video
Inside Livermore Lab

Rodin: Density and Topology Optimization Framework - MFEM Workshop 2022

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Explore Rodin, a C++17 framework for shape, density, and topology optimization. Learn its functionalities, from refining shapes to solving variational problems in scientific simulations.
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16 Lesons
22 minutes
On-Demand
Free-Video
Inside Livermore Lab

Solution of the Electroencephalography Forward Problem Using MFEM - Workshop 2022

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Explore high-order mathematical calculations for EEG source localization using MFEM. Learn to solve the EEG forward problem with patient-specific geometry and tissue conductivity from medical images.
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14 Lesons
23 minutes
On-Demand
Free-Video
Inside Livermore Lab

Finite Element Algorithms and Research Topics in ALE Hydrodynamics

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Explore high-order finite element methods for shock hydrodynamics simulations, covering Lagrangian mechanics, mesh optimization, and remap phases in ALE formulation.
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29 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Inside Livermore Lab

FEniCSx: Design of the Next Generation FEniCS Libraries for Finite Element Methods

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Explore FEniCSx, the next-gen finite element library. Learn design improvements, high-performance kernels, and flexible solver creation in C++ or Python for partial differential equations.
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29 Lesons
1 hour 6 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5

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Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

The Half-space Matching Method for Solving Scattering in Complex Media

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Explore innovative wave scattering solutions in complex media using the Half-space Matching Method, offering efficient alternatives to traditional computational techniques.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
MICDE University of Michigan

Poseidon: Efficient Foundation Models for PDEs - Tutorial 1

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Explore efficient foundation models for PDEs with Poseidon, focusing on innovative techniques and applications in computational science.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Numerical Approaches to Modelling Curved Surfaces

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Explore numerical methods for modeling curved surfaces, focusing on applications in physics and biology.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
Inside Livermore Lab

Designing Conservative and Accurately Dissipative Numerical Integrators in Time

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Explore innovative framework for structure-preserving time steppers using finite elements and auxiliary variables. Discover applications in Kepler, Kovalevskaya, Navier-Stokes, and Benjamin-Bona-Mahony problems.
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1 Lesons
56 minutes
On-Demand
Free-Video
Inside Livermore Lab

Stochastic Fractional PDEs: Random Field Generation and Topology Optimization - MFEM Workshop 2022

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Explore stochastic fractional PDEs, Gaussian random fields, and topology optimization using MFEM. Learn numerical solutions and applications in scientific simulations and additive manufacturing.
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10 Lesons
19 minutes
On-Demand
Free-Video
Wolfram

Modeling X with Partial Differential Equations

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Explore advanced PDE modeling techniques using NDSolve and finite element methods for engineering applications, including axisymmetric regions and hyperelastic solid mechanics.
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1 Lesons
28 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Solving PDEs in Domains with Complex Evolving Morphology - Rothschild Lecture

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Explore mathematical challenges in solving PDEs on evolving domains, focusing on biological applications. Learn abstract frameworks, well-posedness theory, and numerical methods for complex geometries.
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1 Lesons
1 hour 13 minutes
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Free-Video
Hausdorff Center for Mathematics

Multiscale Methods for High-Contrast Heterogeneous Sign-Changing Problems

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Explore multiscale methods for high-contrast heterogeneous sign-changing problems, focusing on CEM-GMsFEM tailored for these scenarios. Learn about numerical effectiveness and error estimation.
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1 Lesons
44 minutes
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Prof. Ryan C. Cooper

ME3255 - Linear Algebra Work for Finite Element Solutions

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Explore linear algebra techniques for solving finite element problems in engineering applications. Enhance computational skills for advanced numerical analysis.
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1 Lesons
30 minutes
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BIMSA

Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods

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Explore the connection between hybrid high-order and hybridizable discontinuous Galerkin methods for diffusion problems, unveiling new efficient approaches and optimal convergence.
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1 Lesons
51 minutes
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BIMSA

Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods

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Explore the connection between hybrid high-order and hybridizable discontinuous Galerkin methods for diffusion problems, unveiling new efficient approaches and optimal convergence.
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1 Lesons
51 minutes
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BIMSA

Approximation of Non-Linear Hyperbolic Problems and Conservation Properties

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Explore advanced numerical methods for non-linear hyperbolic problems, focusing on conservation properties and flux formulations in various schemes like finite volume and discontinuous Galerkin.
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1 Lesons
48 minutes
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Centre International de Rencontres Mathématiques

What's New in Domain Decomposition

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Explore recent advancements in domain decomposition methods for solving large-scale mathematical problems efficiently and accurately.
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1 Lesons
32 minutes
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International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 5

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Explore advanced numerical techniques in computational relativity, focusing on simulating black hole mergers and other high-energy astrophysical phenomena for gravitational-wave astronomy.
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1 Lesons
2 hours
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International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 2

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Explore advanced numerical techniques for solving Einstein's equations in computational relativity, focusing on applications in gravitational-wave astronomy and astrophysical simulations.
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1 Lesons
1 hour 37 minutes
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International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 3

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Explore advanced numerical techniques for solving Einstein's equations in computational relativity, focusing on modeling gravitational waves from merging black holes and neutron stars.
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1 Lesons
1 hour 49 minutes
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International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 4

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Explore advanced numerical techniques in computational relativity, focusing on solving Einstein's field equations for gravitational-wave astronomy and astrophysical phenomena modeling.
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1 Lesons
1 hour 27 minutes
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Hausdorff Center for Mathematics

Numerical Investigation of Vortex Formation in Bose-Einstein Condensates

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Explore numerical modeling of vortex patterns in Bose-Einstein condensates using finite elements, focusing on mesh size requirements for accurate approximations of superfluid behavior.
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1 Lesons
36 minutes
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