Mark S. Gockenbach

Mark S. Gockenbach

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Department Chair, Mathematical Sciences

Professor, Mathematical Sciences

  • PhD, Computational and Applied Mathematics, Rice University
  • ABD, Mathematics, University of Illinois
  • MS, Mathematics, Illinois State University
  • MS, Computational & Applied Mathematics, Rice University
  • BS, Mathematics/Computer Science, University of Illinois

Areas of Expertise

  • Inverse problems in partial differential equations
  • Numerical optimization
  • Mathematical software

Recent Publications

  • Mark S. Gockenbach Finite-Dimensional Linear Algebra, CRC Press, 2010.
  • M. S. Gockenbach, K. K. Schmidtke Newton's law of heating and the heat equation Involve, 2(4), 419?437, 2009.
  • M. S. Gockenbach, A. A. Khan An abstract framework for elliptic inverse problems. Part 2: An augmented Lagrangian approach Mathematics and Mechanics of Solids,14, 517?539, 2009.
  • M. S. Gockenbach, Baasansuren Jadamba Akhtar A. Khan A Comparative Numerical Study of Optimization Approaches for Elliptic Inverse Problems, JMI International Journal of Mathematical Sciences, 1(1), 35-56, 2010.
  • Mark S. Gockenbach Partial Differential Equations: Analytical and Numerical Methods, Second Edition the Society for Industrial and Applied Mathematics, 2010.
  • M. S. Gockenbach Numerical analysis of elliptic inverse problems with interior data, Journal of Physics: Conference Series 124 012026, 2008.
  • M. S. Gockenbach, B. Jadamba A. A. Khan Equation error approach for elliptic inverse problems with an application to the identification of Lame parameters, Inverse Problems in Science and Engineering, 16(3), 349?367, 2008.

Recent Funding

  • M. S. Gockenbach, Principal Investigator The Rice Inversion Project (TRIP) grant, Optimization, Adaptive Simulation, and Parallelism, $30,000, 9/2000-8/2001.
  • M. S. Gockenbach, Principal Investigator National Science Foundation grant, Large-Scale Opti- mization: Matrix-Free Algorithms, Data Parallelism, and Applications in Seismic Inversion (DMS- 9973308), $82,908, 9/1999-8/2002.