Publications of L. Ridgway Scott


184
L. Ridgway Scott.
Introduction to Automated Modeling with FEniCS.
Computational Modeling Initiative, 2018.
Available at this web site. More information at the book web page

183
Eric Cances and L. Ridgway Scott.
van der Waals interactions between two hydrogen atoms: The Slater-Kirkwood method revisited.
SIAM Journal on Mathematical Analysis 50(1), 381--410, 2018.
Available at this web site.

182
Johnny Guzman and L. Ridgway Scott.
The Scott-Vogelius finite elements revisited.
Mathematics of Computation, 2018.
Available online at this web site.

181
Hannah Morgan and L. Ridgway Scott.
Towards a unified finite element method for the Stokes equations.
SIAM Journal on Scientific Computing, 40(1):A130--A141, 2018.
Available at this web site.

180
L. Ridgway Scott and Ariel Fernandez.
A Mathematical Approach to Protein Biophysics.
Springer, 2017.
DOI information: 10.1007/978-3-319-66032-5.
Available at the publisher.

179
Vivette Girault and L. Ridgway Scott.
Circumventing the lack of dissipation in certain Oldroyd models.
Comptes rendus - Mathematiques
Available online 20 June 2017 at this web site.

178
Vivette Girault and L. Ridgway Scott.
Wellposedness of some Oldroyd models that lack explicit dissipation.
Research Report UC/CS TR-2017-4, Dept. Comp. Sci., Univ. Chicago, 2017.
Available at this web site.

177
L. Ridgway Scott.
The impact of wrapping on sidechain-mainchain hydrogen bonds.
Research Report UC/CS TR-2017-3, Dept. Comp. Sci., Univ. Chicago, 2017.
Available at this web site.

176
Ariel Fernandez and L. Ridgway Scott.
Advanced Modeling Reconciles Counterintuitive Decisions in Lead Optimization
Trends in Biotechnology, Volume 35, Issue 6, June 2017, Pages 490-497
DOI information: 10.1016/j.tibtech.2016.12.003
Available at this web site.

175
Hannah Morgan, Matthew G. Knepley, Patrick Sanan, and L. Ridgway Scott.
A stochastic performance model for pipelined Krylov methods.
Concurrency Computat.: Pract. Exper. (2016)
Available at this web site.

174
Dexuan Xie, Jinn-Liang Liu, Bob Eisenberg, and L. Ridgway Scott.
A nonlocal Poisson-Fermi model for ionic solvent.
arXiv:1603.05597 [physics.chem-ph], 2016.
Available at this web site.

173
L. Ridgway Scott and Dexuan Xie.
Analysis of a nonlocal Poisson-Boltzmann equation.
Research Report UC/CS TR-2016-1, Dept. Comp. Sci., Univ. Chicago, 2016.
Available at this web site.

172
Christopher M. Fraser and L. Ridgway Scott.
Candidate Dehydron Identification in High Resolution Myoglobin Structures.
University of Chicago Technical Report TR-2015-12
Available at this web site.

171
Vivette Girault, Ricardo Nochetto and L. Ridgway Scott.
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra.
Numerische Mathematik, 131(4):771--822, 2015.
Available at this web site.

170
L. Ridgway Scott and Ariel Fernandez Stigliano.
Mismatched ions indicate quantum effects in proteins
University of Chicago Technical Report TR-2015-10
Available at this web site.

169
Ariel Fernandez and L. Ridgway Scott.
Drug leads for interactive protein targets with unknown structure
Drug Discovery Today, 21:531--535, 2015.
Available at this web site.

168
L. Ridgway Scott, Yi Jiang, and Xie Dexuan.
Comparison of a nonlocal dielectric model with a discontinuous model
University of Chicago Technical Report TR-2015-06
Available at this web site.

167
Xie Dexuan, Yi Jiang, and L. Ridgway Scott.
Efficient Algorithms for a Nonlocal Dielectric Model for Protein in Ionic Solvent
SISC, vol. 35, no. 6, pages B1267-B1284, 2014.
Available at this web site.

166
L. Ridgway Scott and Ariel Fernandez Stigliano.
A disruptive dipole-dipole alignment promotes a stable molecular association.
Research Report UC/CS TR-2013-10, Dept. Comp. Sci., Univ. Chicago, 2013.
Available at this web site.

165
Peter R. Brune, Matthew G. Knepley, and L. Ridgway Scott.
Unstructured geometric multigrid in two and three dimensions on complex and graded meshes.
SIAM J. Sci. Computing, 35(1):A173-A191, 2013.
Available at this web site.

164
Todd F. Dupont and L. Ridgway Scott
The power method for tensor eigenproblems and limiting directions of Newton iterates.
Numerical Linear Algebra and Applications, 20(6): 956-971, 2013.
Available at this web site.

163
L. Ridgway Scott.
Tsunami Simulation.
University of Chicago Technical Report TR-2013-01
Available at this web site.

162
L. Ridgway Scott.
Real norms are not complex.
University of Chicago Technical Report TR-2012-08
Available at this web site.

161
A. R. Terrel, L. R. Scott, M. G. Knepley, R. C. Kirby, and G. N. Wells.
Finite elements for incompressible fluids.
Chapter 20, pages 381-394, in A. Logg, K.A. Mardal, and G. Wells, editors,
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book.
Springer-Verlag New York Inc, 2012.
Available at this web site.

160
Xie Dexuan, Yi Jiang, Peter Brune, and L. Ridgway Scott.
A fast solver for a nonlocal dielectric continuum model.
SISC, 34(2):B107--B126, 2012.
Available at this web site.

159
Ariel Fernandez, Christopher M. Fraser, and L. Ridgway Scott.
Purposely engineered drug-target mismatches for entropy-based drug optimization.
Trends in Biotechnology, 30(1):1-7, 2012.
Available at this web site.

158
Xie Dexuan and L. Ridgway Scott.
A new boundary integral equation for molecular electrostatics with charges over whole space.
BIT Numerical Mathematics, 51:1051--1071, 2011.
Available at this web site.

157
Peter R. Brune, Matthew G. Knepley, and L. Ridgway Scott.
Exponential grids in high-dimensional space
University of Chicago Technical Report TR-2011-7
Available at this web site.

156
Christopher M. Fraser, Ariel Fernandez, and L. Ridgway Scott.
Wrappa: A screening tool for candidate dehydron identification.
University of Chicago Technical Report TR-2011-5
Available at this web site.

155
Mark Maienschein-Cline and L. Ridgway Scott
Scalable solution of non-linear time-dependent systems.
University of Chicago Technical Report TR-2011-01
Available at this web site.

154
L. Ridgway Scott.
Numerical Analysis.
Princeton University Press, 2011
Available at the publisher and at Amazon

153
Todd F. Dupont and L. Ridgway Scott
The end-game for Newton iteration.
University of Chicago Technical Report TR-2010-10
Available at this web site.

152
Vivette Girault and L. Ridgway Scott.
On a Time-Dependent Transport Equation in a Lipschitz Domain.
SIAM Journal on Mathematical Analysis 42, 1721--1731, 2010.
Available at this web site.

151
Matt Knepley, Robert C. Kirby, and L. Ridgway Scott
Languages and Compilers for Variational Forms.
University of Chicago Technical Report TR-2010-09
Available at this web site.

150
Matt Knepley, Robert C. Kirby, and L. Ridgway Scott
Evaluation of the Action of Finite Element Operators.
University of Chicago Technical Report TR-2010-08
Available at this web site.

149
L. Ridgway Scott.
Nonstandard dielectric response.
University of Chicago Technical Report TR-2010-06
Available at this web site.

148
L. Ridgway Scott.
Intrinsic spectral representation of simplicial finite elements.
University of Chicago Technical Report TR-2010-05
Available at this web site.

147
Xie Dexuan and L. Ridgway Scott.
An analysis of the parallel U-cycle multigrid method.
University of Chicago Technical Report TR-2010-03
Available at this web site.

146
Christopher M. Fraser, Ariel Fernandez, and L. Ridgway Scott.
Dehydron analysis: quantifying the effect of hydrophobic groups on the strength and stability of hydrogen bonds.
In Hamid R. Arabnia, editor, Advances in Computational Biology, pages 473-479, Springer, 2010.
Available at this web site.

145
Vivette Girault and L. Ridgway Scott.
Alternative analysis of the transport equation in the grade-two fluid model.
In J. Haataja, R. Stenberg, J. Periaux, P. Raback, and P. Neittaanmaki, editors,
Numerical analysis and scientific computing for partial differential equations and their challenging applications,
pages 29-53. International Center for Numerical Methods in Engineering, 2008.
Available at this web site and at this web site.

144
Florin Despa, Ariel Fernandez, L. Ridgway Scott, and R. Stephen Berry.
Hydration Profiles of Amyloidogenic Molecular Structures.
Journal of Biological Physics 34:6, pages 577-590, 2008.
Available at this web site.

143
A. R. Terrel, L. R. Scott, M. G. Knepley, and R. C. Kirby.
Automated FEM discretizations for the Stokes equation.
BIT, 48(2):389--404, 2008.
Available at this web site.

142
S. C. Brenner and L. R. Scott.
The Mathematical Theory of Finite Element Methods, 3rd Edition.
Springer-Verlag, 2008. Now available at Amazon and dangdang.com

141
Ariel Fernandez, Alejandro Crespo, Sridhar Maddipati, and L. Ridgway Scott.
Bottom-up engineering of peptide cell translocators based on environmentally modulated quadrupole switches.
ACS Nano 2008, Vol. 2, Pages 61-68.
Available at this web site.

140
Ariel Fernandez and L. Ridgway Scott.
Modulating drug impact by wrapping target proteins.
Expert Opinion on Drug Discovery February 2007, Vol. 2, No. 2, Pages 249-259.
Available at this web site.

139
R. C. Kirby and L. Ridgway Scott.
Geometric Optimization of the Evaluation of Finite Element Matrices.
SIAM J. Sci. Computing 29:827-841, 2007.
Available at this web site.

138
Robert C. Kirby, Anders Logg, L. Ridgway Scott and Andy R. Terrel.
Topological Optimization of the Evaluation of Finite Element Matrices.
SIAM J. Sci. Computing 28:224-240, 2006.
Available at this web site.

137
R. C. Kirby, M. Knepley, A. Logg, and L. Ridgway Scott.
Optimizing the evaluation of finite element matrices.
SIAM J. Sci. Computing 27:741--758, 2005.
Available at this web site.

136
Angelika Longacre, L. Ridgway Scott and Jerrold S. Levine.
Linear independence of pairwise comparisons of DNA microarray data.
Journal of Bioinformatics and Computational Biology (2005) vol. 3, No. 6, pp. 1243-1262.
Available at this web site.

135
Ernesto Gomez and L. Ridgway Scott.
Compiler Support for Implicit Process Sets.
University of Chicago Technical Report TR-2005-14
Available at this web site.

134
L. Ridgway Scott, Angelika Longacre and Jerrold S. Levine.
Analysis of Pair-Wise Comparisons.
University of Chicago Technical Report TR-2005-13
Available at this web site.

133
L. Ridgway Scott, Terry Clark, and Babak Bagheri.
Education and Research Challenges in Parallel Computing.
Presented at the Workshop on High Performance Computing in Academia
at the International Conference on Computational Science 2005 (ICCS 2005), Atlanta, GA, May 2005.
Published as Computational Science ICCS 2005: 5th International Conference, Atlanta, GA, USA, May 22-25, 2005.
Proceedings, Part II, Springer Lecture Notes in Computer Science 3515, pages 44--51. Berlin: Springer-Verlag, 2005.
Preprint

132
L. Ridgway Scott, Terry Clark, and Babak Bagheri.
Scientific Parallel Computing.
Princeton University Press, 2005
Available at the publisher and at Amazon

131
Vivette Girault, Ricardo Nochetto and L. Ridgway Scott.
Maximum-norm stability of the finite element Stokes projection
J. Math. Pures Appl., 84:279-330, 2005.
Available at this web site.

130
Andrei Draganescu, Todd F. Dupont, and L. Ridgway Scott.
Failure of the discrete maximum principle for an elliptic finite element problem.
Math. Comp. 74 (2005) 1-23. Available at this web site.

129
L. Ridgway Scott, Mercedes Boland, Kristina Rogale and Ariel Fernandez.
Continuum equations for dielectric response to macro-molecular assemblies at the nano scale.
J. Phys. A: Math. Gen. 37 (2004) 9791-9803.
Available at this web site.

128
Ariel Fernandez, Kristina Rogale Plazonic, L. Ridgway Scott and Harold A. Scheraga.
Inhibitor design by wrapping packing defects in HIV-1 proteins.
PNAS 2004 101, 11640-11645.
Available at this web site.

127
Vivette Girault, Ricardo Nochetto and L. Ridgway Scott.
Stability of the finite element Stokes projection in [Lipshitz norm] W^1,infinity
Comptes rendus - Mathematiques Volume 338, Issue 12, 15 June 2004, Pages 957-962, CRASS1542.
Available at this web site.

126
Babak Bagheri and L. Ridgway Scott.
About Analysa.
University of Chicago Technical Report TR-2004-09
Available at this web site.

125
Ariel Fernandez, L. Ridgway Scott, and R. Stephen Berry.
The nonconserved wrapping of conserved protein folds reveals a trend towards increasing connectivity in proteomic networks.
PNAS 2004 101: 2823-2827;
10.1073/pnas.0308295100
Available at this web site.

124
Ariel Fernandez and L. Ridgway Scott.
Under-wrapped soluble proteins as signals triggering membrane morphology.
Journal of Chemical Physics 119(13), 6911-6915 (2003).
Available at this web site.

123
Ariel Fernandez and L. Ridgway Scott.
Dehydron: a structurally encoded signal for protein interaction.
Biophysical Journal 85, 1914-1928 (2003).
Available at this web site. PMID: 12944304

122
Ariel Fernandez, L. Ridgway Scott and Harold A. Scheraga.
Amino-acid residues at protein-protein interfaces: Why is propensity so different from relative abundance?
J. Phys. Chem. B, 107, no. 36, 9929-9932 (2003).
Available at this web site.

121
Ariel Fernandez and L. Ridgway Scott.
Adherence of packing defects in soluble proteins.
Phys. Rev. Lett. 2003 91:18102(4);
Available at this web site.

120
Ariel Fernandez, Jozsef Kardos, L. Ridgway Scott, Yuji Goto, and R. Stephen Berry.
Structural defects and the diagnosis of amyloidogenic propensity.
PNAS 2003 100: 6446-6451;
10.1073/pnas.0731893100
Available at this web site.

119
V. Girault and L. Ridgway Scott.
A quasi-local interpolation operator preserving the discrete divergence.
Calcolo, 40:1-19, 2003. preprint (PS) or (PDF)

118
S. C. Brenner and L. R. Scott.
The Mathematical Theory of Finite Element Methods, 2nd Edition.
Springer-Verlag, 2002.
Available at Amazon

117
Roger Z. Ríos-Mercado, Suming Wu, L. R. Scott, and E. Andrew Boyd.
A reduction technique for natural gas transmission network optimization problems.
Annals of Operations Research 117, 2002, 217-234.
Available at this web site.

116
V. Girault and L. Ridgway Scott.
Stability of dispersive model equations for fluid flow.
In Collected Lectures on the Preservation of Stability Under Discretization, D. Estep and S. J. Tavener, eds.,
Philly: SIAM, pp.221-236, 2002. Preprint (PS)

115
V. Girault and L. Ridgway Scott.
Hermite interpolation of non-smooth functions preserving boundary conditions.
Mathematics of Computation, 71(239):1043-1074, 2002.
Available at this web site.

114
V. Girault and L. Ridgway Scott.
Upwind discretization of a steady grade-two fluid model in two-dimensions.
Studies in Math. & Its Appl., 31:393-414, 2002.

113
L. Ridgway Scott, Stephen Wright, Stuart Kurtz, Terry Clark, Chris Dyanov, and Richard Quigg.
Method for determining biological expression levels by linear programming. US Patent 7,031,845, issued on 18 April 2006.
Patent application; Preprint.

112
Terry Clark, Sanggyu Lee, L. Ridgway Scott, and San Ming Wang.
Computational analysis of gene identification with SAGE.
J. Comp. Bio., 9:513-526, 2002.

111
Sanggyu Lee, Terry Clark, Jianjun Chen, Guolin Zhou, L. Ridgway Scott, Janet D. Rowley, and San Ming Wang.
Correct identification of genes from serial analysis of gene expression tag sequences.
Genomics, 79:598-602, 2002.

110
R. Z. Ríos-Mercado, S. Wu, L. R. Scott, and E. A. Boyd.
Preprocessing on natural gas transmission networks.
Technical Report PISIS-2000-01, Graduate Program in Systems Engineering, Universidad Autónoma de Nuevo León, San Nicolás de los Garza, México, November 2000.

109
Piotr Bala, Terry Clark, and L. Ridgway Scott.
Application of Pfortran and Co-Array Fortran in the parallelization of the GROMOS96 molecular dynamics module.
Scientific Programming, 9:61-68, 2001.
Available at this web site.

108
Xie Dexuan, Tamar Schlick, and L. R. Scott.
Analysis of the SHAKE-SOR algorithm for constrained molecular dynamics simulations.
Methods and applications of analysis, 7:577-590, 2000.

107
V. Girault and L. Ridgway Scott.
Finite element discretizations of a two-dimensional grade-two fluid model.
MMAN, 35:1007-1053, 2001.
Available at this web site.

106
Suming Wu, Roger Ríos, Andrew Boyd, and L. R. Scott.
A network reduction technique for natural gas pipelines.
Technical report, University of Chicago, Department of Computer Science, 2000.

105
Hector Juarez, L. R. Scott, R. Metcalfe, and B. Bagheri.
Direct simulation of freely rotating cylinders in viscous flows by high-order finite element methods.
Computers & Fluids, 29:547-582, 2000.
Available at this web site.

104
L. R. Scott and Xie Dexuan.
Parallel linear stationary iterative methods.
In Petter Bjørstad and Mitchell Luskin, editors, Parallel solution of partial differential equations,
pages 31-55. Berlin: Springer-Verlag, 2000.

103
V. Girault and L. Ridgway Scott.
Analysis of a two-dimensional grade-two fluid model with a tangential boundary condition.
J. Math. Pures Appl., 78:981-1011, 1999.
Available at this web site.

102
Suming Wu, Roger Ríos-Mercado, E. Andrew Boyd, and L. Ridgway Scott.
Model relaxations for the fuel cost minimization of steady-state gas pipeline networks.
Mathematical and Computer Modelling, 31: 197--220, 2000.

101
D. Cioranescu, V. Girault, R. Glowinski, and L. Ridgway Scott.
Some theoretical and numerical aspects of grade-two fluid models.
Research Notes in Math., 406:99-110, 1999.

100
Ernesto Gomez and L. R. Scott.
Overlapping and shortcutting techniques in loosely synchronous irregular problems.
In Springer Lecture Notes in Computer Science 1457, pages 116-127. Berlin: Springer-Verlag, 1998.

99
J. A. McCammon, S. T. Wlodek, T. W. Clark, Paul Kirchhoff, L. R. Scott, and Sylvia Tara.
Computer simulation studies of acetylcholinesterase dynamics and activity.
In Structure and Function of cholinesterases and related proteins, pages 327-329. New York: Plenum Press, 1998.

98
V. Girault and L. Ridgway Scott.
Solutions of a two-dimensional grade-two fluid model with a tangential boundary condition on non-smoth domains.
C. R. Acad. Sci. Paris, 327:105-109, 1998.

97
Z. H. Zhou, Sharon J. Macnab, Joanita Jakana, L. R. Scott, W. Chiu, and F. J. Rixon.
Identification of the sites of interaction between the scaffold and outer shell in herpes simplex virus-1 capsids by difference electron imaging.
Proc. Natl. Acad. Sci., USA, 95:2778-2783, March 1998.

96
Suming Wu, Andrew Boyd, and L. R. Scott.
Minimizing fuel consumption at gas compressor stations.
Advances in Industrial Engineering Applications and Practice I, J. J.-W. Chen and A. Mital, editors, 972--977, Cincinatti, Ohio, 1996,
International Journal of Industrial Engineering.

95
Alexandru M. Micu, B. Bagheri, A. Ilin, L. R. Scott, and B. M. Pettitt.
Numerical consideration in the computation of the electrostatic free energy of interaction within the Poisson-Boltzmann theory.
Journal of Computational Physics, 136:263-271, 1997.

94
Xie Dexuan and L. R. Scott.
The parallel U-cycle multigrid method.
Research Report UH/MD 240, Dept. Math., Univ. Houston, 1997.

93
Anna-Karin Tornberg, R. Metcalfe, L. R. Scott, and B. Bagheri.
A fluid particle simulation method.
In eds. M-O. Bristeau et al., editor, Computational Science for the 21st century, pages 312-321. John Wiley & Sons, New York, 1997.

92
Anna-Karin Tornberg, R. Metcalfe, L. R. Scott, and B. Bagheri.
A front-tracking method for simulating bubble motion in a viscous incompressible fluid using high-order finite element methods.
In 1997 ASME Fluids Engineering Division Summer Meeting FEDSM97-3493, 1997.

91
S. T. Wlodek, T. W. Clark, L. R. Scott, and J. A. McCammon.
Molecular dynamics of acetylcholinesterase dimer complexed with tacrine.
J. Am. Chem. Soc., 119:9513-9522, 1997.

90
Z. H. Zhou, W. Chiu, K. Haskell, H. Spears, J. Jakana, F. J. Rixon, and L. R. Scott.
Parallel refinement of herpesvirus B-capsid structure.
Biophysical Journal, 73:576-588, January 1997.

89
A. Ilin, B. Bagheri, R. Metcalfe, and L. R. Scott.
Error control and mesh optimization for high-order finite element approximation of incompressible viscous flow.
Comp. methods appl. Mechanics and Eng., 150:313-325, 1997.

88
Yoonho Park, Ridgway Scott, and Stuart Sechrest.
Virtual memory versus file interfaces for large, memory-intensive scientific applications.
In Supercomputing '96 Proceedings. http://www.supercomp.org/sc96/proceedings, 1996.

87
A. Ilin and L. R. Scott.
Loop splitting for superscalar architectures.
J. Supercomp. Appl. and High Perf. Computing, 10:336-340, 1996.

86
L. R. Scott, A. Ilin, R. Metcalfe, and B. Bagheri.
Fast algorithms for solving high-order finite element equations for incompressible flow.
In Proceedings of the International Conference on Spectral and High Order Methods, pages 221-232, Houston, TX, 1995. University of Houston.

85
T. W. Clark, L. R. Scott, S.T. Wlodek, and J. A. McCammon.
I/O limitations in parallel molecular dynamics.
In F. Baker and J. Wehmer, editors, Proceedings of the 1995 ACM/IEEE Supercomputing Conference, pages 1-15. IEEE Computer Society Press, 1995.

84
Maciej Brodowicz, Yoonho Park, Olin Johnson, and Ridgway Scott.
tlbmon(): A NEC Cenju-3 translation lookaside buffer monitor.
In Proceedings of the International Conference on High-Performance Computing in Asia, 1995.

83
A. Ilin, B. Bagheri, L. R. Scott, J. A. McCammon, and V. P. Il'in.
Parallelizing of preconditioned conjugate gradients for Poisson-Boltzmann calculation.
In Proceedings of the 3rd International Congress on Industrial and Applied Mathematics, volume 1, pages 429-430, Hamburg, 1995. Akademie-Verlag.

82
A. Ilin, B. Bagheri, L.R.Scott, J.M.Briggs, and J.A.McCammon.
Parallelization of Poisson-Boltzmann and Brownian Dynamics calculation.
In T. G. Mattson, editor, Parallel Computing in Computational Chemistry, pages 170-185, Washington D.C., 1995. ACS Books.

81
J.D.Madura, J.M.Briggs, R.C.Wade, M.E.Davis, B.A.Luty, A. Ilin, J.Antosciewicz, M.K.Gilson, B. Bagheri, L.R.Scott, and J.A.McCammon.
Electrostatics and diffusion of molecules in solution: Simulations with the University of Houston Brownian Dynamics program.
Comp. Phys. Commun., 91:57-95, Sept. 1995.
Available at this web site.

80
S.T. Wlodek, J. Antosiewicz, M.K. Gilson, J.A. McCammon, T.W. Clark, and L.R. Scott.
Computer modeling of acetylcholinesterase and acetylcholinesterase-ligand complexes.
In D.M. Quinn et al., editors, Enzymes of the Cholinesterase Family, pages 97-104. Plenum Publishing Co., 1995.

79
A. Ilin and L. R. Scott.
High performance programming for the KSR-1.
Research Report UH/MD 196, Dept. Math., Univ. Houston, 1995.

78
L. R. Scott.
Elliptic preconditioners using fast summation techniques.
In Domain Decomposition Methods in Science and Engineering
(Proceedings of the Seventh International Conference on Domain Decomposition,
October 27-30, 1993, The Pennsylvania State University), D. E. Keyes & J. Xu, eds.
,
volume Contemproary Mathematics 180, pages 311-323. American Mathematical Society, 1995.

77
L. R. Scott, B. Bagheri, A. Ilin, and Xie Dexuan.
Parallel solution of elliptic boundary value problems.
In Proceedings of the Third International Workshop on Computational Electronics, Portland, OR, May 1994.

76
B. Bagheri, A. Ilin, J. A. McCammon, L. R. Scott, and Xie Dexuan.
Parallel algorithms for biomolecular modeling.
In Proceedings of the Workshop on Algorithms for Macromolecular Modeling, pages 77-82, Lawrence, KA, September 1994.

75
B. Bagheri, M. Draghicescu, and L. R. Scott.
Functional objects for finite element computation.
In Proceedings of the Second Annual Object-Oriented Numerics Conference, 1994.

74
L. R. Scott.
Minitrack on computer design: A new grand challenge.
In Proceedings of the Hawaii International Conference on System Sciences, volume 1, pages 3-6, Maui, HI, January 1994.

73
B. Bagheri, A. Ilin, and L. R. Scott.
Parallel 3-D MOSFET simulation.
In Proceedings of the Hawaii International Conference on System Sciences, volume 1, pages 46-54, Maui, HI, January 1994.

72
B. Bagheri, A. Ilin, and L. R. Scott.
A comparison of shared and distributed memory scalable parallel processors : 1. KSR shared memory.
In Proceedings of the Scalable High-Performance Computing Conference, pages 9-16, Knoxville, Tennessee, May 1994. IEEE Computer Society Press.

71
T. W. Clark, R. v. Hanxleden, J. A. McCammon, and L. R. Scott.
Parallelizing molecular dynamics using spatial decomposition.
In Proceedings of the Scalable High-Performance Computing Conference, pages 95-102, Knoxville, Tennessee, May 1994. IEEE Computer Society Press.

70
J. A. McCammon, B. M. Pettitt, and L. R. Scott.
Ordinary differential equations of molecular dynamics.
Computers & Mathematics with Applications, 28:319-326, 1994.

69
S. C. Brenner and L. R. Scott.
The Mathematical Theory of Finite Element Methods.
Springer-Verlag, 1994.

68
B. Bagheri, L. R. Scott, and S. Zhang.
Implementing and using high-order finite element methods.
Finite Elements in Analysis & Design, 16:175-189, 1994.

67
W. G. Pritchard, P. Saavedra, S. J. Tavener, and L. R. Scott.
Theoretical issues arising in the modeling of viscous free-surface flows.
In Free Boundaries in Viscous Flows, R.A. Brown and S.H. Davis, ed's, IMA Vol. in Math. & Its Applic., v. 61, pages 29-48. Springer-Verlag, 1994.

66
B. Bagheri, A. Ilin, and L. R. Scott.
Parallelizing UHBD for iPSC-860.
In Proceedings of the Intel Supercomputer Users' Group 1993 Annual Users' Conference, pages 295-299, St. Louis, MO, October 1993.

65
B. Bagheri, A. Ilin, and L. R. Scott.
Parallelizing UHBD.
Research Report UH/MD 167, Dept. Math., Univ. Houston, 1993.

64
B. Bagheri, T. W. Clark, and L. R. Scott.
Pfortran: a parallel dialect of Fortran.
Fortran Forum, 11:20-31, Sept. 1992.

63
T. W. Clark, R. v. Hanxleden, J. A. McCammon, and L. R. Scott.
Parallelization strategies for a molecular dynamics program.
In Proceedings of the Intel Technology Focus Conference, pages 59-70, Timberline Lodge, April 1992. Intel SSD.

62
B. Bagheri, L. R. Scott, and S. Zhang.
Details regarding the implementation of high-order finite element methods. Research Report UH/MD 156, Dept. Math., Univ. Houston, 1992.

61
Terry W. Clark, Reinhard v. Hanxleden, Ken Kennedy, Charles Koelbel, and L. R. Scott.
Evaluating parallel languages for molecular dynamics computations.
In Scalable High Performance Computing Conference, Williamsburg, 1992.

60
W. G. Pritchard, S. J. Tavener, and L. R. Scott. Numerical and asymptotic methods for certain viscous free-surface flows. Philos. Trans. Roy. Soc. London A, 340:1-45, 1992.

59
B. Bagheri, T. W. Clark, and L. R. Scott. Pfortran: a parallel extension of fortran (the Pfortran reference manual). Research Report UH/MD 124, Dept. Math., Univ. Houston, 1992.

58
T. W. Clark, J. A. McCammon, and L. R. Scott. Parallel molecular dynamics. In Proc. Fifth SIAM Conf. on Parallel Proc. for Sci. Comp., J. Dongarra et al. ed's, pages 338-344. Philadelphia: SIAM, 1992.

57
R. v. Hanxleden and L. R. Scott. Parallelizing dynamic processes on message passing architectures. In Proc. Fifth SIAM Conf. on Parallel Proc. for Sci. Comp., J. Dongarra et al. ed's, pages 451-455. Philadelphia: SIAM, 1992.

56
L. R. Scott and Shangyou Zhang Higher dimensional non-nested multigrid methods. Math. Comp., 58:457-466, 1992.

55
R. v. Hanxleden and L. R. Scott. Correctness and determinism of parallel monte carlo processes. J. Parallel Comp., 18:121-132, 1992.

54
W. G. Pritchard, S. J. Tavener, and L. R. Scott. Viscous free-surface flows over a perturbed inclined plane. Technical Report AM83, Penn State Univ., 1991.

53
S. B. Wineberg, J. F. McGrath, E. F. Gabl, L. R. Scott, and C. E. Southwell. Implicit spectral methods for wave propagation problems. J. Comp. Phys., 97:311-336, 1991.

52
Reinhard v. Hanxleden and L. R. Scott. Load balancing on message passing architectures. J. Dist.& Parallel Comp., 13:312-324, 1991.

51
A. S. Lodge, W. G. Pritchard, and L. R. Scott. The hole-pressure problem. IMA J. Applied Math., 46:39-66, 1991.

50
P. Saavedra and L. R. Scott. A variational formulation of free-boundary problems. Math. Comp., 57:451-475, 1991.

49
B. Bagheri, B. Raghavachari, and L. R. Scott. PC: a parallel extension of C (the PC reference manual). Research Report UH/MD 81, Dept. Math., Univ. Houston, 1990.

48
B. Bagheri, B. Raghavachari, and L. R. Scott. Sharing variables in parallel programs. Research Report UH/MD 79, Dept. Math., Univ. Houston, 1990.

47
John Morgan and L. R. Scott. The dimension of the space of piecewise-polynomials. Research Report UH/MD 78, Dept. Math., Univ. Houston, 1990.

46
L. R. Scott and B. Bagheri. Software environments for the parallel solution of partial differential equations. In Computing Methods in Applied Sciences and Engineering IX, R. Glowinski and A. Lichnewsky, eds., pages 378-392. Philadelphia: SIAM, 1990.

45
L. R. Scott and S. Zhang. Finite element interpolation of non-smooth functions satisfying boundary conditions. Math. Comp., 54:483-493, 1990.

44
C. Johnson and L. R. Scott. An analysis of quadrature errors in second-kind boundary integral methods. SIAM J. Num. Anal., 26:1356-1382, 1989.

43
R. E. Bank and L. R. Scott. On the conditioning of finite element equations with highly refined meshes. SIAM J. Num. Anal., 26:1383-1394, 1989.

42
L. B. Scott and L. R. Scott. An efficient method for data smoothing via least-squares polynomial fitting. SIAM J. Num. Anal., 26:681-692, 1989.

41
D. N. Arnold, L. R. Scott, and M. Vogelius. Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Ann. Scuola Norm. Sup. Pisa Cl. Sci.-Serie IV, XV:169-192, 1988.

40
L. T. Watson and L. R. Scott. Solving Galerkin approximations to nonlinear two-point boundary value problems by a globally convergent homotopy method. SIAM J. Sci. Stat. Comp., 8:768-789, 1987.

39
L. R. Scott. What kind of workstation should I buy? Seven-fold criteria for hardware and software. In New Computing Environments: Microcomputers in Large-Scale Computing, A. Wouk, ed., pages 158-166. Philadelphia: SIAM, 1987.

38
J. P. Hayes, L. R. Scott, et al. Hypercube computer research at The University of Michigan. In Hypercube Multiprocessors 1987, M. T. Heath, ed., pages 382-394. Philadelphia: SIAM, 1987.

37
L. R. Scott, J. M. Boyle, and B. Bagheri. Distributed data structures for scientific computation. In Hypercube Multiprocessors 1987, M. T. Heath, ed., pages 55-66. Philadelphia: SIAM, 1987.

36
L. R. Scott and M. Vogelius. Conforming finite element methods for incompressible and nearly incompressible continua. In Large Scale Computations in Fluid Mechanics, B. E. Engquist, et al., eds., volume 22 (Part 2), pages 221-244. Providence: AMS, 1985.

35
L. R. Scott and M. Vogelius. Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. M^2 A N (formerly R.A.I.R.O. Analyse Numérique), 19:111-143, 1985.

34
J. L. Bona, W. G. Pritchard, and L. R. Scott. Numerical schemes for a model for nonlinear dispersive waves. J. Comp Phys., 60:167-186, 1985.

33
L. R. Scott. Spatial discretization techniques for the Navier-Stokes equation: theoretical and computational results. In Computing Methods in Applied Sciences and Engineering VI, R. Glowinski and J. L. Lions, eds., pages 451-470. Amsterdam: North-Holland, 1984.

32
R. A. DeVore and L. R. Scott. Error estimates for Gaussian quadrature and weighted-L^1 polynomial approximation. SIAM J. Num. Anal., 21:400-412, 1984.

31
C. I. Goldstein and L. R. Scott. Optimal maximum norm estimates for some finite element methods for treating the Dirichlet problem. Calcolo 20, pages 1-52, 1983.

30
J. Pitkäranta and L. R. Scott. Error estimates for the combined spatial and angular approximations of the transport equation for slab geometry. SIAM J. Num. Anal., 20:922-950, 1983.

29
J. L. Bona, W. G. Pritchard, and L. R. Scott. A comparison of solutions of two model equations for long waves. In Fluid Dynamics in Astrophysics and Geophysics, N. R. Lebovitz, ed.,, volume 20, pages 235-267. Providence: Amer. Math. Soc., 1983.

28
R. Rannacher and L. R. Scott. Some optimal error estimates for piecewise linear finite element approximations. Math. Comp., 38:437-445, 1982.

27
J. L. Bona, W. G. Pritchard, and L. R. Scott. An evaluation of a model equation for water waves. Philos. Trans. Roy. Soc. London Ser. A 302, pages 457-510, 1981.

26
C. Johnson and L. R. Scott. A finite element method for problems in perfect plasticity using discontinuous trial functions. In Nonlinear Finite Element Analysis in Structural Mechanics, W. Wunderlich, et al., eds., pages 307-324. Berlin: Springer-Verlag, 1981.

25
L. R. Scott. On the choice of discretizations for solving p.d.e.'s on a multi-processor. In Elliptic Problem Solvers, M. Schultz, ed., pages 419-422. New York: Academic Press, 1981.

24
J. L. Bona, W. G. Pritchard, and L. R. Scott. A comparison of laboratory experiments with a model equation for water waves. Technical Report 100, Univ. of Essex Fluid Mechanics Research Institute, 1980.

23
J. L. Bona, W. G. Pritchard, and L. R. Scott. A posteriori error estimates for exact and approximate solutions of time-dependent problems. In Seminar on Numerical Analysis and Its Applications to Continuum Physics, Colecao ATAS 12, Sociedade Brasileira de Matematica, pages 102-111, 1980.

22
L. R. Scott. On the choice of discretizations for solving p.d.e.'s on the finite element machine. Internal Report 15, ICASE, 1980.

21
J. L. Bona, W. G. Pritchard, and L. R. Scott. Solitary-wave interaction. Physics of Fluids, 23:438-441, 1980.

20
T. Dupont and L. R. Scott. Polynomial approximation of functions in Sobolev spaces. Math. Comp., 34:441-463, 1980.

19
R. E. Meyers, C. Dopazo, E. E. O'Brien, and L. R. Scott. Application of probability densities and intermittency to random processes in environmental chemistry and hydrodynamics. In Advances in Environmental Science and Engineering, J. R. Pfafflin and E. N. Ziegler, eds., pages 128-148. New York: Gordon and Breach, 1979.

18
J. Douglas, Jr., T. Dupont, P. Percell, and L. R. Scott. A family of finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. R.A.I.R.O. Analyse Numérique/Numerical Analysis 13, pages 227-255, 1979.

17
R. Scott. Applications of Banach space interpolation to finite element theory. In Functional Analysis Methods in Numerical Analysis, M. Z. Nashed, ed., Springer Lecture Notes in Math. 701, pages 298-313. Berlin: Springer-Verlag, 1979.

16
T. Dupont and L. R. Scott. Constructive polynomial approximation in Sobolev spaces. In Recent Advances in Numerical Analysis, C. de Boor and G. H. Golub, eds., pages 3l-44. New York: Academic Press, 1978.

15
J. H. Bramble and L. R. Scott. Simultaneous approximation in scales of Banach spaces. Math. Comp., 32:947-954, 1978.

14
A. Calderón and L. R. Scott. Sobolev type inequalities for p < 1. Studia Math., LXII:75-92, 1978.

13
R. E. Meyers, E. E. O'Brien, and L. R. Scott. Random advection of chemically reacting species. J. Fluid Mech., 85:233-240, 1978.

12
R. E. Meyers, E. E. O'Brien, and L. R. Scott. Derivation of the probability density function for a stochastic nonlinear advection equation. Technical Report BNL 50732, Brookhaven National Laboratory, 1977.

11
R. Scott. A survey of displacement methods for the plate bending problem. In Formulations and Computational Algorithms in Finite Element Analysis, K.-J. Bathe, J. T. Oden, and W. Wunderlich, eds., pages 855-876. Cambridge: M. I. T. Press, 1977.

10
R. Scott. A sharp form of the Sobolev trace theorems. J. Func. Anal., 25:70-80, 1977.

9
R. Scott. A hexagonal finite element with one degree-of-freedom per hexagon. Int. J. Num. Methods in Eng., 10:958-959, 1976.

8
R. Scott. Optimal L^oo estimates for the finite element method on irregular meshes. Math. Comp., 30:681-697, 1976.

7
J. Bona and L. R. Scott. Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Duke Math. J., 43:87-99, 1976.

6
J. Morgan and L. R. Scott. A nodal basis for piecewise polynomials of degree 5. Math. Comp., 29:736-740, 1975.

5
R. Scott. Interpolated boundary conditions in the finite element method. SIAM J. Numer. Anal., 12:404-427, 1975.

4
R. Scott. continuity via constraints for 4th order problems. In Mathematical Aspects of Finite Elements in Partial Differential Equations, C. de Boor, ed., pages 171-193. New York: Academic Press, 1974.

3
R. Scott. Finite element convergence for singular data. Numer. Math., 21:317-327, 1973.

2
R. Scott. Finite element techniques for curved boundaries. PhD thesis, Massachusetts Institute of Technology, 1973.

1
A. Berger, R. Scott, and G. Strang. Approximate boundary conditions in the finite element method. Symposia Mathematica, 10:295-313, 1972.