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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.

Linear Algebra: Unitary Operators

Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.

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Sampling Algorithms for Constrained Systems

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

Periodic Table Elements and Assyr Abdulle's Contributions

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

Fourier Transform: X-ray Diffraction and Reciprocal Space

Explores reciprocal space, Bragg condition, and X-ray diffraction in crystal lattices.

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Thermodynamics and Energetics I

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

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High Order PDE-Convergence: ADI-Type Integrators

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

Eigenvalues and Eigenvectors

Covers eigenvalues and eigenvectors in linear algebra.

Quantum Mechanics: 1D Crystals

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

Stochastic Differential Equations: Mean-Field Inference

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

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.

Electron Diffraction: Basics & Applications

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

Functions: Parametric, Integrals, Multi-variable

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

Crystallography: Unit Cells, Lattices, and Reciprocal Lattice

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