Heat Kernel and Gaussian Analysis

Related lectures (30)

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Explores the Newton method for systems and fixed point iterations, discussing convergence and properties.

Explores the convergence of fixed point methods and the implications of different convergence rates.

Explores the convergence analysis of Newton's method for solving nonlinear equations, discussing linear and quadratic convergence properties.

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.

Covers the numerical approximation of PDEs and examples of nonlinear behavior.

Covers the parabolic heat equation in two dimensions and its numerical solution methods.

Covers the definitions of convergent and divergent series and explores the harmonic series and alternating series.

Covers Newton's method conditions and convergence, extension to multiple variables, and linear models.

Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.

Covers the fixed point method for solving nonlinear equations and discusses convergence properties.