Applied and Computational Mathematics at Boise State
The applied and computational mathematics group consists of Stephen Brill, Grady Wright, Jodi Mead, and Barbara Zubik-Kowal.
Stephen Brill's research is in the area of numerical solution of ordinary and partial differential equations, particularly those which model single- and multi-phase flow and contaminant transport in porous media. He is presently working on obtaining analytical formulas for collocation discretizations of convection-diffusion equations and studying these formulas to choose the value of free parameters so as to obtain highly accurate numerical solutions.
Grady Wright's primary interests are computational fluid dynamics with applications to biological and geophysical flows. On the biological side, he is interested in developing numerical methods for biogels, which can be modeled as a multiphase or multifluid system. On the geophysical side, he is interested in developing computational tools for atmospheric flows related to climate prediction as well as convection in the Earth's mantle. He makes use of finite difference, radial basis function, and pseudospectral methods in these models. Another area of interest is data modeling problems using RBFs. Specifically, he is interested in reconstruction and decomposition methods for vector fields.
Jodi Mead's work relates to the mathematical theory of problems from engineering and the natural sciences, including their computer solutions. This involves ordinary and partial differential equations, inverse theory, and parallel algorithms. Some specific applications she has worked on are in computational aeroacoustics, ocean modeling, near-surface geophysics and hydrology. Her work has included numerical solution of differential equations over large time and spatial scales, differential equations in Lagrangian form, and the blending of numerical solutions of mathematical models with different types of large data sets.
Barbara Zubik-Kowal is working on a variety of problems: cancer models, immune system dynamics, threshold models, dendritic and brain models, models in fluid mechanics, chaos, electromagnetics, space-time dependent NLS with memory, and others. The model problems are described by delay differential equations (DDEs) - a general class including both delay and classical ordinary and partial DEs, which depend additionally on their solutions at some past stage(s). DDEs are popular as they arise from various applications, like biology, medicine, physics, control theory, and others. Her research activities focus on predictive modeling, parallel scientific computing (delay, integro-differential and classical DEs), numerical stability, construction and implementation of novel numerical methods, and development of numerical software.
The applied and computational mathematics group consists of Stephen Brill, Grady Wright, Jodi Mead, and Barbara Zubik-Kowal.
Stephen Brill's research is in the area of numerical solution of ordinary and partial differential equations, particularly those which model single- and multi-phase flow and contaminant transport in porous media. He is presently working on obtaining analytical formulas for collocation discretizations of convection-diffusion equations and studying these formulas to choose the value of free parameters so as to obtain highly accurate numerical solutions.
Grady Wright's primary interests are computational fluid dynamics with applications to biological and geophysical flows. On the biological side, he is interested in developing numerical methods for biogels, which can be modeled as a multiphase or multifluid system. On the geophysical side, he is interested in developing computational tools for atmospheric flows related to climate prediction as well as convection in the Earth's mantle. He makes use of finite difference, radial basis function, and pseudospectral methods in these models. Another area of interest is data modeling problems using RBFs. Specifically, he is interested in reconstruction and decomposition methods for vector fields.
Jodi Mead's work relates to the mathematical theory of problems from engineering and the natural sciences, including their computer solutions. This involves ordinary and partial differential equations, inverse theory, and parallel algorithms. Some specific applications she has worked on are in computational aeroacoustics, ocean modeling, near-surface geophysics and hydrology. Her work has included numerical solution of differential equations over large time and spatial scales, differential equations in Lagrangian form, and the blending of numerical solutions of mathematical models with different types of large data sets.
Barbara Zubik-Kowal is working on a variety of problems: cancer models, immune system dynamics, threshold models, dendritic and brain models, models in fluid mechanics, chaos, electromagnetics, space-time dependent NLS with memory, and others. The model problems are described by delay differential equations (DDEs) - a general class including both delay and classical ordinary and partial DEs, which depend additionally on their solutions at some past stage(s). DDEs are popular as they arise from various applications, like biology, medicine, physics, control theory, and others. Her research activities focus on predictive modeling, parallel scientific computing (delay, integro-differential and classical DEs), numerical stability, construction and implementation of novel numerical methods, and development of numerical software.
Back to Research Areas main page
