|Bradley K. Alpert|
|Institutions||National Institute of Standards and Technology|
|Alma mater||University of Illinois at Urbana-Champaign (B.S.), University of Chicago (S.M.), Yale University (Ph.D.)|
|Notable awards||Flemming Award, Bronze Medal of the U.S. Department of Commerce|
Bradley K. Alpert is a computational scientist at NIST. He is probably best known for co-developing fast spherical filters. His fast spherical filters were (and remain) critical in the construction of the most efficient three-dimensional fast multipole methods (FMMs) for solving the Helmholtz equation and Maxwell's equations. Other well-known work of his includes contributions to computational methods for time-domain wave propagation, quadratures for singular integrals, and multiwavelets.
Alpert was awarded the 2006 Flemming Award for his work on spherical filters and his other contributions to scientific computing. He was awarded a Bronze Medal from the U.S. Department of Commerce in 1997 for joint work on processing antenna measurements corrupted by errors in the positions of probes.
Alpert received his Ph.D from Yale University in 1990, under the supervision of Vladimir Rokhlin. Alpert worked as a casualty actuary early in his career, and was a Hans Lewy postdoctoral fellow at Lawrence Berkeley National Laboratory and U.C. Berkeley.
- Ruediger Jakob-Chien and Bradley K. Alpert, "A Fast Spherical Filter with Uniform Resolution," Journal of Computational Physics, Vol. 136, pp. 580-584, 1997.
- Bradley K. Alpert, Leslie Greengard, and Thomas Hagstrom, "Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation," Journal of Computational Physics, Vol. 180, pp. 270-296, 2002.
- Bradley K. Alpert, Leslie Greengard, and Thomas Hagstrom, "Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation," SIAM Journal on Numerical Analysis, Vol. 37, pp. 1138-1164, 2000.
- Bradley K. Alpert, Leslie Greengard, and Thomas Hagstrom, "An Integral Evolution Formula for the Wave Equation," Journal of Computational Physics, Vol. 162, pp. 536-543, 2000.
- Bradley K. Alpert, "High-Order Quadratures for Integral Operators with Singular Kernels," Journal of Computational and Applied Mathematics, Vol. 60, pp. 367-378, 1995.
- Bradley K. Alpert, "Hybrid Gauss-Trapezoidal Quadrature Rules," SIAM Journal on Scientific Computing, Vol. 20, pp. 1551-1584, 1999.
- Selected publications
- Alpert receives 2006 Flemming Award
- Department of Commerce medal awards and NIST awards
- Bradley Alpert at the Mathematics Genealogy Project
- Dylan F. Williams, Bradley K. Alpert, Uwe Arz, David K. Walker, and Hartmut Grabinski, "Causal characteristic impedance of planar transmission lines," IEEE Transactions on Advanced Packaging, Vol. 26, pp. 165-171, 2003. (See the biographies at the end.)
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