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Beylkin, Gregory Professor

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Research

research overview

  • Gregory Beylkin's research is focused on analysis and development of fast algorithms for solving integral and differential equations. Applications include quantum chemistry, gravity field evaluation and estimation, wave propagation and inverse problems. A number of algorithms developed by Gregory Beylkin and his group have been implemented and are used in practical applications.

keywords

  • numerical analysis, harmonic analysis, wavelets, signal processing, wave propagation, inverse problems

Publications

selected publications

Teaching

courses taught

  • APPM 3310 - Matrix Methods and Applications
    Primary Instructor - Fall 2019
    Introduces linear algebra and matrices with an emphasis on applications, including methods to solve systems of linear algebraic and linear ordinary differential equations. Discusses vector space concepts, decomposition theorems, and eigenvalue problems. Degree credit not granted for this course and MATH 2130 and MATH 2135.
  • APPM 5610 - Numerical Analysis 2
    Primary Instructor - Spring 2018 / Spring 2020
    Numerical linear algebra, eigenvalue problems, optimization problems, and ordinary and partial differential equations. Department enforced prerequisite: APPM 5600 or MATH 5600.
  • APPM 7400 - Topics in Applied Mathematics
    Primary Instructor - Fall 2019
    Provides a vehicle for the development and presentation of new topics with the potential of being incorporated into the core courses in applied mathematics. May be repeated up to 6 total credit hours.
  • MATH 5610 - Numerical Analysis 2
    Primary Instructor - Spring 2018 / Spring 2020
    Solution of linear systems, eigenvalue problems, optimization problems, and ordinary and partial differential equations. Department enforced prerequisite: MATH 5600 or APPM 5600. Instructor consent required for undergraduates.

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