Numerical DEs

MA 448 Numerical Solution of Differential Equations 3 Credits (3,0)

Numerical techniques for solving differential equations: initial value problem, Taylor series methods, Runge-Kutta methods and multistep methods; boundary value problem, shooting method; partial differential equations, finite difference method for the heat equation and wave equation. Efficient computational procedures, including the use of library and student-written procedures in Matlab/C/Fortran/Python.

Runge-Kutta methods.

Presentation can be accessed here: pdf

Euler

Code for Euler’s method can be found here: Jupyter notebook, Python code or html version.

RK2

Code for RK2 method can be found here: Jupyter notebook, Python code or html version.

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Alexander Chernyavsky
Visiting Assistant Professor

My research interests include mathematical physics, in particular solitary waves and their stability.