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Fornberg, Bengt Professor

Positions

Research Areas research areas

Research

research overview

  • Prof. Fornberg's work is focused on radial basis function (RBF) based numerical methods, applicable to a wide range of PDEs, arising for example in the geosciences and for wave propagation. He has also recently developed methods for numerical quadrature and for solving the PainlevĂ© equations.

keywords

  • numerical methods for ODEs and PDEs, quadrature, complex variables, finite differences, spectral methods, radial basis function methods, computational fluid dynamics, PainlevĂ© equations

Publications

selected publications

Teaching

courses taught

  • APPM 2360 - Introduction to Differential Equations with Linear Algebra
    Primary Instructor - Fall 2018
    Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Credit not granted for this course and both MATH 2130 and MATH 3430.
  • APPM 5610 - Numerical Analysis 2
    Primary Instructor - Spring 2019
    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 - Spring 2018
    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 2019
    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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