Simulation of 1993 tsunami at Okushiri Island.
- Research topics
- Scientific computing and numerical analysis
- Nonlinear waves and coherent structures
- Current Projects
- Software development
- Tsunami modeling
- Volcano modeling
- Extracorporeal shock wave therapy and lithotripsy
- Solving hyperbolic problems on curved manifolds
- Cartesian grid (cut cell) method for hyperbolic problem
- Current Members
- Randy LeVeque
- Kirsten Fagnan
- Kyle Mandli
- Jihwan Kim
- Jonathan Claridge
- Grady Lemoine
- Group Focus
The LeVeque research group's research
many areas, including numerical analysis, computational fluid dynamics,
nonlinear partial differential equations, mathematical theory of conservation
laws, and software development, including the
CLAWPACK software for
solving conservation laws and other
hyperbolic systems modeling wave propagation.
It is also involved in research in many applications areas, including
astrophysics, geophysics, and biophysics.
- Recent Publications
Logically Rectangular Finite Volume Methods with
Adaptive Refinement on the Sphere
by M. J. Berger and D. A. Calhoun, and C. Helzel, and R. J. LeVeque
Phil. Trans. R. Soc. A 2009 367, 4483-4496.
CSE 2009: Python for Scientific Computing at CSE 2009
by F. Perez, H. P. Langtangen, and R. LeVeque
SIAM News 42, Number 5,
June 15, 2009.
Python Tools for Reproducible Research on Hyperbolic Problems
by R. J. LeVeque.
Science and Engineering (CiSE) 11(2009), pp. 19-27. (Special issue on
Correction to the article A comparison of the extended finite element
method with the immersed interface method for elliptic equations with
discontinuous coefficients and singular sources by Vaughan et al.
by J. T. Beale, D. L. Chopp, R. J. LeVeque, and Zhilin Li
Comm. Appl. Math. Comput. Sci. 3 (2008), pp. 95-100.