Solving Ordinary Differential Equations in Python

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Focusing on the foundations of modern solvers for ordinary differential equations (ODEs), this volume provides essential insights into mathematical modeling and computational science. It emphasizes the importance of selecting the appropriate solver for specific ODE problems, detailing the widely used Runge-Kutta methods along with both explicit and implicit approaches. The book also covers error control and automatic time step selection, featuring implementations as a Python class hierarchy to aid students and researchers in understanding and applying these methods effectively.