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This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations.
Professor Taketomo Mitsui is currently Professor Emeritus at Nagoya University.Professor Guang-Da Hu is a professor at Department of Mathematics, Shanghai University.
Chapter 1. Introduction.- Chapter 2. Initial-value Problems.- Chapter 3. Runge-Kutta Methods for ODEs.- Chapter 4. Polynomial Interpolation.- Chapter 5. Linear Multistep Methods for ODEs.- Chapter 6. Analytical Theory of Delay Differential Equations.- Chapter 7. Numerical DDEs and Their Stability.- Bibliography.- References.