LeVeque has authored several textbooks and monographs:

*Finite Volume Methods for Hyperbolic Problems*, Cambridge University Press (2002). ISBN 0521009243
*Numerical Methods for Conservation Laws*, 2nd ed., Birkhäuser Basel (2005). ISBN 3764327235
*Computational Methods for Astrophysical Fluid Flow*, Springer (1998). ISBN 3540644482
*Finite Difference Methods for Ordinary and Partial Differential Equations, Steady State and Time Dependent Problems*, SIAM (2007). ISBN 978-0-898716-29-0