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Lecture
Nonlinear Systems of Equations
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Related lectures (27)
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Vectorization in Python: Efficient Computation with Numpy
Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Higher Order Methods: Iterative Techniques
Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.
Implicit Methods: Retrograde Euler
Covers the retrograde Euler method, an implicit numerical scheme used to solve equations and the concept of convergence order.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Numerical Analysis: Introduction to Computational Methods
Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.
Nonlinear Equations: Fixed Point Method
Covers the topic of nonlinear equations and the fixed point method.
Numerical Analysis: Linear Systems
Covers the analysis of linear systems, focusing on methods such as Jacobi and Richardson for solving linear equations.
Newton's Method: Convergence and Applications
Covers the convergence of Newton's method and its applications in numerical analysis.
Jacobi Method: Part I
Introduces the Jacobi method for solving linear systems by iteratively updating the diagonal elements of a matrix.