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Numerics: semester project

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Related lectures (39)

Iterative Methods for Nonlinear Equations Log in to Mediaspace to watch this video

Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.

Iterative Methods for Linear Equations Log in to Mediaspace to watch this video

Covers iterative methods for solving linear equations and analyzing convergence, including error control and positive definite matrices.

Composite Formulas Analysis Log in to Mediaspace to watch this video

Discusses the analysis of composite numerical integration formulas and their convergence, stability, and error characteristics.

Error Estimation in Numerical Methods Log in to Mediaspace to watch this video

Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.

Root Finding Methods: Bisection and Secant Techniques Log in to Mediaspace to watch this video

Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.

Numerical Methods: Bisection and Multidimensional Arrays Log in to Mediaspace to watch this video

Discusses the bisection method for solving nonlinear equations and its implementation using Python with NumPy and Matplotlib.

Numerical Methods in Physics Log in to Mediaspace to watch this video

Covers numerical methods in physics, focusing on solving complex problems and understanding limitations.

Lagrange Interpolation: Numerical Integration Techniques Log in to Mediaspace to watch this video

Covers Lagrange interpolation and its application in numerical integration techniques, focusing on both non-composite and composite methods of quadrature.

Streamline Diffusion: Fully Consistent Methods Log in to Mediaspace to watch this video

Explores streamline diffusion and emphasizes fully consistent numerical methods.

Calculus of Variations and Euler's Elastica Log in to Mediaspace to watch this video

Explores variational methods, Euler's Elastica, numerical and analytical methods, and the buckling of slender structures.

Continuity and Galerkin Method Log in to Mediaspace to watch this video

Introduces continuity in function spaces and the Galerkin method for solving boundary value problems.

Monte Carlo Simulations Log in to Mediaspace to watch this video

Covers Monte Carlo simulations, ensemble properties, and numerical integration techniques.

Integration Techniques: Fundamental Theorems and Methods Log in to Mediaspace to watch this video

Discusses integration techniques, focusing on integration by parts and substitution methods, with practical examples and theoretical insights.

Optimal Power Flow and Chebyshev Introduction Log in to Mediaspace to watch this video

Covers Optimal Power Flow solutions, SDP, Chebyshev's inequality, and probability distributions.

Internal Heat Transfer Effects Log in to Mediaspace to watch this video

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Laplace Transform: Solving Differential Equations Log in to Mediaspace to watch this video

Discusses the application of the Laplace transform to solve differential equations and explores its properties and examples.

Linear Systems: Richardson's Method Log in to Mediaspace to watch this video

Covers Richardson's method for solving linear equations and its applications in system solutions and error control.

Transformations and Inversions: Laplace and Fourier Log in to Mediaspace to watch this video

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.

Laplace Approximation: Integral Estimation Log in to Mediaspace to watch this video

Explores Laplace approximation for integral estimation using smooth convex functions and Gaussian distribution.

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