Methods for solving symmetric indefinite systems are surveyed including a new one which is stable and almost as fast as the Cholesky method. Journal Information SIAM Journal on Numerical Analysis ...

We compare the Ostrowski efficiency of some methods for solving systems of nonlinear equations without explicitly using derivatives. The methods considered include the discrete Newton method, ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Solving Linear Systems (SymPy) Most linear algebra courses start by considering how to solve a system of linear equations.

APPM 5460 Methods in Applied Mathematics: Dynamical Systems and Differential Equations Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ...