| Java Number Cruncher: The Java Programmer's Guide to Numerical Computing By Ronald Mak | Table of Contents | | Chapter 8. Solving Differential Equations Numerically | References Boyce, William E., and Richard C. DiPrima, Elementary Differential Equations , 2nd edition, New York: John Wiley and Sons, 1969. Some of the initial value problems used in this chapter are from this book. Chapra, Seven C., and Raymond P. Canale, Numerical Methods for Engineers , 3rd edition, New York: WCB/McGraw-Hill, 1998. Cheny, Ward, and David Kincaid, Numerical Mathematics and Computing , 4th edition, Pacific Grove, CA: Brooks/Cole, 1999. Conte, Samuel D., and Carl de Boor, Elementary Numerical Analysis: An Algorithmic Approach , New York: McGraw-Hill, 1980. Most textbooks on numerical methods discuss solving differential equations numerically, such as Chapra in Chapter 25, Cheney in Chapter 8, and Conte in Chapter 8. These books also cover other algorithms, including those for solving higher order differential equations. Chapra has an especially good discussion of the various Runge-Kutta algorithms. |