Numerical Methods Courses and Certifications

Prof. Ryan C. Cooper

ME3255 - Euler Integration and Solving Numerical Problems

Explore Euler integration and numerical problem-solving techniques for engineering applications. Enhance computational skills and mathematical understanding.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Numerical Methods for Quasi-Stationary Distributions

Explore numerical techniques for calculating quasi-stationary distributions in complex systems, enhancing understanding of long-term behavior in stochastic processes.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Fields Institute

Exponential Expression Rates for Neural Operator Approximation to Solution Operators of FBSDEs

Explore exponential expression rates in neural operator approximations for FBSDE solution operators, advancing mathematical finance understanding.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Conservative Adaptive Rank Integrators for Nonlinear Kinetic Models

Explore low-rank time integrators for PDEs, including explicit and implicit schemes, with applications to Vlasov, heat, Fokker-Planck, and advection-diffusion equations.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Solving High-Dimensional Optimal Control Problems with Empirical Tensor Train Approximation

Explore innovative approaches to solve high-dimensional optimal control problems using Tensor Train approximation, with applications to destabilized viscous Burgers and diffusion equations.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Simons Institute

Instance Optimal Iterative Methods for Matrix Function Approximation

Explores instance-optimality of Lanczos method for matrix function approximation, extending conjugate gradient analysis to rational and other function classes. Discusses recent progress and open questions.

• YouTube
• 32 minutes
• On-Demand
• Free Video

BSS Physics School

Numerical Methods and Quantum Many-Body Dynamics I - July 4

Explore numerical methods and quantum many-body dynamics with Frank Pollmann. Gain insights into advanced physics concepts and computational techniques for studying complex quantum systems.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

FDTD: Materials and Boundary Conditions - PML Theory Summary

Explore PML theory in FDTD simulations for materials and boundary conditions. Learn key concepts and applications in electromagnetic modeling.

• YouTube
• 16 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Finite Difference Time Domain Methods: 2D FDTD Formulation and Time Stepping

Explore 2D FDTD formulation and time stepping in finite difference time domain methods. Master advanced computational techniques for electromagnetic simulations.

• YouTube
• 18 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

FDTD: Materials and Boundary Conditions - Absorbing Boundary Conditions in 2D

Explore absorbing boundary conditions in 2D for FDTD simulations of materials, enhancing understanding of electromagnetic wave propagation and computational techniques.

• YouTube
• 13 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

FDTD: Materials and Boundary Conditions - Failure of ABC

Explore FDTD simulation limitations in absorbing boundary conditions. Gain insights into material interactions and electromagnetic wave behavior in computational electromagnetics.

• YouTube
• 18 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

FDTD: Materials and Boundary Conditions - Implementing PML into FDTD - Part 2

Implement PML into FDTD with advanced techniques for materials and boundary conditions. Enhance electromagnetic simulation accuracy and efficiency.

• YouTube
• 18 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

FDTD: Materials and Boundary Conditions - Implementing PML into FDTD - Part 1

Explore implementing Perfectly Matched Layer (PML) boundary conditions in Finite-Difference Time-Domain (FDTD) simulations for electromagnetic wave propagation modeling.

• YouTube
• 11 minutes
• On-Demand
• Free Video

Conference GSI

Multisymplectic Unscented Kalman Filter for Geometrically Exact Beams

Explore advanced filtering techniques for geometrically exact beam models using multisymplectic unscented Kalman filters in structural engineering applications.

• YouTube
• 16 minutes
• On-Demand
• Free Video

BIMSA

Approximation of Non-Linear Hyperbolic Problems and Conservation Properties

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.

• YouTube
• 48 minutes
• On-Demand
• Free Video