Bradley K. Alpert is a computational scientist at NIST. He is probably best known for co-developing fast spherical filters.[1] 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,[2][3][4] quadratures for singular integrals,[5][6] and multiwavelets.[7]
Bradley K. Alpert | |
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| Nationality | American |
| Alma mater | University of Illinois at Urbana-Champaign (B.S.), University of Chicago (S.M.), Yale University (Ph.D.) |
| Awards | Flemming Award, Bronze Medal of the U.S. Department of Commerce |
| Scientific career | |
| Fields | Computational science |
| Institutions | National Institute of Standards and Technology |
Alpert was awarded the 2006 Flemming Award for his work on spherical filters and his other contributions to scientific computing.[8] 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.[9]
Alpert received his Ph.D. from Yale University in 1990, under the supervision of Vladimir Rokhlin.[10] 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.[11]
References edit
- ^ 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.)
External links edit
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