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

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

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.

Untitled

Sampling Algorithms for Constrained Systems

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

Functions: Parametric, Integrals, Multi-variable

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

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.

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.

Eigenvalues and Eigenvectors

Covers eigenvalues and eigenvectors in linear algebra.

Crystal Structures: Cubic Lattices & Miller Indices

Explores cubic crystal structures, coordination numbers, and packing factors in metals and alloys.

Fourier Transform: X-ray Diffraction and Reciprocal Space

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

Periodic Table Elements and Assyr Abdulle's Contributions

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

Solid State Characterization

Covers state-of-the-art methods for solid state characterization and emphasizes choosing the appropriate method for different materials.

Crystal Structure: Real and Reciprocal Lattice

Explores crystal structure, real and reciprocal lattice, and Miller indices in the context of wave-particle duality and Schrodinger equation.

Synchrotrons and X-ray Techniques

Covers crystal diffraction basics, unit cells, lattice constants, and Miller indices.

Electron Diffraction: Basics & Applications

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