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Mathematics Group

Publications 1983-2008


D. Ambrose and J. Wilkening, Global paths of time-periodic solutions of the Benjamin-Ono equation connecting arbitrary traveling waves, LBNL-1298E, 2008.

D.M. Ambrose and J. Wilkening, Time-periodic solutions of the Benjamin-Ono equation, LBNL-1306E, 2008.

J. Andrews and J.A. Sethian, Fast marching methods for the continuous traveling salesman problem, LBNL-1313E, 2008.

A. Arenas, A. Fernandez, and S. Gomez, A complex network approach to the determination of functional groups in the neural system of C. elegans, "Bio-Inspired Computing and Communication," Lect. Notes Comp. Sci. 5151 (2008), pp. 9-18.

A. Arenas, A. Fernandez, and S. Gomez, "Multiple resolution of the modular structure of complex networks," New J. Phys. 10 (2008), pp. 05039-053067.

A. Arenas, A. Fernandez, S. Fortunato, and S. Gomez, "Motif-based communities in complex networks," J. Phys. A: Mathematical and Theoretical, 41 (2008), pp. 224001-224009.

A. Arenas, A. Diaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, "Synchronization in complex networks," Phys. Rep., 469 (2008), pp. 93-153.

G.I. Barenblatt, "A mathematical model of turbulent drag reduction by high-molecular-weight polymeric additives in a shear flow," Phys. Fluids, 20 (2008), pp. 091702-1-091702-3.

G.I. Barenblatt, "Energy of Tycho's Supernova Remnant is increasing with time," Proc. Natl. Acad. Sci. USA, 105 (2008), pp 1124-1125.

G.I. Barenblatt, Shear flow laminarization by suspended heavy particles: theory and geophysical applications, Lawrence Berkeley Natl. Lab., MATH-PUB-5, January 2008.

J.J. Benedetto and J.J. Donatelli, "Frames and a vector valued ambiguity function," Proc. Asilomar Conference on Signals, Systems, and Computers, October 2008.

J. Borge and A. Arenas, A computational model to disentangle semantic information embedded in word association norms, arXiv:0812.3070v1 [cs.CL], 2008.

A. Chorin, "Monte Carlo without chains," Comm. Appl. Math. Comp. Sci., 3 (2008), pp. 77-93.

L. Danon, A. Arenas, and A. Diaz-Guilera, Impact of community structure on information transfer, Phys. Rev. E, 77 (2008), pp. 036103.

A. Diaz-Guilera and A. Arenas, "Phase patterns of coupled oscillators with application to wireless communication," Bio-Inspired Computing and Communication, Lect. Notes Comp. Sci., 5151 (2008), pp. 184-191.

M. Garzon, J.A. Sethian, and L. Gray, "Numerical simulation of non-viscous liquid pinch off using a coupled level set boundary integral method," Proc. Applied Mathematics and Mechanics, ICIAM 2007, Wiley, 2008.

M. Garzon, N. Bobillo-Ares, and J.A. Sethian, "Some free boundary problems in potential flow regime using a based Level Set method," Recent Advances in Fluid Mechanics, Nova Publishers, 2008.

D. Givon and I.G. Kevrekidis, "Multiscale integration schemes for jump-diffusion systems," SIAM Multiscale Model. Simul. (2008).

J. Huh and J.A. Sethian, "Exact sub-grid interface correction schemes for elliptic interface problems," LBNL-62333, Proc. Natl. Acad, Sci. USA, 105 (2008), pp. 9874--9879.

D.W. Knowles, J. Cardena, P. Abad, D.M. Ushizima, J.A. Sethian, S.S. Badve, and S.A. Lelièvre, "Epigenetic image-based screen for breast cancer," Ninth Principal Investigators Meeting for the Innovative Molecular Analysis Technologies (IMAT), Poster LBNL-1433E, 2008.

J. K. Kominiarczuk and W. F. Spotz, "Higher order compact generalized finite difference method," Applied Mathematics Principal Investigators' Meeting, Argonne National Lab, LBNL-1304E Abs., 2008.

S. Lozano, A. Arenas, and A. Sanchez, "Community connectivity and heterogeneity: clues and insights on cooperation on social networks," J. Econom. Interaction and Coordination, 3 (2008), pp. 183-199.

S. Lozano, A. Arenas, and A. Sanchez, "Mesoscopic structure conditions the emergence of cooperation on social networks," PLoS ONE, 3 (2008), pp. e1892-e1903.

C.I.O. Martins, R.M.S. Veras, G.L.B. Ramalho, F.N.S. Medeiros, and D. M. Ushizima, "Automatic microaneurysm detection and characterization through digital color fundus images," Brazilian Artificial Intelligence Community Conference, Tenth Brazilian Symposium on Neural Networks, Proc. IEEE SBRN, 2008.

J. Peraire and P.-O. Persson, "The compact discontinuous Galerkin (CDG) method for elliptic problems," SIAM J. Sci. Comput., 30 (2008), pp. 1806-1824.

P.-O. Persson and J. Peraire, "Newton-GMRES preconditioning for discontinuous Galerkin discretizations of the Navier-Stokes equations," SIAM J. Sci. Comput., 30 (2008), pp. 2709-2733.

M. Roper, T.M. Squires, and M.P. Brenner, "Symmetry unbreaking in the shapes of perfect projectiles," Phys. Fluids, (2008), 20:093606.

 M. Roper, R. Dreyfus, J. Baudry, M. Fermigier, J. Bibette, and H.A. Stone, "Do magnetic micro-swimmers move like eukaryotic cells?," Proc. Roy. Soc. A, (2008), 464:877-904.

J.A. Sethian and Y. Shan, "Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing," J. Comput. Phys., 227 (2008), pp. 6411-6447.

 X. Tu, A Three-level BDDC algorithm for saddle point problems, LBNL-1319E, 2008.

 X. Tu and J. Li, "A balancing domain decomposition method by constraints for advection-diffusion problems," Commun. Appl. Math. Comput. Sci., 3 (2008), pp. 25-60.

 X. Tu. and J. Li, "BDDC for nonsymmetric positive definite and symmetric indefinite problems," Proc. Eighteenth International Conference on Domain Decomposition Methods, 2008.

 D.M. Ushizima and E.W. Bethel, "Pattern recognition on biomedical datasets," SIAM Imaging Science Conference, 2008.

D. Ushizima, O. Rübel, P, Gunther Weber, E. W. Bethel, C. Aragon, C. Geddes, E. Cormier-Michel, B. Hamann, P. Messmer, and H. Hagen, "Automated analysis for detecting beams in laser wakefield simulations," 2008 Seventh International Conference on Machine Learning and Applications, Proc. IEEE ICMLA'08, 2008.

 M. Westdickenberg and J. Wilkening, Variational particle scheme for the porous medium equation and for the system of isentropic Euler equations, LBNL-1296E, 2008.

 J. Wilkening, A trust region method for the computation of quadrature rules for arbitrary families of functions, LBNL MATH-PUB-7, 2008.

 J. Wilkening, An infinite branching hierarchy of time-periodic solutions of the Benjamin-Ono equation, LBNL-1297E, 2008.

 J. Wilkening, Computation of stable representations of corner singularities of elliptic systems in the plane, LBNL MATH-PUB-8, 2008.

 J. Wilkening, Extended first order system least squares finite elements for the Lamè and Stokes equations on plane domains with corners and interface junctions, LBNL MATH-PUB-9, 2008.

J. Wilkening, "Inf-sup estimates for the Stokes problem in a periodic channel," SIAM J. Math. Anal., (2008).

J. Wilkening, Inf-sup estimates for the Stokes problem in a periodic channel, LBNL-1295E, 2008.

J. Wilkening and Jia Yu, A local construction of the Smith normal form of a matrix polynomial, LBNL-1294E, 2008.

J. Wilkening and A.E. Hosoi, "Shape optimization of a sheet swimming over a thin liquid layer," J. Fluid Mech., 601 (2008), pp. 25-61.

D. Willis, E. Israeli, P.-O. Persson, M. Drela, and J. Peraire, "Multifidelity approaches for the computational analysis and design of effective flapping wing vehicles," Proc. 46th AIAA Aerospace Sciences Meeting, Paper AIAA-2008-518, 2008.