Numerical solution of ordinary differential equations /
Kendall E. Atkinson, Weimin Han, David Stewart.
- Hoboken, N.J. : Wiley, c2009.
- xii, 252 p. : ill. ; 25 cm.
- Pure and applied mathematics .
- Pure and applied mathematics (John Wiley & Sons : Unnumbered) .
Includes bibliographical references (p. 245-249) and index.
Theory of differential equations: an introduction -- Euler's method -- Systems of differential equations -- The backward Euler method and the trapezoidal method -- Taylor and Runge-Kutta methods -- Multistep methods -- General error analysis for multistep methods -- Stiff differential equations -- Implicit RK methods for stiff differential equations -- Differential algebraic equations -- Two-point boundary value problems -- Volterra integral equations.