|Present||Assistant Professor, Mathematical Sciences, Michigan Technological University|
|May 2008||Ph.D., University of Colorado Boulder ‐ Department of Applied Mathematics|
|May 2005||M.S., University of Colorado at Boulder ‐ Department of Applied Mathematics|
|May 2002||B.S. Applied Mathematics, Metropolitan State College ‐ Department of Mathematical and Computer Sciences|
Department of Mathematical Sciences
Michigan Technological University
1400 Townsend Drive
Houghton, MI 49931
Fractional Diffusion (4)
A Chebyshev pseudo-spectral method to solve the space-time tempered fractional ...
Society for International and Applied Mathematics Journal on Scientific Computing (2014)
The tempered fractional diffusion equation is a generalization of the standard fractional diffusion equation that includes the truncation effects inherent ...
A Novel Radial Basis Functions Method for Solving Fractional Diffusion ...
Society for International and Applied Mathematics Annual Meeting (2013)
Diffusion processes in complex systems are often observed to deviate from standard laws and are poorly represented by second-order diffusion ...
Numerical solution of the space-time fractional diffusion equation: Alternatives to ...
5th IFAC Symposium on Fractional Differentiation and Its Applications (2012)
One of the ongoing issues with fractional-order diffusion models is the design of efficient numerical schemes for the space and ...
Orthogonal Gradients Method (1)
Radial Basis Functions (9)
A Radial basis function based frames strategy for bypassing the ...
Society for International and Applied Mathematics Journal on Scientific Computing (2016)
Similarly to polynomials, smooth radial basis function (RBF) interpolants converge exponentially fast to analytic functions on a one dimensional bounded ...
An RBF-based frames strategy for bypassing the Runge Phenomenon
Society for International and Applied Mathematics Conference on Computational Science (2015)
Approximating nonperiodic analytic functions with spectral accuracy is not an easy task. RBFs, just like polynomials and other pseudospectral methods, ...
A stable algorithm for flat radial basis functions on a ...
Society for International and Applied Mathematics Journal on Scientific Computing (2007)
When radial basis functions (RBFs) are made increasingly flat, the interpolation error typically decreases steadily until some point when Runge-type ...
Locality properties of radial basis function expansion coefficients for equispaced ...
Institute of Mathematics & its Applicatins Journal of Numerical Analysis (2007)
Many types of radial basis functions (RBFs) are global in terms of having large magnitude across the entire domain. Yet, ...