Institute for Pure & Applied Mathematics (IPAM) Courses

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 11 minutes
• Self-Paced
• Free Video

DFT for Electrochemistry

Explore density functional theory applications in electrochemical systems through advanced computational modeling techniques and stochastic interaction approaches.

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

An Experimentalist's View of Stochasticity in Electrochemistry

Explore stochastic phenomena in electrochemical systems from an experimental perspective, bridging atomistic to continuum scales in this UCLA research presentation.

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

Bridging Scales Using Physically-Informed Machine Learning

Explore the SPIDER framework for inferring interpretable continuum models through physically-informed machine learning, with applications to fluid turbulence and molecular gas systems.

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

Bridging Scales in Materials Modeling with Atomistic Simulations, Information Theory, and Generative Models

Explore advanced techniques for bridging scales in materials modeling using atomistic simulations, information theory, and generative models in electrochemical systems.

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

Transport- and Measure-Theoretic Approaches for Modeling, Identifying, and Forecasting Dynamical Systems

Discover the Distributional Koopman Operator for analyzing random dynamical systems using probability distributions instead of particle tracking in electrochemical modeling.

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

Modeling Electrochemical Reaction Rates at Fluid-Solid Interfaces

Explore advanced electrochemical reaction rate modeling beyond Butler-Volmer, featuring MHC variants and Julia-based software for multidimensional phase mapping at extreme conditions.

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

Algorithmic Differentiation for Plane-Wave Density Functional Theory

Discover algorithmic differentiation techniques for plane-wave density-functional theory, combining AD and DFPT for material inverse design and uncertainty propagation.

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

Unified Quantum Theory of Electrochemical Kinetics by Coupled Ion-Electron Transfer

Explore a groundbreaking quantum theory unifying electrochemical kinetics through coupled ion-electron transfer, bridging quantum chemistry with battery and electrocatalysis applications.

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

Energy-Stable Machine-Learning Model of Non-Newtonian Hydrodynamics with Molecular Fidelity

Discover energy-stable ML models for non-Newtonian fluid dynamics that preserve physical constraints while bridging molecular and continuum scales through variational structures.

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

Continuum Scale Electrolyte Simulations Based on Finite Volume Methods

Discover finite volume methods for continuum-scale electrolyte simulations in electrochemical systems, bridging atomistic and continuum modeling approaches.

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

Hybrid Density-Potential Functional Approach to Bridge Atomistic Scale and Continuum

Explore hybrid density-potential functional theory for bridging atomistic to continuum scales in electrochemical systems, addressing electronic orbital challenges.

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

Continuum Thermodynamic Models for Electrochemical Interfaces

Explore continuum thermodynamic models for electrochemical interfaces, covering space charge layers, surface adsorption, charge transfer reactions, and scale bridging approaches.

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

Weak Form SciML for Learning Models on Different Scales

Discover weak form Scientific Machine Learning techniques for creating interpretable mathematical models across different scales from data without forward-solve discretizations.

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

Dendrite Formation in Batteries - Dead Lithium and Thermodiffusion

Explore advanced phase field modeling for lithium battery dendrite formation, dead lithium mechanisms, and thermal gradient effects on electrochemical microstructure evolution.

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