Papers and Manuscripts:

H. Hetrick and J. Mead Incorporating Discontinuous Boundaries in an ERT Inversion Through Regularization Operators submitted to Computational Geoscience.

J. Mead Chi-squared tests for Total Variation Regularization Parameter Selection submitted to SISC.

M. Thoma, W. Barrash, M. Cardiff, J. Bradford and J.Mead Estimation of in-situ unsaturated hydraulic properties of a stony sediment sequence from an infiltration experiment using multiple optimization methods Vadose Zone Journal, 2014.

J. Mead and C. Hammerquist Chi-squared tests for choice of regularization parameter in nonlinear inverse problems, SIMAX, Vol. 34, No. 3, (2013), pp. 1213-1230.

J. Mead, Discontinuous parameter estimates with least squares estimators, Applied Mathematics and Computation, 219 (2013), pp. 5210-5223.

R. Renaut, I. Hnetynkova and J. Mead, Regularization Parameter Estimation for Large Scale Tikhonov Regularization Using A Priori Information, Computational Statistics and Data Analysis, 54 (2010), pp. 3430-3445.

J.L. Mead and R.A. Renaut, Least squares problems with inequality constraints as quadratic constraints, Linear Algebra and its Applications, 432 (2010), pp. 1936-1949.

J.L. Mead and R.A. Renaut, A Newton root-finding algorithm for estimating the regularization parameter for solving ill-conditioned least squares problems , Inverse Problems, Vol. 25, No. 2, 2009.

J.L. Mead, "Parameter Estimation: A new approach to weighting a priori information" Journal of Inverse and Ill-posed Problems, Vol. 16, No.2, 2008, p. 175-194.

J.L. Mead and B. Zubik-Kowal, "An Iterated Pseudospectral Method for Functional Partial Differential Equations", Appl. Num. Math., Vol. 55 Issue 2, pp 227-250, 2005.

J.L. Mead, B. Zubik-Kowal, "Pseudospectral Iterated Method for Differential Equations with Delay Terms", Lecture Notes in Computer Science, Vol. 3039, pp 451-458, 2004.

J.L. Mead, "The Shallow Water Equations in Lagrangian Coordinates", J. Comp. Phys., Vol 200, No. 2 pp 654-669, 2004.

J.L. Mead, "Assimilation of Simulated Float Data in Lagrangian coordinates", Ocean Modelling, Vol 8, Issue 4 pp. 369-394, 2005.

J.L. Mead, R.A. Renaut, "Accuracy, Resolution and Stability Properties of a Modified Chebyshev Method", SIAM J. Sci. Comput., Vol. 24, No. 1 pp. 143-160, 2002.

J.L. Mead, A.F. Bennett, "Towards Regional Assimilation of Lagrangian Data: The Lagrangian form of the Shallow Water Reduced Gravity Model and its Inverse", J. Marine Systems, 29, pp. 365-384, 2001.

J.L. Mead, R.A. Renaut, B.D. Welfert, "Stability of a Pivoting Strategy for Gaussian Elimination in Parallel", BIT 41:3, pp. 633-639, 2001.

J.L. Mead, R.A. Renaut, "Optimal Runge-Kutta Methods with Pseudospectral Operators for Solutions of Hyperbolic Systems", J. Comp. Phys. Vol 152, pp. 404-419, 1999.

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