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Period 5 element
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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.
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Linear Algebra: Unitary Operators
Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.
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Eigenvalues and Eigenvectors
Covers eigenvalues and eigenvectors 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.
Functions: Parametric, Integrals, Multi-variable
Covers parametric functions, integrals, and the origin of plasticity in metals.
Quantum Mechanics: 1D Crystals
Covers the quantum mechanics of 1D crystals with periodic boundary conditions.
Periodic Table Elements and Assyr Abdulle's Contributions
Explores the periodic table of elements and Assyr Abdulle's significant contributions to numerical analysis.
Sampling Algorithms for Constrained Systems
Explores sampling algorithms for constrained systems, emphasizing the work of Benedict Leimkuhler from the University of Edinburgh.
Partial Differential Equations: Reflow and Light Propagation
Explores PDEs through reflow of polymer film and light propagation in optical fibers.
Probability and Statistics
Covers mathematical concepts from number theory to probability and statistics.
Stochastic Differential Equations: Mean-Field Inference
Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.
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.
Probability Theory: Random Variables and Distributions
Introduces probability theory, random variables, and distributions, with a focus on their applications in atomic diffusion.
Atomic Structure: Chemistry and Energy of Life
Explores atomic structure, chemistry, and energy in biology, covering chemical bonds, periodic table, and hierarchical organization of matter.
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Functions: Limits and Continuity
Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.
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