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Related lectures (30)
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Numerical Integration: Quadrature Formulas
Covers numerical integration using quadrature formulas for accurate results.
Numerical Derivatives of Order 2
Covers the concept of numerical derivatives of order 2 and the error analysis involved.
Numerical Analysis: Nonlinear Equations
Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.
Boundary Problems in 1D: Finite Differences
Covers chapter 10 on boundary problems in 1D using finite difference methods.
Taylor Series: Basics
Covers Taylor series, polynomial approximations for function behavior, coefficient finding, and error estimation.
Numerical Integration: Euler Method
Covers the progressive Euler method for numerical integration of ODEs, including Cauchy problems and Runge-Kutta methods.
Explicit Runge Kulta method
Discusses the explicit Runge Kulta method for function approximation and error analysis.
Numerical Analysis: Jupyter Notebook Tutorial
Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.
Templates of (Un)stable Subbundle
Explores templates of (un)stable subbundles and the approximation of temporal-distance functions in 3-dimensional Anosov flows.
Numerical Methods: Boundary Value Problems
Explores boundary value problems, finite difference method, and Joule heating examples in 1D.