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<TITLE>Linda Petzold</TITLE><H1>Linda Petzold</H1><!WA0><img src="http://www.cs.umn.edu/faculty/petzold.gif"><p>Professor<BR>Numerical analysis, differential-algebraic equations, scientific computing, mathematical software<BR>petzold@cs.umn.edu<BR>(612)625-2013<BR><H3>Positions Held:</H3><UL><LI>Professor, Department of Computer Science, University of Minnesota, 1991-present<LI>Group Leader, Numerical Mathematics Group, Lawrence Livermore NationalLaboratory, 1985-1991<LI>Member of Technical Staff, Applied Mathematics Division, Sandia NationalLaboratories, Livermore, California 1978-1985</UL><H3>Education:</H3>Ph.D. 1978, Computer Science, University of Illinois at Urbana-Champaign<BR>B.A. 1974, Mathematics, University of Illinois at Urbana-Champaign <P>Research in the group of Professor Petzold is centered on the analysisand development of numerical methods for differential equations anddifferential-algebraic equation (DAE) systems, scientific computing,parallel computing and mathematical software.<P>Differential equations and differential-algebraic systems arise in awide variety of scientific and engineering applications.Differential-algebraic equations often occur as differential equationswhich are subject to constraints.  The constraints may be linear ornonlinear, equality or inequality.  DAE systems arise frequently asinitial value problems in the computer-aided design and modeling ofmechanical systems subject to constraints (multibody systems), circuitsimulation, flowsheeting for chemical processes, modeling of the flowof incompressible fluids, and in many other applications.  Boundaryvalue problems in DAEs arise in parameter estimation and control formultibody systems and for chemical processes and determination ofperiodic solutions for circuits.  The presence of the constraints in aDAE system leads to an interesting mathematical structure and presentschallenges for numerical algorithms.  Current research focuses onnumerical methods for real-time simulation of mechanical systems,parameter estimation and optimal control of differential-algebraicsystems, and parallel methods and software for very-large-scalesystems of DAEs in geophysics and other applications.<P><H3>Research Monograph:</H3>K. E. Brenan, S. L. Campbell and L. R. Petzold, The Numerical Solutionof Initial Value Problems in Differential-Algebraic Equations,Elsevier Science Publishing Co., (1989).<H3>Research Articles:</H3>R. S. Maier, L. R. Petzold and W. Rath, Using DASPK on the TMC CM5:Experiences with Two Programming Models, Proc. 1993 Scalable ParallelLibraries Conf., 1993 (with R. S. Maier and W. Rath).<P>R. S. Maier, L. R. Petzold and W. Rath, Solving Large-ScaleDifferential-Algebraic Equations via DASPK on the CM5, submitted toConcurrency: Practice and Experience, 1994.<P>P. N Brown, A. C. Hindmarsh and L. R. Petzold, Using Krylov Methods inthe Solution of Large-Scale Differential-Algebraic Systems, to appear,SIAM J. Scientific Computing.<P>U. Ascher and L. R. Petzold, The Numerical Solution ofDelay-Differential-Algebraic Equations of Retarded and Neutral Type,to appear, SIAM J. Numerical Analysis.<P>U. Ascher, H. Chin, L. R. Petzold and S. Reich, Stabilization ofConstrained Mechanical Systems with DAEs and Invariant Manifolds,submitted to Mechanics of Structures and Machines, 1993.<P>U. Ascher and L. R. Petzold, Stability of Computational Methods forConstrained Dynamics Systems, SIAM J. on Scientific and StatisticalComputing 14, 1993.<P>L. R. Petzold, Numerical Solution of Differential-Algebraic Equationsin Mechanical Systems Simulation, Physica D 60 (1992), 269-279.<P>U. Ascher and L. R. Petzold, Projected Implicit Runge-Kutta Methodsfor Differential-Algebraic Equations, SIAM J. on Numerical Analysis 28(1991), 1097-1120.<P>C. W. Gear, B. J. Leimkuhler and L. R. Petzold, Approximation Methodsfor the Consistent Initialization of Differential-Algebraic Equations,SIAM J. on Numerical Analysis 28 (1991).<HR><Center><!WA1><A Href="http://www.cs.umn.edu/footer.map"><!WA2><Img Alt="CS Footer" Src="http://www.cs.umn.edu/images/misc/footer.jpg" ISMAP BORDER=0 WIDTH=450 HEIGHT=70></A><H6><!WA3><A Href="mailto:www@cs.umn.edu">Comments and Questions</A> | <!WA4><A href="http://www.cs.umn.edu/help">On-Line Help and Software List</A> | <!WA5><A Href="http://www.cs.umn.edu/faculty//">Department Home Page</A> |<!WA6><A Href="http://ftp.cs.umn.edu">Department FTP Server</A> | <!WA7><A href="http://www.cs.umn.edu/Research">Research Projects</A> | <!WA8><A Href="http://www.cs.umn.edu/system-info.html">System Information</A></H6></Center><Center><!WA9><A href="http://www.apache.org"><!WA10><Img Height=20 Width=200 ALign=right Alt="Apache Logo" Border=0 Src="http://www.cs.umn.edu/images/misc/apache_pb.gif"></A></Center><I>Last Modified on: Friday, December 15, 1995</I>