Randall J.. LeVeque is a Professor of Applied Mathematics at University of Washington who works in many fields including numerical analysis, computational fluid dynamics, and mathematical theory of conservation laws.

[1] Among other contributions, he is lead developer of the open source software project Clawpack for solving hyperbolic partial differential equations using the finite volume method.

With Zhilin Li, he has also devised a numerical technique called the immersed interface method for solving problems with elastic boundaries or surface tension.

[2][3] He was an invited speaker at the 2006 International Congress of Mathematicians held in Madrid.

Following a postdoctoral fellowship at the Courant Institute and the Hedrick Assistant Professorship at University of California, Los Angeles, he has been a faculty member at the University of Washington since 1985.