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Related lectures (18)
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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.
Linear Algebra: Unitary Operators
Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.
Explicit Stabilised Methods: Stochastic Differential Equations
Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.
Periodic Orbits of Hamiltonian Systems
Covers the theory of periodic orbits of Hamiltonian systems and the Conley-Zehnder index.
Periodic Table of the Elements
Explores the periodic table of the elements, including Fe, Co, Ni, Cu, Zn, Ru, Rh, Pd, Ag, Cd, Os, Ir, Pt, Au, Hg, Ds, Rg, Uub.
Thermodynamics and Energetics I
Explores fundamental thermodynamics concepts, laws, energy transfer, and system analysis.
Doping in Semiconductors: Carrier Concentration and Ionization Energy
Discusses doping in semiconductors, focusing on carrier concentration, ionization energy, and the effects of temperature on electrical properties.
Eigenvalues and Eigenvectors
Covers eigenvalues and eigenvectors in linear algebra.
Functions: Parametric, Integrals, Multi-variable
Covers parametric functions, integrals, and the origin of plasticity in metals.
Hadamard Factorization and Zeros of Zeta
Completes the proof of Hadamard Factorization and uses it to derive an expression for the zeta function in terms of its zeros.
Chemistry of Carbon Compounds
Explores the chemistry of carbon compounds, acid-base reactions, carbon allotropes, tin allotropic forms, corrosion, and ammonia production.
Functions: Limits and Continuity
Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.
Metallic glasses: Formation and Properties
Covers the formation, properties, and behavior of metallic glasses, including the importance of rapid cooling and the mechanical properties of these unique materials.
Partial Differential Equations: Reflow and Light Propagation
Explores PDEs through reflow of polymer film and light propagation in optical fibers.
Lattices: More on Hermite's Theorem
Explores Hermite's Theorem in lattices, including Minkowski's first theorem and properties of centrally symmetric lattices.
Quantum Mechanics: 1D Crystals
Covers the quantum mechanics of 1D crystals with periodic boundary conditions.
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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