Mathematical Theory |
R. Bellman |
Stability Theory of Differential Equations |
Dover, 1969. |
W.A. Coppel |
Stability and Asymptotic Behaviour of Differential Equations |
Heath Math. Monographs, Boston, 1965 |
Numerical Methods |
L.F. Shampine, I. Gladwell and S. Thompson |
Solving ODEs with MATLAB |
Cambridge University Press, Cambridge, 2003 |
K. Soetaert, J. Cash and F. Mazzia |
Solving Differential Equations in R |
Springer Verlag, Berlin, 2012, (available as an online book) |
J.C. Butcher |
Numerical Methods for Ordinary Differential Equations |
Wiley, London, 2003 |
E. Hairer, S.P. Norsett and G. Wanner |
Solving Ordinary Differential Equations I -- Nonstiff Problems |
Springer Verlag, Berlin, 1987 |
E. Hairer and G. Wanner |
Solving Ordinary Differential Equations II -- Stiff and Differential--
Algebraic Problems |
Springer Verlag, Berlin, 1991 |
K. Brenan, S. Campbell and L. Petzold |
Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations |
SIAM, Philadelphia, second edition, 1996 |
J.D. Lambert |
Numerical Methods for Ordinary Differential Systems |
Wiley, New York, 1991 |
C.W. Gear |
Numerical Initial Value Problems in ODEs |
Prentice Hall, Englewood Cliffs, 1971 |
H.J. Stetter |
Analysis of Discretization Methods for ODEs |
Springer Verlag, Berlin, 1973 |
L.F. Shampine and M.K. Gordon |
Computer Solution of ODEs. The Initial Value Problem |
W.H. Freeman and Co., San Francisco, 1975 |
P. Henrici |
Discrete Variable Methods of Ordinary Differential Equations |
Wiley, New York, 1962 |
L.F. Shampine |
Numerical Solution of Ordinary Differential Equations |
Chapman and Hall, New York, 1994 |