This work serves as an updated companion to the classic Abramowitz and Stegun handbook, focusing on the expansion of special functions into infinite series of Jacobi and Chebyshev polynomials. It provides extensive tables of numerical coefficients and Padé approximations, specifically designed to facilitate accurate function evaluation on modern high-speed computing machinery.
This textbook offers a rigorous foundation for the numerical analysis of ordinary differential equations (ODEs), aimed at graduate students in engineering and the physical sciences. It balances mathematical theory with practical algorithms, covering essential topics such as Runge-Kutta methods, multi-step formulas, and detailed stability and error analysis. The text is specifically designed to …