Professor Michael Holst

Publications of Michael Holst and Collaborators

Here are my current book/monograph projects:

I. Stakgold and M. Holst, Green's Functions and Boundary Value Problems. Third Edition (In Preparation), 2009.
M. Holst, Mathematical and Numerical General Relativity. (In Preparation), 2010.

Here is a rough guide to my Journal Articles below by research area:

Numerical Analysis and Approximation Theory [10, 15, 17, 24, 25, 26, 29, 30, 33, 37, 38, 52, 53]
Nonlinear Functional Analysis and Nonlinear PDE [13, 39, 47, 48, 54]
Geometric PDE/Global Nonlinear Analysis/General Relativity [12, 24, 31, 47, 48, 53, 54]
Navier-Stokes, Euler, MHD [13, 54, 55]
Electrostatics/Solvation Models in Biophysics [3, 4, 5, 6, 10, 11, 19, 20, 21, 22, 23, 38, 44, 51, 52]
Diffusion and Elasticity Models in Physics/Biophysics [1, 27, 32, 34, 35, 36, 40, 41, 45, 46]
Computational Geometry and Mesh Generation Algorithms [14, 42, 43, 49, 50]
Parallel Computing Algorithm Design and Analysis [2, 16, 18, 21, 23, 28]

Here are some quick links to the Journal Articles by year (of completion/submission):

Color key used for article numbers:

green = accepted or published.
magenta = submitted and in review.
black = preprint or report.

Journal Articles


Year	No.	Authors, Title. Journal where Appearing, Other Information.

2009	61	M. Holst, R. Szypowski, and G. Tsogtgerel, The Cauchy Problem of Cosmological Topologically Massive Gravity in 2+1 Dimensions. Preprint.
	60	M. Holst, G. Tsogtgerel, and Y. Zhu, Adaptive Finite Element Approximation of Nonlinear Geometric PDE. Preprint.
	59	M. Holst, G. Tsogtgerel, and Y. Zhu, Convergent Adaptive Finite Element Approximation of the Einstein Constraints. Preprint.
	58	M. Holst, G. Tsogtgerel, and Y. Zhu, Local and Global Convergence of Adaptive Methods for Nonlinear Partial Differential Equations. Preprint.
	57	M. Holst, J.A. McCammon, Z. Yu, Y. Zhou, and Y. Zhu, Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation. Submitted for publication.
	56	B. Lu and M. Holst and J.A. McCammon and Y. Zhou, Poisson-Nernst-Planck Equations for Simulation Biomolecular Diffusion-Reaction Processes I: Finite Element Solutions. Submitted for publication.
	55	M.A. Ebrahimi and M. Holst and E. Lunasin, The Navier-Stokes-Voight Model for Image Inpainting. Submitted for publication. [ PDF \| arXiv:math.NA/0901.4548 ]
	54	M. Holst, E. Lunasin, and G. Tsogtgerel, Analysis of a General Family of Regularized Navier-Stokes and MHD Models. Submitted for publication. [ PDF \| arXiv:math.AP/0901.4412 ]

2008	53	O. Korobkin, B. Aksoylu, M. Holst, E. Pazos, and M. Tiglio, Solving the Einstein constraints on multi-block triangulations using finite elements. Class. Quant. Grav. 26 (2009), No. 14, 145007 (28 pp). [ PDF \| Journal \| arXiv:gr-qc/0801.1823 ]
	52	E. Bylaska, M. Holst, and J. Weare, An Adaptive Finite Element Method for Solving the Exact Kohn-Sham Equation of Density Functional Theory. Accepted for publication in Journal of Chemical Theory and Computation. [ PDF \| Journal ]
	51	Y. Cheng, M. Holst, and J.A. McCammon, Finite Element Analysis of Drug Electrostatic Diffusion: Inhibition Rate Studies in N1 Neuraminidase. Biocomputing 2009: Proceedings of the Pacific Symposium, R.B. Altman, A.K. Dunker, L. Hunter, T. Murray, and T.E. Klein, eds., 2009, pp. 281-292. [ PDF \| Journal ]
	50	T. Hayashi, M.E. Martone, Z. Yu, A. Thor, M. Doi, M. Holst, M.H. Ellisman, and M. Hoshijima, Three-dimensional reconstruction reveals new details of membrane systems for calcium signaling in the heart. J. Cell Sci., Vol. 122 (April, 2009), No. 7, pp. 1005-1013. [ PDF \| PubMed ]
	49	Z. Yu, M. Holst, T. Hayashi, C. Bajaj, M. Ellisman, J.A. McCammon, and M. Hoshijima, Three-Dimensional Geometric Modeling of Membrane-bound Oganelles in Ventricular myocytes: Bridging the Gap between Microscopic Imaging and Mathematical Simulation. Accepted for publication in Journal of Structural Biology. [ PDF \| Journal ]
	48	M. Holst, G. Nagy, and G. Tsogtgerel, Far-from-constant mean curvature solutions of Einstein's constraint equations with positive Yamabe metrics. Physical Review Letters, Vol. 100 (2008), No. 16, pp. 161101.1-161101.4. [ PDF \| Journal \| arXiv:gr-qc/0802.1031 ]

2007	47	M. Holst, G. Nagy, and G. Tsogtgerel, Rough Solutions of the Einstein Constraints on closed manifolds without near-CMC conditions. Comm. Math. Phys., Vol. 288 (June 2009), No. 2, pp. 547-613. [ PDF \| Journal \| arXiv:gr-qc/0712.0798 ]
	46	Y. Cheng, C. Chang, Z. Yu, Y. Zhang, M. Sun, T.S. Leyh, M. Holst, and J.A. McCammon, Diffusional channeling in the sulfate activating complex: combined continuum modeling and coarse-grained Brownian dynamics studies. Biophys. J., Vol. 95 (2008), No. 10, pp. 4659-4667. [ PDF \| Journal ]
	45	S. Lu, A. Michailova, J. Saucerman, Y. Cheng Z. Yu, T. Kaiser, W. Li, R. Bank, M. Holst, A. McCammon, T. Hayashi, M. Hoshijima, P. Arzberger, and A. McCulloch, Multi-Scale Modeling of Ventricular Myocytes: Contributions of structural and functional heterogeneities to excitation-contraction coupling in the normal and failing rodent heart. IEEE Journal on Engineering in Medicine and Biology, Vol. 28 (March-April 2009), No. 2, pp. 46-57. [ PDF \| Journal ]
	44	B. Lu, Y. Zhou, M. Holst, and J.A. McCammon, Recent Progress in Numerical Methods for the Poisson-Boltzmann Equation in Biophysical Applications. Comm. Comput. Phys., Vol. 3 (2008), No. 5, pp. 973-1009. [ PDF \| Journal ]
	43	Z. Yu, M. Holst, Y. Cheng, and J.A. McCammon, Feature-Preserving Adaptive Mesh Generation for Molecular Shape Modeling and Simulation. Journal of Molecular Graphics and Modeling, Vol. 26 (2008), pp. 1370-1380. [ PDF \| Journal ]

2006	42	Z. Yu, M. Holst, and J.A. McCammon, High-Fidelity Geometric Modelling for Biomedical Applications. Finite Elements in Analysis and Design, Vol. 44 (2008), No. 11, pp. 715-723. [ PDF \| Journal ]
	41	Y. Zhou, B. Lu, G.A. Huber, M. Holst and J.A. McCammon, Continuum Simulations of Acetylcholine Consumption by Acetylcholinesterase: A Poisson-Nernst-Planck Approach. J. Phys. Chem. B, Vol. 112 (2008), pp. 270-275. [ PDF \| Journal ]
	40	B. Lu, Y. Zhou, G. Huber, S. Bond, M. Holst and J.A. McCammon, Electrodiffusion: A continuum-modeling frame-work for biomolecular systems with realistic spatiotemporal resolution. J. Chem. Phys., Vol. 127 (2007), No. 13, pp. 135102.1-135102.16. [ PDF \| Journal ]
	39	Y. Zhou, M. Holst, and J.A. McCammon, Nonlinear elastic modeling of macromolecular conformational change induced by electrostatic forces. J. Math. Anal. Appl., Vol. 340 (2008), No. 1, pp. 135-164. [ PDF \| Journal ]
	38	L. Chen, M. Holst, and J. Xu, The Finite Element Approximation of the Nonlinear Poisson-Boltzmann equation. SIAM J. Numer. Anal., Vol. 45 (2007), No. 6, pp. 2298-2320. [ PDF \| Journal ]

2005	37	L. Chen, M. Holst, and J. Xu, Convergence and Optimality of Adaptive Mixed Finite Element Methods. Math. Comp., Vol. 78 (2009), No. 265, pp. 33-53. [ PDF \| Journal ]
	36	W. Li, N. Baker, K. Baldridge, J. McCammon, M. Ellisman, A. Gupta, M. Holst, A. McCulloch, A. Michailova, P. Papadopoulos, A. Olson, M. Sanner, and P. Arzberger, National Biomedical Computation Resource (NBCR): Developing End-to-End Cyberinfrastructure for Multiscale Modeling in Biomedical Research. CTWatch Quarterly: Trends and Tools in Bioinformatics and Computational Biology, Vol. 2 (2006), pp. 6-17. [ PDF \| Journal ]
	35	Y. Cheng, J.K. Suen, D. Zhang, S.D. Bond, Y. Zhang, Y. Song, N.A. Baker, C.L. Bajaj, M.J. Holst and J.A. McCammon, Finite Element Analysis of the Time-Dependent Smoluchowski Equation for Acetylcholinesterase Reaction Rate Calculations. Biophys. J., Vol. 92 (2007), pp. 3397-3406. [ PDF \| Journal ]
	34	Y. Cheng, J.K. Suen, Z. Radic, S.D. Bond, M.J. Holst and J.A. McCammon, Continuum simulations of acetylcholine diffusion with reaction-determined boundaries in neuromuscular junction models. Biophys. Chem., 127 (2007) 129-139. [ PDF \| Journal ]

2004	33	B. Aksoylu and M. Holst, Optimality of multilevel preconditioners for local mesh refinement in three dimensions. SIAM J. Numer. Anal., Vol. 44 (2006), No. 3, pp. 1005-1025. [ PDF \| Journal ]
	32	D. Zhang, J. Suen, Y. Zhang, Y. Song, Z. Radic, P. Taylor, M. Holst, C. Bajaj, N. Baker, and J. A. McCammon, Tetrameric Mouse Acetylcholinesterase: Continuum Diffusion Rate Calculations by Solving the Steady-State Smoluchowski Equation Using Finite Element Methods. Biophys. J., Vol. 88 (2005), pp. 1659-1665. [ PDF \| Journal ]
	31	M. Holst, L. Lindblom, R. Owen, H.P. Pfeiffer, M.A. Scheel, and L.E. Kidder, Optimal Constraint Projection for Hyperbolic Evolution Systems. Phys. Rev. D, Vol. 70 (2004), No. 8, pp. 084017.1-084017.17. [ PDF \| Journal \| arXiv:gr-qc/0407011 ]
	30	D. Estep, M. Holst, and M. Larson, Generalized Green's Functions and the Effective Domain of Influence. SIAM J. Sci. Comput., Vol. 26 (2005), No. 4, pp. 1314-1339. [ PDF \| Journal ]

2003	29	B. Aksoylu, S. Bond, and M. Holst, An Odyssey into Local Refinement and Multilevel Preconditioning III: Implementation and Numerical Experiments. SIAM J. Sci. Comput., Vol. 25 (2003), No. 2, pp. 478-498. [ PDF \| Journal ]
	28	R. Bank and M. Holst, A New Paradigm for Parallel Adaptive Meshing Algorithms. SIAM Review, Vol. 45 (2003), No. 2, pp. 291-323. [ PDF \| Journal ]
	27	K. Tai, S. Bond, H. MacMillan, N. Baker, M. Holst, and J. A. McCammon, Finite element simulations of acetylcholine diffusion in neuromuscular junctions. Biophys. J., 84 (2003), pp. 2234-2241. [ PDF \| Journal ]
	26	M. Holst, Applications of domain decomposition and partition of unity methods in physics and geometry (Plenary Paper). Proceedings of the Fourteenth International Conference on Domain Decomposition Methods, January 2002, Cocoyoc, Mexico, I. Herrera, D. Keyes, O. Widlund, and R. Yates, eds., Domain Decomposition Methods in Science and Engineering, Mexico City, Mexico, National Autonomous University of Mexico (UNAM), June 2003, pp. 63-78. [ PDF \| Journal ]

2002 -to- 1993	25	D. Estep, M. Holst, and D. Mikulencak, Accounting for stability: a posteriori error estimates for finite element methods based on residuals and variational analysis. Communications in Numerical Methods in Engineering, 18 (2002), pp. 15-30. [ PDF \| Journal ]
	24	M. Holst, Adaptive numerical treatment of elliptic systems on manifolds. Advances in Computational Mathematics, 15 (2001), pp. 139-191. [ PDF \| Journal ]
	23	N. Baker, D. Sept, S. Joseph, M. Holst, and J. A. McCammon. Electrostatics of nanosystems: Application to microtubules and the ribosome. Proceedings of the National Academy of Sciences, 98 (2001), pp. 10037-10041. [ PDF \| Journal ]
	22	N. Baker, K. Tai, R. Henchman, D. Sept, A. Elcock, M. Holst, and J. A. McCammon, Mathematics and Molecular Neurobiology. Proceedings of the 3rd International Workshop on Methods for Macromolecular Modeling, New York City, October 12-14, 2000. In Computational Methods for Macromolecules: Challenges and Applications, H. Gan and T. Schlick, eds., Springer-Verlag, New York, 2002. [ PDF \| Journal ]
	21	N. Baker, D. Sept, M. Holst, and J. A. McCammon, The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers. IBM Journal of Research and Development, 45 (2001), pp. 427-438. [ PDF \| Journal ]
	20	N. Baker, M. Holst, and F. Wang, Adaptive multilevel finite element solution of the Poisson-Boltzmann equation II: refinement at solvent accessible surfaces in biomolecular systems. J. Comput. Chem., 21 (2000), pp. 1343-1352. [ PDF \| Journal ]
	19	M. Holst, N. Baker, and F. Wang, Adaptive Multilevel Finite Element Solution of the Poisson-Boltzmann Equation I: Algorithms and Examples. J. Comput. Chem., 21 (2000), pp. 1319-1342. [ PDF \| Journal ]
	18	R. Bank and M. Holst, A New Paradigm for Parallel Adaptive Meshing Algorithms. SIAM J. Sci. Comput., Vol. 22 (2000), No. 4, pp. 1411-1443. [ PDF \| Journal ]
	17	S. Ashby, M. Holst, T. Manteuffel, and P. Saylor, The role of the inner product in stopping criteria for conjugate gradient iterations. BIT, 41 (2001), pp. 26-53. [ PDF \| Journal ]
	16	R.E. Bank, M. Holst, B. Mantel, J. Periaux, and C.H. Zhou, CFD PPLTMG: Using a posteriori error estimates and domain decomposition. ECCOMAS 98, John Wiley & Sons, New York, NY, 1998. [ PDF \| Journal ]
	15	M. Holst and S. Vandewalle, Schwarz methods: to symmetrize or not to symmetrize. SIAM J. Numer. Anal., Vol. 34 (1997), No. 2, pp. 699-722. [ PDF \| Journal ]
	14	D. Zorin, M. Holst, and P. Schroeder, Subdivision-Based Surface Representations. TeamCAD 97 Workshop, Atlanta, GA, 1997, pp. 35-38. [ PDF \| Journal ]
	13	M. Holst and E. Titi, Determining Projections and Functionals for Weak Solutions of the Navier-Stokes Equations. Recent Developments in Optimization Theory and Nonlinear Analysis, Y. Censor and S. Reich, eds., vol 204 of Contemporary mathematics, Providence, Rhode Island, 1997, American Mathematical Society. [ PDF \| Journal ]
	12	D. Bernstein and M. Holst, A 3d finite element solver for the initial-value problem. Proceedings of the 18th Texas Symposium on Relativistic Astrophysics, December 16-20, 1996, Chicago, Illinois, A. Olinto, ed., World Scientific, 1996. [ PDF \| Journal ]
	11	M. Holst and F. Saied, Multigrid and domain decomposition methods for electrostatics problems. Domain Decomposition Methods in Science and Engineering (Proceedings of the Seventh International Conference on Domain Decomposition Methods, October 27-30, 1993, The Pennsylvania State University), D. E. Keyes and J. Xu, eds., American Mathematical Society, Providence, 1995. [ PDF \| Journal ]
	10	M. Holst and F. Saied, Numerical solution of the nonlinear Poisson-Boltzmann equation: Developing more robust and efficient methods. J. Comput. Chem., 16 (1995), pp. 337-364. [ PDF \| Journal ]
	9	M. Holst and S. Vandewalle, Schwarz methods: To symmetrize or not to symmetrize. Proceedings of the Seventh Copper Mountain Conference on Multigrid Methods, April 2-7, 1995, Copper Mountain, Colorado, J. Mandel and S. McCormick, eds., NASA Langley Research Center, 1995. [ PDF \| Journal ]
	8	M. Holst, Kansas hosts macromolecular modeling workshop. SIAM News, Vol. 28 (March 1995), No. 3, p. 11. [ HTML \| Journal ]
	7	M. Holst, Symposium honors Herbert B. Keller. SIAM News, Vol. 28 (December 1995), No. 10, p. 3. [ HTML \| Journal ]
	6	M. Holst, R. Kozack, F. Saied, and S. Subramaniam, Protein electrostatics: Rapid multigrid-based Newton algorithm for solution of the full nonlinear Poisson-Boltzmann equation. J. of Biomol. Struct. & Dyn., 11 (1994), pp. 1437-1445. [ info \| Journal ]
	5	M. Holst, R. Kozack, F. Saied, and S. Subramaniam, Treatment of electrostatic effects in proteins: Multigrid-based-Newton iterative method for solution of the full nonlinear Poisson-Boltzmann equation. Proteins: Structure, Function, and Genetics, 18 (1994), pp. 231-245. [ info \| Journal ]
	4	M. Holst, R. Kozack, F. Saied, and S. Subramaniam, Multigrid-based Newton iterative method for solving the full Nonlinear Poisson-Boltzmann equation. Biophysical Journal, 66 (1994), pp. A130-A130. [ info \| Journal ]
	3	M. Holst and F. Saied, Multigrid solution of the Poisson-Boltzmann equation. J. Comput. Chem., 14 (1993), pp. 105-113. [ PDF \| Journal ]
	2	F. Saied and M. J. Holst, Multigrid Methods for Computational Acoustics on Vector and Parallel Computers. Computational Acoustics - Volume 1 (Scattering, Supercomputing and Propagation), R. L. Lau, D. Lee, and A. R. Robinson (Editors), North Holland, pp. 71-80, 1993. [ PDF \| Journal ]
	1	F. Bodine, M. Holst, and T. Kerkhoven, The three-dimensional depletion approximation computed with multigrid. Proceedings of the International Workshop on Computational Electronics. Leeds, UK, North Holland, 1993. [ PDF \| Journal ]

Articles in the Popular Press


Info	No.	Authors, Title. Other Information.

	3	M. Holst and T.Y. Hou, Obiturary Story on Herbert Bishop Keller. SIAM News, Vol. 41 (July 2008), No. 6, p. 2. [ HTML ]
	2	M. Holst, Kansas hosts macromolecular modeling workshop. SIAM News, Vol. 28 (March 1995), No. 3, p. 11. [ HTML ]
	1	M. Holst, Symposium honors Herbert B. Keller. SIAM News, Vol. 28 (December 1995), No. 10, p. 3. [ HTML ]

Books, Monographs, and Lecture Notes


Info	No.	Authors, Title. Other Information.

	9	I. Stakgold and M. Holst, Green's Functions and Boundary Value Problems. Third Edition (Book In Preparation), 2009.
	8	M. Holst, Notes on Mathematical and Numerical General Relativity. Lecture notes (Math 259C), 2009. [ PDF ]
	7	M. Holst, Computational Multiscale Modeling: Adaptive Methods and FETK with Applications in Biophysics. Lecture notes (from the CTBP and NBCR Summer Workshop at UCSD), 2008. [ PDF ]
	6	M. Holst, Nonlinear Functional Analysis: Applications in PDE and Numerical Analysis. Lecture notes (Math 241B), 2007. [ PDF ]
	5	M. Holst, Differential Geometry: Applications in Shell Theory and General Relativity. Lecture notes (Math 237AB), 2007. [ PDF ]
	4	M. Holst, Approximation Theory: Nonlinear Approximation and Numerical Analysis. Lecture notes (Math 273C), 2005. [ PDF ]
	3	M. Holst, Linear Functional Analysis: Applications in PDE and Numerical Analysis. Lecture notes (Math 273AB), 2000. [ PDF ]
	2	M. Holst, Matrix Theory: Linear Operators on Finite-Dimensional Vector Spaces. Lecture notes (AMa 104), 1997. [ PDF ]
	1	M. Holst, Elliptic Equations: Theory and Finite Element Approximation. Lecture notes (AMa 204A), 1995. [ PDF ]

Theses and Technical Reports


Info	No.	Authors, Title. Other Information.

	19	B. Aksoylu and M. Holst, An Odyssey into Local Refinement and Multilevel Preconditioning II: Stabilizing Hierarchical Basis Methods. Institute for Computational Engineering and Sciences, The University of Texas at Austin, ICES Technical Report 05-04, January 2005. [ PDF ]
	18	B. Aksoylu and M. Holst, An Odyssey into Local Refinement and Multilevel Preconditioning I: Optimality of the BPX Preconditioner. Institute for Computational Engineering and Sciences, The University of Texas at Austin, ICES Technical Report 05-03, January 2005. [ PDF ]
	17	B. Aksoylu, S. Bond, and M. Holst, Implementation and Theoretical Aspects of the BPX Preconditioner in the Three-Dimensional Local Mesh Refinement Setting. Institute for Computational Engineering and Sciences, The University of Texas at Austin, ICES Technical Report 04-50, October 2004. [ PDF ]
	16	M. Holst and E. Titi, Determining Projections and Functionals for Weak Solutions of the Navier-Stokes Equations. Technical Report CRPC-96-43, Applied Mathematics and CRPC, California Institute of Technology, 1996. [ PDF ]
	15	M. Holst and S. Vandewalle, Schwarz Methods: to Symmetrize or not to Symmetrize. Technical Report CRPC-94-13, Applied Mathematics and CRPC, California Institute of Technology, 1994. [ PDF ]
	14	M. Holst, R. Kozack, F. Saied, and S. Subramaniam, Treatment of Electrostatic Effects in Proteins: Multigrid-based Newton Iterative Method for Solution of the Full Nonlinear Poisson-Boltzmann Equation. Technical Report UIUC-BI-MB-93-01, The Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, 1993. [ info ]
	13	S. Ashby, M. Holst, T. Manteuffel, and P. Saylor, The Role of the Inner Product in Stopping Criteria for Conjugate Gradient Iterations. Technical Report UCRL-JC-112586, Lawrence Livermore National Laboratory, 1992. [ PDF ]
	12	M. Holst and F. Saied, Multigrid Solution of the Poisson-Boltzmann Equation. Technical Report UIUCDCS-R-92-1744, Numerical Computing Group, University of Illinois at Urbana-Champaign, 1992. [ PDF ]
	11	M. Holst, MCLite: An Adaptive Multilevel Finite Element MATLAB Package for Scalar Nonlinear Elliptic Equations in the Plane. UCSD Technical report and guide to the MCLite software package. [ PDF ]
	10	M. Holst, Some bounds on the number of determining nodes for weak solutions of the Navier-Stokes equations. Technical Report CRPC-95-1, Applied Mathematics and CRPC, California Institute of Technology, 1995. [ PDF ]
	9	M. Holst, Algebraic Schwarz Theory. Technical Report CRPC-94-12, Applied Mathematics and CRPC, California Institute of Technology, 1994. [ PDF ]
	8	M. Holst and F. Saied, A short note comparing multigrid and domain decomposition for protein modeling equations. Technical Report CRPC-94-10, Applied Mathematics and CRPC, California Institute of Technology, 1994. [ PDF ]
	7	M. Holst, A robust and efficient numerical method for nonlinear protein modeling equations. Technical Report CRPC-94-9, Applied Mathematics and CRPC, California Institute of Technology, 1994. [ PDF ]
	6	M. Holst, The Poisson-Boltzmann equation: Analysis and multilevel numerical solution. (Monograph based on the Ph.D. Thesis below). Applied Mathematics and CRPC, California Institute of Technology, 1994. [ PDF ]
	5	M. Holst, Notes on the KIVA-II software and chemically reactive fluid mechanics. Technical Report UCRL-ID-112019, Lawrence Livermore National Laboratory, 1993. [ PDF ]
(Ph.D.)	4	M. Holst, Multilevel Methods for the Poisson-Boltzmann Equation. PhD Thesis, Numerical Computing Group, University of Illinois at Urbana-Champaign, October 1993. (Published as Technical Report UIUCDCS-R-93-1821.) [ PDF ]
	3	M. Holst and F. Saied, Parallel Performance of some Multigrid Solvers for Three-Dimensional Parabolic Equations. Technical Report UIUCDCS-R-91-1697, Numerical Computing Group, University of Illinois at Urbana-Champaign, 1991. [ PDF ]
	2	M. Holst and F. Saied, Vector Multigrid: An Accuracy and Performance Study. Technical Report UIUCDCS-R-90-1636, Numerical Computing Group, University of Illinois at Urbana-Champaign, 1990. [ info ]
(M.S.)	1	M. Holst, CgCode: Software for solving linear systems with conjugate gradient methods. MS Thesis, Numerical Computing Group, University of Illinois at Urbana-Champaign, May 1990. [ PDF ]