TY  - BOOK
AU  - Griffiths, David F.
AU  - Higham, Desmond J.
TI  - Numerical methods for ordinary differential equations: initial value problems
SN  - 9780857291479
U1  - 515.352 
PY  - 2010///
CY  - New York
PB  - Springer
KW  - Differential equations
KW  - Initial value problems
KW  - Numerical analysis
KW  - Electronic data processing
KW  - Mathematics
N1  - ODEs: an introduction --
Euler's method --
The Taylor series method --
Linear multistep methods I --
Linear multistep methods II --
Linear multistep methods III --
Linear multistep methods IV --
Linear multistep methods V --
Runge-Kutta method I: order conditions --
Runge-Kutta methods II: absolute stability --
Adaptive step size selection --
Long-term dynamics --
Modified equations --
Geometric integration part I: invariants --
Geometric integration part II: Hamiltonian dynamics --
Stochastic differential equations --
[Appendices]. Glossary and notation --
Taylor series --
Jacobians and variational equations --
Constant-coefficient difference equations
ER  -