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publications
Optimal runge-kutta methods for first order pseudospectral operators
Published in Journal of Computational Physics, 1999
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Stability of a pivoting strategy for parallel Gaussian elimination
Published in BIT Numerical Mathematics, 2001
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Accuracy, resolution, and stability properties of a modified Chebyshev method
Published in SIAM Journal on Scientific Computing, 2003
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Towards regional assimilation of Lagrangian data: the Lagrangian form of the shallow water model and its inverse
Published in Journal of Marine Systems, 2003
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Assimilation of simulated float data in Lagrangian coordinates
Published in Ocean Modelling, 2004
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Pseudospectral iterated method for differential equations with delay terms
Published in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2004
The shallow water equations in Lagrangian coordinates
Published in Journal of Computational Physics, 2004
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An iterated pseudospectral method for delay partial differential equations
Published in Applied Numerical Mathematics, 2005
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A priori weighting for parameter estimation
Published in Journal of Inverse and Ill-posed Problems, 2008
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A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems
Published in Inverse Problems, 2009
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Least squares problems with inequality constraints as quadratic constraints
Published in Linear Algebra and Its Applications, 2010
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Regularization parameter estimation for large-scale Tikhonov regularization using a priori information
Published in Computational Statistics and Data Analysis, 2010
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Chi-sqaured tests for the choice of the regularization parameter in nonlinear inverse problems
Published in SIAM Journal on Matrix Analysis and Applications, 2013
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Discontinuous parameter estimates with least squares estimators
Published in Applied Mathematics and Computation, 2013
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Estimating unsaturated hydraulic functions for coarse sediment from a field-scale infiltration experiment
Published in Vadose Zone Journal, 2014
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Geophysical imaging of subsurface structures with least squares estimates
Published in Inverse Problems in Science and Engineering, 2018
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Chi-squared test for total variation regularization parameter selection
Published in Inverse Problems & Imaging, 2020
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Joint inversion of compact operators
Published in Journal of Inverse and Ill-posed Problems, 2020
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Joint inversion of full-waveform ground-penetrating radar and electrical resistivity data: Part 1
Published in Geophysics, 2020
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Joint inversion of full-waveform ground-penetrating radar and electrical resistivity data: Part 2: Enhancing low frequencies with the envelope transform and cross gradients
Published in Geophysics, 2020
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Efficient inversion of 2.5D electrical resistivity data using the discrete adjoint method
Published in Geophysics, 2021
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Joint full-waveform ground-penetrating radar and electrical resistivity inversion applied to field data acquired on the surface
Published in Geophysics, 2022
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students
Amrina Ferdous
Computing PhD, Data Science emphasis
talks
Electrical Resistivity Imaging with Subsurface Boundary Constraints
Published:
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Singular Value Analysis of Joint Inversion
Published:
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Constrained Inversion for Subsurface Imaging
Published:
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Combining Distinct Data for Improved Modeling
Published:
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Statistical Tests for Total Variation Regularization Parameter Selection
Published:
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Inverse Methods and Imaging
Published:
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χ2 Test for TV regularization parameter selection
Published:
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Automatic Regularization Parameter Selection
Published:
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Training data for Geophysical Inversion
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Variational Data Assimilation and Regularization for Ill-posed Problems: A Common Framework
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teaching
RMMC Summer School on Inverse Problems in Imaging
Summer School, University of Wyoming, Mathematics, 2019
Summer school on inverse problems and imaging for young scientists, graduate students, postdocs, and junior faculty in the Rocky Mountain area.
Computational Mathematics
MATH 365, Boise State University, Mathematics, 2019
This course is an introduction to computational mathematics for sophmore and juniors in math and other majors. The pre-requisite is linear algebra.
Data Assimilation and Climate
Graduate course, African Institute for Mathematical Sciences (AIMS), 2020
This was a three week course prepared for master’s students in mathematical sciences.
Applied Mathematics and Statistics Seminar
Tuesdays 3:00-3:50, Boise State University, 2022