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Scholarly Interest Report
         
Danny C. Sorensen
Professor Emeritus
Professor Emeritus of Computational and Applied Mathematics
 
e-mail:sorensen@rice.edu
 
  • B.S. (1972) University of California, Davis
  • M.A. (1975) University of California, San Diego
  • Ph.D. (1977) University of California, San Diego
 
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Department Affiliations
 
  • Department of Computational and Applied Mathematics
  • Keck Center for Quantitative Biomedical Sciences
  • Ken Kennedy Institute for Information Technology
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    Websites
     Home Page
     ARPACK software
     CAAM 551 Numerical Methods for Large Scale Linear Algebra Problems
     
    Research Areas
     Numerical Linear Algebra, Numerical Analysis, Model Order Reduction, Control of Dynamical Systems, Numerical Optimization, Parallel Numerical Algorithms.
     
    Selected Publications
     Refereed articles
     

    (with Bosen Du and Steven J. Cox) "Model reduction of strong-weak neurons." Front. Comput. Neurosci. (2014)

     
     

    (with D. Wirtz,B. Haasdonk) "A-posteriori error estimation for DEIM reduced nonlinear dynamical systems."  SIAM J. Sci. Comp., 36(2) (2014)

     
     

    (with D. Wirtz,B. Haasdonk) "A-posteriori error estimation for DEIM reduced nonlinear dynamical systems." SIAM J. Sci. Comp (2013) In Press

     
     

    (with R. Glowinski, A. Caboussat) "A Least-Squares Method for the Numerical Solution of the Dirichlet Problem for the Elliptic Monge-Ampre Equation in Dimension Two." ESAIM : COCVIn Press

     
     

    (with S. Chaturantabut) "A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction." SIAM J. Num. Anal., 50 (1) (2012) : 46-63.

     
     Articles
     

    (with M. Embree) "A DEIM induced CUR factorization." Technical Report CAAM TR14-04

     
     

    (with R. Carden) "Automating DEIM for nonlinear model reduction." Technical Report CAAM TR12-16 (2012)

     
     

    (with D. Wirtz,B. Haasdonk) "A-posteriori error estimation for DEIM reduced nonlinear dynamical systems." Technical Report CAAM TR12-17 (2012)

     
    Presentations
     Invited Talks
     

    Invited Speaker.  "A DEIM Induced CUR Factorization." SIAM CSE invited minisymposium talk, Salt LakeCity, UT. (March, 2015)

     
     

    Invited Plenary Speaker.  "A DEIM Induced CUR Factorization." Sparse Days Symposium, St. Girons, France. (June, 2015)

     
     

    Invited Speaker.  "Approximation via Discrete Empirical Interpolation." Distinguished CS&E/CLS Seminar, Purdue University, West Lafayette, IN. ( Nov. 2015)

     
     

    Invited Speaker.  "Lectures on POD-DEIM model reduction." 3rd International School on Model Reduction for Dynamical Control Systems, Dubrovnik, Croatia. (Oct. 2015)

     
     

    Invited Plenary Speaker.  "A DEIM Induced CUR Factorization." Invited Plenary Talk, IWASEP X, Dubrovnik, Croatia. (3 June 2014)

     
     

    Invited Speaker.  "A DEIM Induced CUR Factorization." XIX Householder Symposium, Spa, Belgium. (June 2014)

     
     

    Invited Speaker.  "A Posteriori Error Estimation for DEIM Reduced Order Models." CIRM Workshop on MOR, Luminy, France. (June 10, 2013)

     
     

    Invited Minisymposium Speaker.  "Advances with DEIM: Automation and Error Estimation." SIAM CSE 2013, Boston, MA. (February 26-28, 2013)

     
     

    Invited Minisymposium Talk.  "An Inner Product Free Krylov Method for Large Linear Systems and Eigenvalue Problems." Advances in Computational Mechanics, ACM 2013 A conference celebrating the 70th birthday of Thomas J.R. Hughes, San Diego, CA. (February 23, 2013)

     
     

    Invited Seminar Speaker.  "Discrete Empirical Interpolation for Nonlinear Model Reduction." Applied and Computational Mathematics Seminar, Dept. of Mathematics at George Mason U, Arlington, VA. (October 16, 2013)

     
     

    Invited Seminar Speaker.  "Discrete Empirical Interpolation for Nonlinear Model Reduction." Numerical Analysis Seminar, Department of Mathematics, University of Maryland, College Park, MD. (October 15, 2013)

     
     

    Invited Speaker.  "Error estimation for POD-DEIM reduced systems." ECCOMAS workshop on MOR, Blois, France. (November 3-6, 2013)

     
     

    Invited Speaker.  "Automating DEIM for Nonlinear Model Reduction." U. Stuttgart, Stuttgart, Germany. (May 2012)

     
     

    Invited Speaker.  "Automating DEIM for Nonlinear Model Reduction." VA Tech. Dept. Mathematics Colloquium, Roanoke, VA. (March 2012)

     
     

    Invited Speaker.  "Automating DEIM for Nonlinear Model Reduction." SIAM Applied Linear Algebra 2012, Valencia, Spain. (June 2012)

     
     

    Invited Speaker.  "Automating DEIM for Nonlinear Model Reduction." IWASEP 9, Napa, CA. (June 2012)

     
     

    Invited Speaker.  "Automating DEIM for Nonlinear Model Reduction." Invited Talk honoring R. Glowinski, Houston, TX. (March 9, 2012)

     
     

    Invited Speaker.  "Automating DEIM for Nonlinear Model Reduction." CECAM MOR Workshop, Lausanne, Switzerland. (May 2012)

     
     

    Invited Speaker.  "MOR for Bratu Problems using DEIM." Workshop on Nonlinear MOR Tegernsee, Konstanz, Germany. (May 2012)

     
    Editorial Positions
     Other, (Elected Chair) SIAM Activity Group on Numerical Linear Algebra. (2013 - 2013)

    Supervised Theses & Dissertations
     Bosen Du, PhD Adaptive Reduction of Large Spiking Neurons. (2013) (Thesis Director)

     Jonathan Baker, MA Nonnormality in Lyapunov Equations. (2016) (Thesis Director)

     Charles Puelz, M.A. Improved Spectral Calculations for Discrete Schroedinger Operators. (Thesis Committee Member)