Bengt Fornberg

Professor of Applied MathematicsUniversity of Colorado

Regular mail:  
University of Colorado
Department of Applied Mathematics, 526 UCB
Boulder , CO 80309

Tel:        303-4925915

Faculty member, Center for Research on Training,
University of Colorado

Research interests:

My main research interests are in developing, analyzing, and implementing numerical methods, in particular for solving PDEs to high orders of accuracy. Such methods include pseudospectral and high accuracy finite difference methods and, in particular, methods based on radial basis functions (RBFs). The main application areas include computational fluid dynamics, geophysical and astrophysical flows, different types of wave phenomena, and seismic exploration.

Some former Ph.D. students 

Michelle Ghrist   Assoc. Prof. at USAF Academy, Colorado Springs, CO.
    Thesis: High-Order Finite Difference Methods for Wave Equations
Grady Wright   Assoc. Prof. at Boise State University
    Thesis: Radial Basis Function Interpolation: Numerical and Analytical Developments
Julia Zuev

   Adjunct Lecturer at Santa Clara University, Santa Clara, CA. 
    Thesis: Recent Advances in Numerical PDEs
Cecile Piret

  Assist. Prof. Michigan Technological University, Houghton, MI.
    Thesis: Analytical and Numerical Advances in Radial Basis Functions
Jonah Reeger

  Assist. Prof. Air Force Institute of Technology, Wright-Patterson AFB, OH.  
    Thesis: A Computational Study of the Fourth Painlevé Equation and a Discussion of Adams Predictor-Corrector methods

Some present collaborators 

Natasha Flyer   Scientist III at NCAR, Boulder
Amik St-Cyr   Scientist at Royal Dutch Shell, Rijswijk, Holland
B.C. Low   Senior Scientist at NCAR, Boulder
Elisabeth Larsson   Researcher  at Uppsala University
André Weideman   Prof. at Stellenbosch University
Erik Lehto   Post Doc at KTH (Royal Institute of Technology), Stockholm.

Recent honors

2014       Fellow of SIAM (Society for Industrial and Applied Mathematics)
2014       University of Colorado Boulder Faculty Assembly Award for Excellence in Research, Scholarly and Creative Work.


Recent papers:

For the actually published articles, please refer directly to the respective journals. In many cases, the links below lead to earlier manuscript versions than those actually published. When the links below lead to the published version, please use the file only in ways that are consistent with relevant copyright regulations. 

A few less recent papers: