Textbooks

Bodenheimer, P. Numerical methods in astrophysics ISBN 0-7503-0883-4
Vesely, F. J. Computational Physics, an introduction ISBN 0-306-46631-7
Hairer,E., Lubich, C., Wanner, G. Geometric Numerical Integration ISBN 978-3540430032
Schmitt Fortran 90 ISBN 3-486-23896-5
Binney,Tremaine Galactic Dynamics ISBN 0-691-08444-0
Chapman,Jost, Van der Pas Using OpenMP ISBN 978-0-262-53302-7
Smith Numerical Solution of Partial Differential Equations ISBN 978-0-19-859650-9
Steves The restless universe ISBN 978-0-262-53302-7
Laney, C.B. Computational Gasdynamics ISBN 0-521-62558-0
Articles

Eggl,S. & Dvorak,R. An Introduction to Common Numerical Integration Codes Used in Dynamical Astronomy Lecture Notes in Physics, Volume 790, p. 431-477 (2010)
Yoshida,H. Recent Progress in the Theory and Application of Symplectic Integrators Celestial Mechanics and Dynamical Astronomy 56, p. 27-43 (1993)
Barnes, J. E. & Hut, P. Error Analysis of a Tree Code The Astrophysical Journal Supplement Series 70, p. 389-417 (1989)
Gear The numerical integration of ordinary differential equations of various orders ARGONNE NATIONAL LABORATORY (1966)
Gear The Numerical Integration of Ordinary Differential Equations Mathematics of Computation, Vol. 21, No.98., pp. 146-156 (1967)
Nordsieck On Numerical Integration of Ordinary Differential Equations Mathematics of Computation, Vol. 16, No. 77., pp 22-49 (1962)