Institute for Pure & Applied Mathematics (IPAM) Courses

Strong Convergence for Multiplicative Brownian Motions on the General Linear Group

Explore strong convergence results for multiplicative Brownian motions on general linear groups, connecting random matrix theory with free probability through rigorous mathematical analysis.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

DFT for Electrochemistry

Discover how density functional theory applies to electrochemical systems through expert insights from Max-Planck-Institut für Eisenforschung in this comprehensive tutorial.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Modeling Electrochemistry with Continuum Non-Equilibrium Thermodynamics

Explore electrochemical system modeling using non-equilibrium thermodynamics, covering electrolytes, electrodes, interfaces, and validation with experimental data.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Molecular Level Modeling

Discover molecular-level modeling techniques for electrochemical systems, transitioning from deterministic to stochastic approaches in this advanced tutorial.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Multi-Fidelity Methods for Fusion Energy - Spring 2026 Program Overview

Discover IPAM's Spring 2026 program uniting mathematicians, physicists, and engineers to advance multi-fidelity modeling for fusion energy through four specialized workshops.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

Hands-on Tutorial - PRISMS-PF Phase Fields

Master PRISMS-PF phase field modeling through hands-on computational techniques for electrochemical systems and materials science applications.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Continuum Solvation Models for Solid-Liquid Interfaces - Theory, Assumptions, and Pathways Beyond

Explore continuum solvation models for solid-liquid interfaces, covering theoretical foundations, key assumptions, and pathways to bridge deterministic and stochastic electrochemical modeling.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Modeling Electrochemistry with Continuum Non-Equilibrium Thermodynamics

Explore electrochemical system modeling using non-equilibrium thermodynamics, covering electrolytes, electrodes, interfaces, and validation with experimental data.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Thermodynamically Consistent Finite Volume Methods for Generalized Nernst-Planck-Poisson Problems

Explore thermodynamically consistent finite volume methods for generalized Nernst-Planck-Poisson problems, covering electrolyte models, ion sizes, and Julia implementation.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Continuum Solvation Models for Solid-Liquid Interfaces - Theory, Assumptions, and Pathways Beyond

Explore continuum solvation models for solid-liquid interfaces, covering theoretical foundations, key assumptions, and pathways to bridge deterministic and stochastic electrochemical modeling.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Learning Interaction Kernels in Interacting Particle Systems

Discover advanced methods for inferring interaction laws in particle systems from observed trajectories, covering geometry's role in Euclidean spaces, manifolds, and networks.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Correlation as a Source of Stochasticity in Continuum Models

Explore how molecular correlations generate stochasticity in continuum models through BBGKY hierarchy and mean-field theory breakdown in particle interactions with dipole moments.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

The Role of Materials and Microstructures in Electrochemical Energy Storage

Explore how materials and microstructures impact battery performance, safety, and durability through advanced modeling techniques for more efficient energy storage systems.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Molecular Level Modeling

Discover molecular-level modeling techniques for electrochemical systems, transitioning from deterministic to stochastic approaches in this advanced tutorial from IPAM.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Correlation as a Source of Stochasticity in Continuum Models

Explore how molecular correlations generate stochasticity in continuum models through BBGKY hierarchy and mean-field theory, focusing on dipole interactions like water molecules.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video