000			00469nam a2200145Ia 4500
999			_c170262 _d170262
020			_a9780857291479
040			_cCUS
082			_a515.352 _bDAV/N
100			_aGriffiths, David F.
245		0	_aNumerical methods for ordinary differential equations: initial value problems/ _cDavid F. Griffiths and Desmond J. Higham
260			_aNew York: _bSpringer, _c2010.
300			_ax, 271 p. : _bill. ; _c24 cm.
440			_a(Springer undergraduate mathematics series)
505			_aODEs: 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.
650			_aDifferential equations
650			_aInitial value problems
650			_aNumerical analysis
650			_aElectronic data processing
650			_aMathematics
700			_aHigham, Desmond J.
942			_cWB16