Randall J. LeVeque is a Professor of Applied Mathematics at

University of Washington The University of Washington (UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington. Founded in 1861, Washington is one of the oldest universities on the West Coast; it was established in Seattle a ...

who works in many fields including

numerical analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of ...

computational fluid dynamics Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to analyze and solve problems that involve fluid flows. Computers are used to perform the calculations required to simulate th ...

, and mathematical theory of

conservation laws In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time. Exact conservation laws include conservation of energy, conservation of linear momentum, co ...

. Among other contributions, he is lead developer of the open source software projec
Clawpack
for solving

hyperbolic partial differential equations In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n-1 derivatives. More precisely, the Cauchy problem can be ...

using the

finite volume method The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations. In the finite volume method, volume integrals in a partial differential equation that contain a divergenc ...

. With Zhilin Li, he has also devised a numerical technique called the ''immersed interface method'' for solving problems with elastic boundaries or surface tension. He was an invited speaker at the 2006

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

held in

Madrid Madrid ( , ) is the capital and most populous city of Spain. The city has almost 3.4 million inhabitants and a metropolitan area population of approximately 6.7 million. It is the second-largest city in the European Union (EU), and ...

. He became a fellow of the

Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific socie ...

in 2010, fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in 2013, and a member of the

National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nati ...

in 2021. LeVeque is a son of the well-known mathematician William J. LeVeque.

Education and Career

LeVeque received his B.A. in mathematics from

University of California, San Diego The University of California, San Diego (UC San Diego or colloquially, UCSD) is a public university, public Land-grant university, land-grant research university in San Diego, California. Established in 1960 near the pre-existing Scripps Insti ...

in 1977. He then continued to

Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...

to get his Ph.D. in computer science in 1982. Following a postdoctoral fellowship at the

Courant Institute The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research cente ...

and the Hedrick Assistant Professorship at

University of California, Los Angeles The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California St ...

, he has been a faculty member at the

since 1985. He has advised twenty three PhD students.

Books

LeVeque has authored several textbooks and monographs: *
Finite Volume Methods for Hyperbolic Problems
', Cambridge University Press (2002). *''Numerical Methods for Conservation Laws'', 1st ed. (1992), 2nd ed., Birkhäuser Basel (2005). *''Computational Methods for Astrophysical Fluid Flow'', Springer (1998). *
Finite Difference Methods for Ordinary and Partial Differential Equations, Steady State and Time Dependent Problems
', SIAM (2007).

References

External links

* {{DEFAULTSORT:Leveque, Randall J. 20th-century American mathematicians 21st-century American mathematicians Computational fluid dynamicists University of Washington faculty University of California, San Diego alumni Stanford University alumni Fellows of the American Mathematical Society Living people Fellows of the Society for Industrial and Applied Mathematics Year of birth missing (living people)