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David Stewart


Department of Mathematics
The University of Iowa
Iowa City, IA 52242
dstewart@math.uiowa.edu
http://www.math.uiowa.edu/~dstewart/

Publications

Books and book chapters

Books

  1. S. Oliveira and D.E. Stewart. Writing Numerical Software. Published with Cambridge University Press, September 2006. (ISBN 978-0-521-85896-0 paperback; 978-0-521-67595, hardcover)

  2. D.E. Stewart and Z. Leyk. Meschach: Matrix Computations in C. Australian National University, Canberra, 1994. CMA Proceedings #32. (ISBN 0731519000)

Edited volumes & proceedings

  1. R.V.N. Melnik, S. Oliveira, and D.E. Stewart, editors. New Methods in Applied and Computational Mathematics, NEMACOM98. Proceedings of the NEMACOM98 workshop held at Hervey Bay, Queensland, Australia, 9th July, 1998. Australian National University, Canberra, 2000. CMA Proceedings #38. (ISBN 0731552024)

  2. D.E. Stewart, D. Singleton, and H. Gardner, editors. Computational Techniques and Applications, CTAC93, World Scientific, Singapore, 1994. Proceedings of the Computational Techniques and Applications Conference, 1993, held at the Australian National University, 5-9 July, 1993. (ISBN 9810214944)

Book chapters

  1. R.L. Dewar and D.E. Stewart. Nonlinear Dynamics: Physics and Numerics. Chapter 6 in Complex Systems, D.G. Green and T. Bossomaier, editors. Cambridge University Press, Cambridge. November 1999. pp. 165-249 out of 405 pp. (ISBN 0521462452) Details available via http://uk.cambridge.org/order/WebBook.asp?ISBN=0521462452

Refereed journal papers

The Mathematical Reviews reference numbers are listed after the paper like this: (MR 2003a:70007).

  1. D.E. Stewart. Uniqueness for index-one differential variational inequalities. (8 pp.) Nonlinear Analysis: Hybrid Systems & Applications. Accepted November 2007.

  2. D.E. Stewart. Uniqueness for solutions of differential complementarity problems. (16 pp.) Mathematical Programming. Accepted September 2007. DOI: 10.1007/s10107-007-0195-4.

  3. J. Ahn and D.E. Stewart. Dynamic frictionless contact in linear viscoelasticity. (22 pp.) IMA J. Numerical Analysis. Accepted August 2007. DOI: 10.1093/imanum/drm029.

  4. J. Ahn and D.E. Stewart. Euler-Bernoulli Beam with dynamic frictionless contact: penalty approximation and existence. (22 pp.) Numerical Functional Analysis and Optimization. vol. 28, no. 9, pp. 1003-1026 (2007). DOI: 10.1080/01630560701587759.

  5. D.E. Stewart and T. Wendt. Fractional index convolution complementarity problems. (12 pp.) Nonlinear Analysis: Hybrid Systems & Applications. vol. 1, no. 1, pp. 124-134, 2007.

  6. J.-S. Pang and D.E. Stewart. Solution dependence on initial conditions in differential variational inequalities (33 pp.) Mathematical Programming. Accepted, April 2006. Available through Springer Online First. DOI: 10.1007/s10107-006-0052-x.

  7. C. Cartwright, S. Oliveira and D.E. Stewart. Parallel support set searches for meshfree methods. (12pp.) SIAM J. Scientific Computing. vol. 28, no. 4, pp. 1318-1334 (2006).

  8. D.E. Stewart. Differentiating complementarity problems and fractional index convolution complementarity problems. Houston Journal of Mathematics. vol. 33, no. 1, pp. 301-322, 2007.

  9. J.-S. Pang and D.E. Stewart. Differential variational inequalities. Mathematical Programming (Ser. A). vol. 113, no. 2, pp. 345-424 (2008).

  10. J. Ahn and D.E. Stewart. Existence of solutions for a class of impact problems without viscosity (21 pp.) SIAM J. Mathematical Analysis. vol. 38, no. 1, pp. 37-63, 2006.

  11. D.E. Stewart. Convolution complementarity problems with application to impact problems. (26pp.) IMA J. Appl. Mathematics. vol. 71, no. 1, pp. 92-119, 2006. DOI 10.1093/imamat/hxh087

  12. J. Ahn and D.E. Stewart. An Euler-Bernoulli beam with dynamic contact: Discretization, convergence and numerical results. (25pp.) SIAM J. Numer. Anal. vol. 43, no. 4, pp. 1455-1480, 2005.

  13. K.-H. Leem, S. Oliveira and D.E. Stewart. Algebraic multigrid (AMG) for saddle point systems from meshfree discretizations. Numerical Linear Algebra and Applications, vol. 11 (issue 2-3), pp. 293-308, 2004. (MR 2005g:65059)

  14. D.E. Stewart. Finite-dimensional contact mechanics. Phil. Trans. Royal Soc., Ser. A, vol. 359, pp. 2467-2482, 2001. (MR 2003a:70007)

  15. D.E. Stewart. Reformulations of measure differential inclusions and their closed graph property. J. Differential Equations. vol. 175 (issue 1), pp. 108-129, 2001. (MR 2003c:34014)

  16. D.E. Stewart. Towards numerically estimating Hausdorff-Besicovitch dimensions. ANZIAM J., vol. 42, pp. 451-461, 2001. (MR 2001k:65196)

  17. X. Han, S. Oliveira and D.E. Stewart, Finding sets covering a point with applications to meshless Galerkin methods. SIAM J. Computing, vol. 30 (issue 4), pp. 1368-1383, 2000. (MR 2001j:68126)

  18. D.E. Stewart. Formulating measure differential inclusions in infinite dimensions. Set-Valued Analysis, vol. 8 (issue 3), pp. 273-293, 2000. (MR 2002c:34101)

  19. S. Oliveira and D.E. Stewart. Exponential splittings of products of matrices and accurately computing singular values of long products. Linear Algebra and its Applications, vol. 309 (issue 1-3), pp. 175-190, 2000. (MR 2001c:65053)

  20. D.E. Stewart. Rigid-body dynamics with friction and impact. SIAM Review, vol. 42 (issue 1), pp. 3-39, 2000. (MR 2001c:70017)

  21. J.-S. Pang D.E. Stewart. A unified approach to frictional contact problems. Internat. J. Engineering Science, vol. 37 (issue 13), pp. 1747-1768, 1999. (MR 2001c:74058)

  22. M. Anitescu, F.A. Potra and D.E. Stewart. Time-stepping for three-dimensional rigid body dynamics. Comp. Methods Appl. Mech. Eng. vol. 177 (issue 3-4), pp. 183-197, 1999. (MR 2000f:70006)

  23. D.E. Stewart. Convergence of a time-stepping scheme for rigid body dynamics and resolution of Painlevé's problems. Archive Rational Mechanics and Analysis, vol. 145 (issue 3), pp. 215-260, 1998. (MR 2000d:70010)

  24. D.E. Stewart Existence of solutions to rigid body dynamics and the paradoxes of Painlevé. Comptes Rendus de l'Academie des Sciences, Sér. I, vol. 325, pp. 689-693, 1997. (MR 98h:70006)

  25. D.E. Stewart. A new algorithm for the SVD of a long product of matrices and the stability of products. Electron. Trans. Numer. Anal., vol. 5, pp. 29-47, 1997. (MR 98c:65063)

  26. D.E. Stewart. A graph theoretic model of symmetric Givens operations and its implications. Linear Alg. Appl., vol. 257, pp. 311-320, 1997. (MR 97m:65089)

  27. M.S. Bebbington and D.E. Stewart. An iterative aggregation/disaggregation procedure for modelling the long-term behaviour of continuous-time evanescent random processes. J. Statistical Computation and Simulation, vol. 56, pp. 77-95, 1996.

  28. T.S. Leyk and D.E. Stewart. Estimates of error for Krylov approximation of matrix exponentials. J. Comp. Appl. Mathematics, vol. 72, pp. 359-369, 1996. (MR 95f:65007)

  29. D.E. Stewart and J.C. Trinkle. An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and Coulomb friction. International J. Numer. Methods Engineering, vol. 39, pp. 2673-2691, 1996. (MR 97d:70004)

  30. M. Sosonkina, L.T. Watson, and D.E. Stewart. Note on the end game in homotopy zero curve tracking. ACM Trans. Math. Software, vol. 22 (issue 3), pp. 281-287, 1996. (MR 97i:65095)

  31. P.K. Pollett and D.E. Stewart. An efficient procedure for computing quasistationary distributions of Markov chains with sparse transition structure. Advances in Applied Probability, vol. 26 (issue 1), pp. 68-79, 1994. (MR 94i:60083)

  32. D.E. Stewart. Numerical methods for friction problems with multiple contacts. J. Austral. Math. Soc., Ser. B, vol. 37 (issue 3), pp. 288-308, 1996. (MR 97b:34013)

  33. B.D. Davidson and D.E. Stewart. A numerical homotopy method and investigations of a spring-mass system. Mathematical Models and Methods in Applied Sciences, vol. 3 (issue 3), pp. 395-416, 1993. (MR 94k:34024)

  34. D.E. Stewart. An index formula for degenerate LCP's. Linear Alg. Appl., vol. 191, pp. 41-52, 1993. (MR 94g:90147)

  35. D.E. Stewart. A numerical algorithm for optimal control problems with switching costs. J. Austral. Math. Soc. Ser. B, vol. 34, pp. 212-228, 1992. (MR 93h:49053)

  36. D.E. Stewart. A note on high degree linear complementarity problems. Bull. Austral. Math. Soc., vol. 45, pp. 151-155, 1992. (MR 93a:90072)

  37. D.E. Stewart. A problem decomposition technique with application to the optimal distribution of enzymes. SIAM J. Control Optim., vol. 30, pp. 390-407, 1992. (MR 92k:49078)

  38. D.E. Stewart. A high accuracy method for solving ODEs with discontinuous right-hand side. Numer. Math., vol. 58, pp. 299-328, 1990. (MR 92c:65081)

  39. A.S. Jones, D.E. Stewart, and H.B. Thompson. Eigenvalue estimates and existence for a generalized Graetz problem. J. Math. Anal. and Appl., vol. 141, pp. 152-163, 1989. (MR 90g:76086)

  40. K. Holmåker and D.E. Stewart. A class of optimization problems with noncompact constraints, general results and applications. SIAM J. Control Optim., vol. 25, pp. 1032-1052, 1987. (MR 88f:49004)

Papers under review

  1. D.E. Stewart. Energy balance for viscoelastic bodies in frictionless contact. (9 pp.) Submitted, January 2007.

  2. D.E. Stewart and M. Anitescu. Optimal control of systems with discontinuous differential equations. (40pp.) Submitted, June 2005. Resubmitted, July 2007.

Conference papers and presentations

Refereed conference papers

  1. S. Oliveira, T. Soma, D. E. Stewart. A subspace semidefinite programming for spectral graph partitioning. In Computational science--ICCS 2002, Part I (Amsterdam), pp. 1058-1067, Lecture Notes in Computer Science, 2329, Springer, 2002.

  2. S. Oliveira, T. Soma, D. E. Stewart. Semidefinite Programming for Graph Partitioning with Preferences in Data Distribution. In High Performance Computing for Computational Science -- Vecpar 2002, pp. 703-716. Selected papers from the VECPAR2002 conference, Springer, Lecture Notes in Computer Science, 2002. Edited by J.M.L.M. Palma, J. Dongarra, V. Hernandez, and A. Augusto Sousa.

  3. J. Ahn and D. E. Stewart. A simplified model of impact. Proceedings of the 3rd Contact Mechanics International Symposium, pp. 309-316. Edited by J.A.C. Martins and M.D.P. Monteiro-Marques. Kluwer Academic Press, 2001.

  4. C. Cartwright, S. Oliveira and D. E. Stewart. A parallel quadtree algorithm for efficient assembly of stiffness matrices in meshfree Galerkin methods. In Proceedings of Irregular 2001, a workshop of the 15th International Parallel and Distributed Processing Symposium, 2001 held in San Francisco, CA, April, 2001. Published by IEEE Computer Society, 2001 (CD-ROM).

  5. C. Cartwright, S. Oliveira and D. E. Stewart. A parallel quadtree algorithm for efficient assembly of stiffness matrices in meshfree Galerkin methods. In Proceedings of the Tenth SIAM Conference on Parallel Processing for Scientific Computing (CD-ROM), Juan Meza and Chuck Koelbel, editors, SIAM Publ., 2001.

  6. J.C. Trinkle and D.E. Stewart. An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and Coulomb friction. In Proceedings of the International Conference on Robotics and Automation (ICRA), 2000.

  7. J.C. Trinkle and D.E. Stewart. Dynamics, friction, and complementarity problems. In Complementarity and Variational Problems: State of the Art, Proc. 1995 International Conference on Complementarity Problems, J.-S. Pang and M.C. Ferris, editors, pages 425-439. SIAM Publ., Philadelphia, 1997.

  8. A.E. Dixon, C.A.J. Fletcher, D.E. Stewart, and M.R. Osborne. Calculation of gradients for aerodynamic design problems. In Computational Techniques and Applications: CTAC93, D.E. Stewart, D. Singelton and H. Gardner, editors, pages 193-201. World Scientific, Singapore, 1994.

  9. T.S. Leyk and D.E. Stewart. Solving linear parabolic equations by Krylov approximation techniques. In Computational Techniques and Applications: CTAC93, D.E. Stewart, D. Singelton and H. Gardner, editors, pages 329-337. World Scientific, Singapore, 1994.

Unrefereed conference papers

  1. S. Oliveira, T. Soma, D. E. Stewart. Semidefinite programming for graph partitioning with preferences, In Proceedings of the 5th International Meeting on High Performance Computing for Computational Science (VECPAR2002), Part III, pp. 679-692, 2002.

  2. D.E. Stewart Simulation of rigid-body dynamics with impact and friction. In New Methods in Applied and Computational Mathematics: NEMACOM98, R.V.N. Melnik, S. Oliveira and D.E. Stewart, editors, pages 67-80. Australian National University, Centre for Mathematics and its Applications, Canberra, 2000. Proceedings of the CMA #38.

  3. D.E. Stewart Rigid body dynamics and measure differential inclusions. In Foundations of Computational Mathematics, F. Cucker and M. Shub, editors, pages 405-413. Springer-Verlag, Berlin, Heidelberg, New York, 1997. (Only selected papers published.)

  4. S. Oliveira, D.E. Stewart and W. Wu Multigrid Methods for solving variational inequalities by a penalty method. In Proceedings of Copper Mountain Conference on Iterative Methods, April 1996. NASA Publications, Langley.

  5. D.E. Stewart. Aspects of implementing a `C' matrix library. In M.S. Moonen, G.H. Golub, and B.L.R. De Moor, editors, Linear Algebra for Large Scale and Real-Time Applications, pages 423-424, 1993. NATO, Kluwer Academic, Dordrecht.

  6. D.E. Stewart and S.J. Wright. Monotone convergent methods for a variational inequality. In Proceedings of the Miniconference on Analysis and Applications, G.J. Martin and H.B. Thompson, editors, pages 195-208. Centre for Mathematics and its Applications, The Australian National University, Canberra. Proceedings #33. Conference held in Brisbane, Australia, 20-23 September, 1993.

Technical reports and other publications

  1. K.H. Leem, S. Oliveira, and D.E. Stewart. Some numerical results from meshless linear systems. Computational Mathematics Technical Report 01-140, Department of Mathematics, University of Iowa, September 2001.

  2. D.E. Stewart. Convergence of a time-stepping scheme for rigid body dynamics and resolution of Painlevé's problem: Summary. Computational Mathematics Technical Report 98-114, Department of Mathematics, University of Iowa, 1998.

  3. D.E. Stewart. On ``Bang-bang damping''. Australian Mathematical Society Gazette. 25(4):192-193, 1998.

  4. D.E. Stewart. Constrained Optimisation and Morse Theory. Computational Mathematics Technical Report 98-107, Department of Mathematics, University of Iowa, 1998.

  5. D.E. Stewart. Roots of measures and impulsive control. Computational Mathematics Technical Report 98-105, Department of Mathematics, University of Iowa, 1998.

  6. D.E. Stewart. Angles between wavelet spaces under an operator inner product. Technical Report ACTR-36-11-94, Programme in Advanced Computation, Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, 1994.

  7. D.E. Stewart. Product algorithms for eigensystems. Technical Report ACTR-31-03-94, Australian National University, Centre for Mathematics and its Applications, 1994.

  8. J.E.M. Munro, D.I. Clark, and D.E. Stewart. Notes on Mathematical Optimisation and Modelling. University of Canberra, Faculty of Information Sciences and Engineering publication ISE M67/94. April, 1994. (ISBN 0 8588 9429.7)

  9. D.E. Stewart. Hierarchical methods for approximate inertial manifolds. Technical Report ACTR-21-08-93, Programme in Advanced Computation, Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, 1993.

  10. D.E. Stewart. Multigrid methods for quasi-stationary distributions of continuous-time Markov chains. Technical Report ACTR-6-04-92, Programme in Advanced Computation, Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, 1992.

  11. D.E. Stewart. Working notes on domain optimisation for the Navier-Stokes equations. Technical Report ACTR-7-05-92, Programme in Advanced Computation, Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, 1992.

Note. Technical reports in the ``ACTR'' series (Advanced Computation Technical Reports of the Centre for Mathematics and its Applications, ANU) are available via

http://wwwmaths.anu.edu.au/research.groups/advcomp/acreports

as compressed PostScript files.

Also, the technical reports in the University of Iowa Computational Mathematics series are available via

http://www.math.uiowa.edu/faculty/comp-math-reports.htm

as compressed PostScript files.

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