Approximating the singular value expansion of a compact operator, Daniel Crane, Mark Gockenbach, Matthew Jacob Roberts
Michigan Tech Publications

Approximating the generalized singular value expansion, Mark Gockenbach, Matthew J. Roberts
Department of Mathematical Sciences Publications

On the convergence of a heuristic parameter choice rule for Tikhonov regularization, Mark Gockenbach, Elaheh Gorgin
Department of Mathematical Sciences Publications

Smoothing via elliptic operators with application to edge detection, Mohammad F. Al-Jamal, A. K. Alomari, Mark Gockenbach
Department of Mathematical Sciences Publications

Generalizing the GSVD, Mark Gockenbach
Department of Mathematical Sciences Publications

Linear Inverse Problems and Tikhonov Regularization, Mark Gockenbach
Department of Mathematical Sciences Publications

Proximal methods for the elastography inverse problem of tumor identification using an equation error approach, Mark Gockenbach, Baasansuren Jadamba, Akhtar A. Khan, Christiane Tammer, Brian Winkler
Department of Mathematical Sciences Publications

An equation error approach for the elasticity imaging inverse problem for predicting tumor location, E. Crossen, Mark Gockenbach, Baasansuren Jadamba, Akhtar A. Khan, Brian Winkler
Department of Mathematical Sciences Publications

Local convergence of Newton’s method in the classical calculus of variations, Mark Gockenbach, Chang Liu
Department of Mathematical Sciences Publications

Stability and error estimates for an equation error method for elliptic equations, Mohammad F. Al-Jamal, Mark Gockenbach
Department of Mathematical Sciences Publications

Finite-dimensional linear algebra, Mark Gockenbach
Department of Mathematical Sciences Publications

Partial differential equations: Analytical and numerical methods, Second edition, Mark Gockenbach
Department of Mathematical Sciences Publications

Newton’s law of heating and the heat equation, Mark Gockenbach, Kristin Schmidtke
Department of Mathematical Sciences Publications

Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters, Mark Gockenbach, Baasansuren Jadamba, Akhtar A. Khan
Department of Mathematical Sciences Publications

An abstract framework for elliptic inverse problems: Part 2. An augmented Lagrangian approach, Mark Gockenbach, Akhtar A. Khan
Department of Mathematical Sciences Publications

Numerical analysis of elliptic inverse problems with interior data, Mark Gockenbach
Department of Mathematical Sciences Publications

The output least-squares approach to estimating Lamé moduli, Mark Gockenbach
Department of Mathematical Sciences Publications

An abstract framework for elliptic inverse problems: Part 1. An output least-squares approach, Mark Gockenbach, Akhtar A. Khan
Department of Mathematical Sciences Publications

Understanding and implementing the finite element method, Mark Gockenbach
Department of Mathematical Sciences Publications

Identification of Lamé parameters in linear elasticity: a fixed point approach, Mark Gockenbach, Akhtar A. Khan
Department of Mathematical Sciences Publications

Adaptive simulation, the adjoint state method, and optimization, Mark Gockenbach, William W. Symes
Department of Mathematical Sciences Publications

A variational method for recovering planar Lamé moduli, Jun Chen, Mark Gockenbach
Department of Mathematical Sciences Publications

Efficient and automatic implementation of the adjoint state method, Mark Gockenbach, Daniel Reynolds, Peng Shen, William W. Symes
Department of Mathematical Sciences Publications

Automatic differentiation and the adjoint state method, Mark Gockenbach, Daniel Reynolds, William W. Symes
Department of Mathematical Sciences Publications

A primer on differentiation, Mark Gockenbach
Department of Mathematical Sciences Publications

C++ classes for linking optimization with complex simulations, Mark Gockenbach, Matthew J. Petro, William W. Symes
Department of Mathematical Sciences Publications