[58] J. Glimm, A. Jaffe, and T. Spencer. Convergent expansion about mean field theory, II convergence of the expansion. Annals of Physics, 101:631

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10 10 [211] J. Glimm, J. W. Grove, and Y. Zhang. Interface tracking for axisymmetric flows. SIAM J. Sci. Comput., 24: , LANL report No. LA-UR [212] B. Cheng, J. Glimm, and D. H. Sharp. Multi-temperature multiphase flow model. ZAMP, 53: , [213] E. George, J. Glimm, X.-L. Li, A. Marchese, and Z.-L. Xu. A comparison of experimental, theoretical, and numerical simulation Rayleigh-Taylor mixing rates. Proc. National Academy of Sci., 99: , [214] J. Glimm, Yoon ha Lee, and Kenny Ye. A simple model for scale up error. Contemporary Mathematics, 295: , [215] J. Glimm, X.-L. Li, Y.-J. Liu, Z. L. Xu, and N. Zhao. Conservative front tracking with improved accuracy. SIAMJNA, 41: , [216] J. Glimm, X. L. Li, W. Oh, A. Marchese, M.-N. Kim, R. Samulyak, and C. Tzanos. Jet breakup and spray formation in a diesel engine. In Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics. Cambridge, MA, SUNY Stony Brook preprint No. susb-ams [217] S. I. Abarzhi, J. Glimm, and An-Der Lin. Rayleigh-Taylor instability for fluids with a finite density contrast. Phys. Fluids, 15: , [218] J. Glimm, S. Hou, Y. Lee, D. Sharp, and K. Ye. Solution error models for uncertainty quantification. Contemporary Mathematics, 327: , SUNYSB preprint LANL preprint LA-UR: [219] N. Stojić, J. W. Davenport, M. Komelj, and J. Glimm. Surface magnetic moment in α- uranium by density-functional theory. Phys. Rev. B, 68: , [220] E. George, J. Glimm, J. W. Grove, X.-L. Li, Y.-J. Liu, Z.-L. Xu, and N. Zhao. Simplification, conservation and adaptivity in the front tracking method. In T. Hou and E. Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pages Springer Verlag, Berlin and New York, [221] Wei Zhu, Xuena Wang, Yeming Ma, Manlong Rao, James Glimm, and John Kovach. Detection of cancer specific markers amidst massive mass spectral data. Proc. Nat. Aca. Sci., 100: , [222] L. Li, J. Glimm, and X.-L. Li. All isomorphic distinct cases for multi-component interfaces in a block. J. Comp. Appl. Mathematics, 152: , [223] S. I. Abarzhi, J. Glimm, and An-Der Lin. Dynamics of the Rayliegh-Taylor bubbles for fluids with a finite density contrast. Laser and Particle Beams, pages , Stony Brook University Preprint SUNYSB-AMS [224] S. I. Abarzhi, J. Glimm, and K. Nishihara. Rayleigh-Taylor instability and Richtmyer- Meshkov instabilities for fluids with a finite density contrast. Phys. Lett. A, 11:1 7, [225] B. Cheng, J. Glimm, H. Jin, and D. H. Sharp. Theoretical methods for the determination of mixing. Laser and Particle Beams, 21: , [226] J. Glimm, H. Jin, M. Laforest, F. Tangerman, and Y. Zhang. A two pressure numerical model of two fluid mixing. Multiscale Model. Simul., 1: , [227] James Glimm, Yunha Lee, David H Sharp, and Kenny Q Ye. Prediction using numerical simulations, A Bayesian framework for uncertainty quantification and its statistical challenge. In Bilal M. Ayyub and Nii O. Attoh-Okine, editors, Proceedings of the Fourth International Symposium on Uncertainty Modeling and Analysis (ISUMA 2003). IEEE, Computer Society, [228] R. Samulyak, J. Glimm, W. Oh, H. Kirk, and K. McDonald. Simulation of free surface MHD flows: Richtmyer - meshkov instability and applications. Lecture Notes Comput. Sci., 2667: , [229] S. Dutta, E. George, J. Glimm, X.-L. Li, A. Marchese, Z. L. Xu, Y. M. Zhang, J. W. Grove, and D. H. Sharp. Numerical methods for the determination of mixing. Laser and Particle Beams, 21: , LANL report No. LA-UR [230] S. Dutta, J. Glimm, J. W. Grove, D. H. Sharp, and Y. Zhang. A fast algorithm for moving interface problems. In V. Kumar et al., editor, Computational Science and Its Applications - ICCSA 2003, LNCS 2668, pages Springer-Verlag, Berlin Heidelberg, LANL report No. LA-UR [231] S. Dutta, J. Glimm, J. W. Grove, D. H. Sharp, and Y. Zhang. Spherical Richtmyer-Meshkov instability for axisymmetric flow. Mathematics and Computers in Simulations, 65: , University at Stony Brook preprint number AMS

11 [232] S. Dutta, J. Glimm, J. W. Grove, D. H. Sharp, and Y. Zhang. Error comparison in tracked and untracked spherical simulations. Computers and Mathematics with Applications, 48: , University at Stony Brook preprint number AMS and LANL report No. LA-UR [233] Y. Deng, J. Glimm, J. Davenport, X. Cai, and E. Santos. Performance models on QCDOC for molecular dynamics with coulomb potentials. International Journal of High Performance Computing Applications, 18: , SUNYSB-AMS [234] J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, Y. Yu, K. Ye, and M. Zhao. Statistical Riemann problems and a composition law for errors in numerical solutions of shock physics problems. SISC, 26: , University at Stony Brook Preprint Number SB-AMS-03-11, Los Alamos National Laboratory number LA-UR [235] J. Glimm, S. Hou, Y. Lee, D. Sharp, and K. Ye. Sources of uncertainty and error in the simulation of flow in porous media. Comp. and Applied Mathematics, 23: , SUNYSB preprint LANL preprint LA-UR [236] J. Glimm, X.-L. Li, and Z.-L. Xu. Front tracking algorithm using adaptively refined meshes. In Proceedings of the 2003 Chicago Workshop on adaptive Mesh Refinement Methods the Lecture Notes in Computational Science and Engineering, ISSN: [237] J. Glimm, H. Jin, and Y. Zhang. Front tracking for multiphase fluid mixing. In A. A. Mammoli and C. A. Brebbia, editors, Computational Methods in Multiphase Flow II, pages WIT Press, Southampton, UK, [238] H. Jin, X.-F. Liu, T. Lu, B. Cheng, J. Glimm, and D. H. Sharp. Rayleigh-Taylor mixing rates for compressible flow. Phys. Fluids, 17:1 10, [239] S. Dutta, E. George, J. Glimm, J. Grove, H. Jin, T. Lee, X. Li, D. H. Sharp, K. Ye, Y. Yu, Y. Zhang, and M. Zhao. Shock wave interactions in spherical and perturbed spherical geometries. Nonlinear Analysis, 63: , University at Stony Brook preprint number SB-AMS and LANL report No. LA-UR [240] James Glimm, M.-N. Kim, X.-L. Li, R. Samulyak, and Z.-L. Xu. Jet simulation in a diesel engine. In Computational Fluid and Solid Mechanics Elsevier Science, [241] E. George and J. Glimm. Self similarity of Rayleigh-Taylor mixing rates. Phys. Fluids, 17:1 13, Stony Brook University Preprint number SUNYSB-AMS [242] B. Cheng, J. Glimm, D. H. Sharp, and Y. Yu. A multiphase flow model for the unstable mixing of layered incompressible materials. Phys. of Fluids, 17(087102):1 8, LANL Preprint Number LA-UR Stony Brook University Preprint Number SUNYSB- AMS [243] M. A. Christie, J. Glimm, J. W. Grove, D. M. Higdon, D. H. Sharp, and M. M. Wood-Schultz. Error analysis and simulations of complex phenomena. Los Alamos Science, 29:2 25, [244] J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, Y. Yu, K. Ye, and M. Zhao. Errors in numerical solutions of spherically symmetric shock physics problems. Contemporary Mathematics, 371: , University at Stony Brook Preprint Number SB-AMS-04-03, Los Alamos National Laboratory number LA-UR [245] Y. Zhang, P. Drake, J. Glimm, J. Grove, and D. H. Sharp. Radiation coupled front tracking simulations for laser driven shock experiments. J. Nonlinear Analysis, 63:e1635 e1644, LANL report No. LA-UR [246] R. Samulyak, T. Lu, Y. Prykarpatskyy, J. Glimm, Z. Xu, and M. N. Kim. Comparison of heterogeneous and homogenized numerical models of cavitation. Int. J. Multiscale Comp. Eng., 4: , [247] Jian Du, Brian Fix, James Glimm, Xicheng Jia, Xiaolin Li, Yunhua Li, and Lingling Wu. A simple package for front tracking. J. Comput. Phys., 213: , [248] H. Jin, J. Glimm, and D. H. Sharp. Compressible two-pressure two-phase flow models. Phys. Lett. A, 353: , [249] X.-F. Liu, E. George, W. Bo, and J. Glimm. Turbulent mixing with physical mass diffusion. Phys. Rev. E, 73:056301, [250] J.-J. Liu, J. Glimm, and X.-L. Li. A conservative front tracking method. In F. Asakura, H. Aiso, S. Kawashima, Matsumura A, S. Nishibata, and K. Nishihara, editors, Hyperbolic Problems: Theory, Numerics, and Applications, pages Yokohama Publishers, Osaka, Japan,

12 12 [251] Xuena Wang, Wei Zhu, Kith Pradhan, Chen Ji, Yeming Ma, Oliver Semmes, James Glimm, and Joseph Mitchell. Feature extraction in the analysis of proteomic mass spectra. Proteomics, 7: , [252] Y. Yu, M. Zhao, T. Lee, N. Pestieau, W. Bo, J. Glimm, and J. W. Grove. Uncertainty quantification for chaotic computational fluid dynamics. J. Comput. Phys., 217: , Stony Brook Preprint number SB-AMS and LANL preprint number LA-UR [253] Z. L. Xu, M. Kim, T. Lu, W. Oh, J. Glimm, R. Samulyak, X. L. Li, and C. Tzanos. Discrete bubble modeling of unsteady cavitating flow. International Journal for Multiscale Computational Engineering, 4: , [254] E. George, J. Glimm, X.-L. Li, Y.-H. Li, and X.-F. Liu. The influence of scale-breaking phenomena on turbulent mixing rates. Phys. Rev. E, 73:016304, [255] H. Jin, J. Glimm, and D. H. Sharp. Entropy of averaging for compressible two-pressure twophase models. Phys. Lett. A, 360: , Stony Brook University Preprint number SUNYSB-AMS and Los Alamos National Laboratory. [256] J. Glimm and X. L. Li. Recent progress in turbulent mixing. In M. Legrand and M. Vandenboomgarde, editors, Proceedings of the 10th International Workshop on the Physics of Compressible Turbulent Mixing, July, Paris France, Stony Brook University Preprint SUNYSB-AMS-06-13, In Press. [257] J. Glimm and D. H. Sharp. Simulation vs. theory vs. experiment for complex fluid mixing flows. SIAM News, Stony Brook University Preprint SUNYSB-AMS [258] Z. Xu, M. Kim, T. Lu, W. Oh, J. Glimm, R. Samulyak, X. Li, and C. Tzanos. Discrete bubble modeling of unsteady cavitating flow. J. Multiscale Comp. Eng., 4: , [259] J. Glimm, B. Fix, X.-L. Li, J.-J. Liu, X.-F. Liu, T.-S. Liu, R. Samulyak, and Z.-L. Xu. Front tracking under TSTT. Proceedings of the IGPP-CalSpace Conference, Astronomical Society of the Pacific, 359:15, [260] G. Han, Y. Deng, J. Glimm, and G. Martyna. Error and timing analysis of multiple time stepping MD. Computational Physics Comm., 271: , [261] X.-F. Liu, Y.-H. Li, J. Glimm, and X.-L. Li. A front tracking algorithm for limited mass diffusion. J. Comput. Phys., 222: , Stony Brook University preprint number SUNYSB-AMS [262] Jinjie Liu, Hyun-Kyun Lim, James Glimm, and Xiaolin Li. A conservative front tracking method in N-dimensions. J. of Sci. Comp., 31: , Stony Brook University preprint number SUNYSB-AMS [263] Z. L. Xu, J. Glimm, Y. Zhang, and X. Liu. A multiscale front tracking method for compressible free surface flows. Chemical Engineering Science Journal, 62: , SB Preprint Number: SUNYSB-AMS [264] Y. Zhang, P. Drake, and J. Glimm. Numerical evaluation of the impact of laser preheat on interface structure and instability. Physics of Plasma, 14:1 10, SB Preprint Number: SUNYSB-AMS [265] T. Lu, R. Samulyak, and J. Glimm. Direct numerical simulation of bubbly flows and its applications. Phys. Fluid Eng., 129: , [266] R. Samulyak, J. Du, J. Glimm, and Z. Xu. A numerical algorithm for MHD of free surface flows at low magnetic reynolds numbers. J. Comput. Phys., 226: , [267] W. Bo, H. Jin, D. Kim, X. Liu, H. Lee, N. Pestieau, Y. Yu, J. Glimm, and J. Grove. Multi phase closure models. Computers & Mathematics with Applications, 56: , Stony Brook University Preprint Number SUNYSB-AMS [268] H. Jin and J. Glimm. Verification and validation for turbulent mixing. Nonlinear Analysis, 69: , Stony Brook University Preprint SUNYSB-AMS [269] J. Glimm, X. Ji, J. Li, X. Li, P. Zhang, T. Zhang, and Y. Zheng. Transonic shock formation in a rarefaction riemann problem for the 2D compressible euler equations. SIAM J. Appl. Math., 69: , University at Stony Brook preprint number AMS [270] H. Lim, Y. Yu, J. Glimm, X.-L. Li, and D. H. Sharp. Chaos, transport, and mesh convergence for fluid mixing. Acta Mathematicae Applicatae Sinica, 24: , Stony Brook University Preprint SUNYSB-AMS Los Alamos National Laboratory preprint number LA-UR

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