The Divergence Theorem for Vector Fields - Applications and Generalizations
Explore the divergence theorem's applications in PDEs, geometry, physics, and engineering, including proofs of Archimedean principle and multidimensional Pythagorean theorem.
Classical and New Perspectives on Resurgence Theory
Explore classical and modern approaches to resurgence theory, gaining insights into its mathematical foundations and recent developments.
Implementation of Hybridizable Discontinuous Galerkin Methods - MFEM Workshop 2023
Explore advancements in hybridizable discontinuous Galerkin methods for high-order finite element calculations, featuring flexible implementations for diverse PDEs and applications.
Age of Infection Disease Modeling: From Kermack and McKendrick to Multi-Compartment Models
Explore the evolution of infectious disease modeling, from early Kermack-McKendrick theories to modern multi-compartment approaches, enhancing understanding of epidemiological dynamics.
Level Set Shape Optimization on Aggregated Polytopic Meshes
Explore level set shape optimization using polytopic meshes and Discontinuous Galerkin methods for improved boundary tracking and computational efficiency in structural optimization.
Michaelis-Menten Kinetics and Singular Perturbation Methods in Mathematical Oncology
Explore Michaelis-Menten kinetics and singular perturbation methods in mathematical oncology, enhancing understanding of enzyme-substrate interactions and complex systems.
What Mathematical Models Can and Cannot Tell Us About the Spread of Infectious Diseases - Lecture 2
Explore mathematical modeling in disease spread: capabilities, limitations, and insights for understanding epidemic dynamics and informing public health strategies.
Convergent Evolving Surface Finite Element Algorithms for Geometric Evolution Equations
Explore convergent evolving surface finite element algorithms for geometric evolution equations, presented by Prof. Christian Lubich from University of Tübingen.
A Mathematical Model of TCR-T Cell Therapy for Cervical Cancer
Explore a mathematical model for TCR-T cell therapy in cervical cancer treatment, focusing on its applications and implications in oncology research.
Properties of Chaotic Systems for Audio
Explore chaotic systems for audio generation and transformation. Learn about fixed points, bifurcation, and practical applications with interactive visualizations and code examples.
2D Finite Element Method - Radiation Boundary Condition
Explore radiation boundary conditions in 2D finite element methods. Learn key concepts and applications for advanced numerical analysis in electromagnetic simulations.
Introduction to the Finite Element Method - Basic Framework of FEM
Explore the fundamental concepts and framework of the Finite Element Method (FEM) in this introductory video lecture.
1D Finite Element Method: Wave Equation Basis and Testing Functions - Lecture 1
Explore basis and testing functions for 1D Finite Element Method in solving the 1D Wave Equation, enhancing understanding of numerical methods in computational physics.
Introduction to the Finite Element Method: 1D Basis Functions
Explore 1D basis functions in finite element method. Learn key concepts and applications for numerical analysis and engineering problem-solving.
1D Finite Element Method - 1D Wave Equation: Boundary Conditions
Explore boundary conditions for 1D wave equation using finite element method. Gain insights into solving complex mathematical problems in engineering and physics.
2D Finite Element Method: Shape Functions for 2D FEM
Explore 2D FEM shape functions in finite element analysis. Learn key concepts and applications for solving complex engineering problems.
1D Finite Element Method: Weak Form of 1D-FEM - Part 2
Explore advanced concepts of the weak form in 1D Finite Element Method, building on previous knowledge to deepen understanding of this numerical analysis technique.
1D Finite Element Method: Weak Form of 1D-FEM - Part 1
Explore the weak form of 1D Finite Element Method in this concise tutorial, focusing on fundamental concepts and practical applications in numerical analysis.
Introduction to the Finite Element Method: 2D Basis Functions
Explore 2D basis functions in finite element method. Learn key concepts and applications for advanced numerical analysis and engineering problem-solving.
2D Finite Element Method - Summary of FEM Procedure
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.
1D Finite Element Method: Matrix Assembly for 1D Wave Equation
Explore matrix assembly techniques for the 1D Finite Element Method applied to the 1D Wave Equation, enhancing understanding of numerical solutions in computational physics.