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Related lectures (24)
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.
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.
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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.
High Order PDE-Convergence: ADI-Type Integrators
Covers the convergence of high-order PDEs using ADI-type integrators for parabolic problems.
Stochastic Differential Equations: Mean-Field Inference
Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.
Linear Algebra: Subspaces and Transformations
Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.
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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Linear Algebra: Unitary Operators
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Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.
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Fourier Transform: X-ray Diffraction and Reciprocal Space
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Explores reciprocal space, Bragg condition, and X-ray diffraction in crystal lattices.
Thermodynamics and Energetics I
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Explores fundamental thermodynamics concepts, laws, energy transfer, and system analysis.
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Eigenvalues and Eigenvectors
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Covers eigenvalues and eigenvectors in linear algebra.
Quantum Mechanics: 1D Crystals
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Covers the quantum mechanics of 1D crystals with periodic boundary conditions.
Electron Diffraction: Basics & Applications
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Covers the basics of electron diffraction, explaining contrast in TEM images and its applications in material analysis.
Functions: Parametric, Integrals, Multi-variable
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Covers parametric functions, integrals, and the origin of plasticity in metals.
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