Bradley Alpert

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Bradley K. Alpert
Nationality American
Fields Computational science
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.[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]

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]


  1. ^ Ruediger Jakob-Chien and Bradley K. Alpert, "A Fast Spherical Filter with Uniform Resolution," Journal of Computational Physics, Vol. 136, pp. 580-584, 1997.
  2. ^ 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.
  3. ^ 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.
  4. ^ 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.
  5. ^ Bradley K. Alpert, "High-Order Quadratures for Integral Operators with Singular Kernels," Journal of Computational and Applied Mathematics, Vol. 60, pp. 367-378, 1995.
  6. ^ Bradley K. Alpert, "Hybrid Gauss-Trapezoidal Quadrature Rules," SIAM Journal on Scientific Computing, Vol. 20, pp. 1551-1584, 1999.
  7. ^ Selected publications
  8. ^ Alpert receives 2006 Flemming Award
  9. ^ Department of Commerce medal awards and NIST awards
  10. ^ Bradley Alpert at the Mathematics Genealogy Project
  11. ^ 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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