Solving Ordinary Differential Equations I: Nonstiff Problems

The book deals with methods for solving ordinary nonstiff differential equations. This new edition contains in particular the following new material: Hamiltonian systems and symplectic Runge-Kutta methods, dense output for Runge-Kutta and extrapolation methods, a new Dormand & Prince method of order 8 with dense output, parallel Runge-Kutta methods, numerical tests for first- and second order systems. The reader will benefit from many illustrations, a historical and didactic approach, and c...