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Machine Learning for Solving PDEs: Random Feature Method

Explores the Random Feature Method for solving PDEs using machine learning algorithms to approximate high-dimensional functions efficiently.

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Computational Molecular Design: Mathematical Theory, High Performance Computing, In Vivo Experiments

Explores Computational Molecular Design, emphasizing Mathematical Theory, High Performance Computing, and In Vivo Experiments.

Thermodynamics and Energetics I

Explores fundamental thermodynamics concepts, laws, energy transfer, and system analysis.

Sampling Algorithms for Constrained Systems

Explores sampling algorithms for constrained systems, emphasizing the work of Benedict Leimkuhler from the University of Edinburgh.

Electron Diffraction: Basics and Applications

Covers the fundamentals of electron diffraction and its applications in understanding crystal structures and symmetry, including lattice vectors, lattice planes, and dark-field imaging techniques.

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Electron Diffraction: Basics & Applications

Covers the basics of electron diffraction, explaining contrast in TEM images and its applications in material analysis.

Periodic Table Elements and Assyr Abdulle's Contributions

Explores the periodic table of elements and Assyr Abdulle's significant contributions to numerical analysis.

Crystallography: Describing Periodic Structures

Covers crystallography, lattice structures, vectors, and diffraction patterns.

Linear Algebra: Subspaces and Transformations

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.

Crystallography: Unit Cells, Lattices, and Reciprocal Lattice

Introduces crystallography basics, covering unit cells, lattices, and reciprocal lattice concepts.

Reciprocal Lattice and Diffraction

Explores reciprocal lattice in 2D systems, diffraction from lattice and atomic structures, emphasizing scattering and constructive interference.

Stochastic Differential Equations: Mean-Field Inference

Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.

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Quantum Mechanics: 1D Crystals

Covers the quantum mechanics of 1D crystals with periodic boundary conditions.

High Order PDE-Convergence: ADI-Type Integrators

Covers the convergence of high-order PDEs using ADI-type integrators for parabolic problems.

Electron Diffraction: Basics & Applications

Explores electron diffraction fundamentals, crystal symmetry, and advanced techniques for materials analysis.

Functions: Parametric, Integrals, Multi-variable

Covers parametric functions, integrals, and the origin of plasticity in metals.