James Glimm: Publications

James Glimm: Publications

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U. Alon and D. Shvarts, Two-phase flow model for Rayleigh-Taylor and Richtmyer-Meshkov mixing, in Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing, R. Young, J. Glimm, and B. Boston, eds., World Scientific, Singapore, 1996.

L. An, J. Glimm, D. H. Sharp, and Q. Zhang, Scale up of flow in porous media, in Mathematical Modeling of Flow Through Porous Media, A. Burgeat, C. Carasso, S. Luckhaus, and A. Mikelic, eds., World Scientific, 1995, pp. 26--44.

J. Asvestas, B. Bielefeld, Y. Deng, J. Glimm, S. R. Simanca, and F. Tangerman, Electromagnetic scattering from large cavities: Iterative methods, Communications in Applied Analysis, 2 (1998), pp. 37--48.

J. Asvestas, B. Bielefeld, Y. Deng, J. Glimm, and F. Tangerman, Boundary integral methods applied to electromagnetic scattering problems on parallel processors, Proc. Amer. Math. Soc., 122 (1994), pp. 719--726.

A. Azevedo, D. Marchesin, B. Plohr, and K. Zumbrun, Nonuniqueness of solutions of Riemann problems caused by 2-cycles of shock waves, in Proceedings of the Fifth International Conference on Hyperbolic Problems Theory, Numerics, and Applications, J. Glimm, M. J. Graham, J. W. Grove, and B. J. Plohr, eds., World Scientific Publishers, Singapore, 1996, pp. 43--51.

D. Besnard, J. Glimm, J. F. Haas, R. M. Rauenzahn, V. Rupert, and D. Youngs, Numerical simulation of 2D shock-tube multimaterial flow, in Proceedings of Third International Workshop on The Physics of Compressible Turbulent Mixing at Royaumont France, 1991.

B. Boston, J. Glimm, J. W. Grove, R. Holmes, and Q. Zhang, Multiscale structure for hyperbolic waves, Studies in Advanced Mathematics, 3 (1997), pp. 1--9.

B. Bukiet, C. L. Gardner, J. Glimm, J. Grove, J. Jones, O. McBryan, R. Menikoff, and D. H. Sharp, Applications of front tracking to combustion, surface instabilities and two-dimensional Riemann problems, in Transactions of the Third Army Conference on Applied Mathematics and Computing, ARO Report No. 86--1, 1986, pp. 223--243.

G. Campbell, Y. Deng, J. Glimm, Y. Wang, Q. Yu, M. Eisenberg, and A. Grollman, Analysis and prediction of protein binding on DNA pattern recognition of hydrogen bonds, J. Comp. Chemistry, 17 (1996), pp. 1712--1725.

G. Campbell, Y. Deng, J. Glimm, and Q. Yu, Analysis and prediction of protein binding on dna: pattern recognition of hydrogen bonds, mardi gras conference on computational science, Louisiana State University, 1993.

G.-Q. Chen and J. Glimm, Shock capturing and global solutions to the compressible Euler equations, Report No. SUNYSB-AMS-94-19, State Univ. of New York at Stony Brook, 1994.

------------------------------------, Global solutions to the compressible Euler equations with geometrical structure, Commun. Math. Phys., 180 (1996), pp. 153--193.

------------------------------------, Global solutions to the cylindrically symmetric rotating motion of isentropic gases, ZAMP, 47 (1996), pp. 353--372.

Y. Chen, Y. Deng, J. Glimm, and G. Li, Parallel interface methods for multi-phase flow problems on i PSC/860, in Intel Supercomputer Systems Conference Proceedings: Technology Focus Conference, 1992, pp. 377--391.

Y. Chen, Y. Deng, J. Glimm, G. Li, D. H. Sharp, and Q. Zhang, A renormalization group scaling analysis for compressible two-phase flow, Phys. Fluids A, 5 (1993), pp. 2929--2937.

Y. Chen, J. Glimm, D. Saltz, D. H. Sharp, and Q. Zhang, A two-phase flow formulation for the Rayleigh-Taylor mixing zone and its renormalization group solution, in Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing, R. Young, J. Glimm, and B. Boston, eds., World Scientific, Singapore, 1996.
ISBN 981-02-2910-0.

Y. Chen, J. Glimm, D. H. Sharp, and Q. Zhang, A two-phase flow model of the Rayleigh-Taylor mixing zone, Phys. Fluids, 8 (1996), pp. 816--825.

B. Cheng, J. Glimm, D. Saltz, and D. H. Sharp, Boundary conditions for a two pressure two phase flow model, Physica D, (1998).
submitted.

I.-L. Chern, J. Glimm, O. McBryan, B. Plohr, and S. Yaniv, Front tracking for gas dynamics, J. Comput. Phys., 62 (1986), pp. 83--110.

W. K. Chui, J. Glimm, F. M. Tangerman, A. P. Jardine, and J. S. Madsen, Modeling of resin transfer molding, in Proceedings of the First Regional Symposium on Manufacturing Science and Technology, Stony Brook, New York, 1995.

W. K. Chui, J. Glimm, F. M. Tangerman, A. P. Jardine, J. S. Madsen, T. M. Donnellan, and R. Leek, Process modeling in resin transfer molding as a method to enhance product quality, SIAM Review, 39 (1997), pp. 714--727.

------------------------------------, Porosity migration in RTM, in Numerical Methods in Thermal Problems, Volume IX, Part 2, R. W. Lewis and P. Durbetaki, eds., Swansea U.K., 1995, Pineridge Press, pp. 1323--1333.

W. K. Chui, J. Glimm, F. M. Tangerman, H. Zhang, and V. Prasad, A parallel algorithm for multizone, multiphase systems with application to crystal growth, J. Crystal Growth, 180 (1997), pp. 534--542.

P. Daripa, J. Glimm, J. Grove, W. B. Lindquist, and O. McBryan, Reservoir simulation by the method of front tracking, in Proc. of IFE/SSI seminar on Reservoir Description and Simulation with Emphasis on EOR, Oslo, 1986, Institute for Energy Technology and Scientific Software-Intercomp.

P. Daripa, J. Glimm, W. B. Lindquist, M. Maesumi, and O. McBryan, On the simulation of heterogeneous petroleum reservoirs, in In: Numerical Simulation in Oil Recovery, M. Wheeler, ed., Springer Verlag, New York, 1988, pp. 89--104.

P. Daripa, J. Glimm, W. B. Lindquist, and O. McBryan., Polymer floods: A case study of nonlinear wave analysis and of instability control in tertiary oil recovery, SIAM J. Appl. Math., 48 (1988), pp. 353--373.

A. de Souza and D. Marchesin, Singularities in contact curves, in Proceedings of the Fifth International Conference on Hyperbolic Problems: Theory, Numerics, and Applications, J. Glimm, M. J. Graham, J. W. Grove, and B. J. Plohr, eds., World Scientific Publishers, Singapore, 1996.

Y. Deng, Chinese Translation of ``The Mathematical Sciences, Technology and Economic Competitiveness'' (Ed. J. Glimm, 1991), Nankai University Press, 1992.

Y. Deng and J. Glimm, Parallel interface methods in 3D on parallel processors, in Proceedings of the IMACS First International Computational Physics, Computational Physics Communication Supplement, North-Holland, 1990.

------------------------------------, The performance of parallel interface algorithms on distributed-memory MIMD systems, in Computing Systems in Engineering, A. K. Noor and B. H. V. Topping, eds., Pergamon Press, Oxford, 1991.

------------------------------------, Fluid dynamics using interface methods on parallel processors, in Parallel CFD. Implementations and Results Using Parallel Computers, H. D. Simon, ed., MIT Press, Cambridge, 1992, pp. 257--270.

Y. Deng, J. Glimm, and D. H. Sharp, Perspectives on parallel computing, Daedalus, 12 (1992), pp. 31--52.

------------------------------------, Mixing and chaotic microstructure, Los Alamos Science, 21 (1993), pp. 124--132.

Y. Deng, J. Glimm, Y. Wang, and Q. Zhang, Parallel algorithms for fluid interface problems, in Transactions of the Eighth Army Conference on Applied Mathematics and Computing, Rep. No. 90-1, Army Research Office, 1990, pp. 497--509.

Y. Deng, J. Glimm, Q. Yu, and M. Eisenberg, Global minimization for problems with multiple local minima, Appl. Math. Lett., 6 (1993), pp. 89--90.

J. Dimock and J. Glimm, Measures on the Schwartz distribution space and applications to quantum field theory, Adv. Math., 12 (1974), pp. 58--83.

C. Fithian, C. L. Gardner, J. Glimm, J. Grove, O. McBryan, J. Scheuermann, R. Menikoff, and D. H. Sharp, Interactions, bifurcations, and instabilities of hydrodynamic surfaces: A conference report, in Transactions of the Fourth Army Conference on Applied Mathematics and Computing, U.S. Army Research Office, 1987, pp. 1--20.
ARO Report No. 87--1.

L. Fonseca, J. Glimm, and W. B. Lindquist, An analysis of field data permeability, Report No. SUNYSB-AMS-92-16, State Univ. of New York at Stony Brook, 1992.

A. Friedman, J. Glimm, and J. Lavery, The Mathematical and Computational Sciences in Emerging Manufacturing Technologies and Management Practices, SIAM, Philadelphia, 1992.

F. Furtado, J. Glimm, J. Grove, X.-L. Li, W. B. Lindquist, R. Menikoff, D. H. Sharp, and Q. Zhang, Front tracking and the interaction of nonlinear hyperbolic waves, in Lecture Notes in Engineering, vol. 43, New York, 1989, Springer-Verlag, pp. 99--111.
Proceedings of the US-ROC Joint Symposium.

F. Furtado, J. Glimm, W. B. Lindquist, and F. Pereira, Multi length scale calculations of mixing length growth in tracer floods, in Proceedings of the Emerging Technologies Conference, F. Kovarik, ed., Institute for Improved Oil Recovery, U. Houston, Houston, TX, 1990, pp. 251--259.

------------------------------------, Characterization of mixing length growth for flow in heterogeneous porous media, SPE 21233, 1991.

F. Furtado, J. Glimm, W. B. Lindquist, F. Pereira, and Q. Zhang, Time dependent anomalous diffusion for flow in multi-fractal porous media, in Proceedings of the Workshop on Numerical Methods for the Simulation of Multiphase and Complex Flow, T. M. M. Verheggan, ed., vol. 398 of Lecture Notes in Physics, Springer-Verlag, New York, 1992, pp. 79--89.

X. Garaizar, J. Glimm, and W. Guo, Elastic deformation and slug flow as applications of front tracking, in Transactions of the Seventh Army Conference on Applied Mathematics and Computing, Rep. No. 90-1, Army Research Office, 1990.

C. L. Gardner, J. Glimm, J. Grove, O. McBryan, R. Menikoff, D. H. Sharp, and Q. Zhang, A study of chaos and mixing in Rayleigh-Taylor and Richtmyer-Meshkov unstable interfaces, in Proceedings of the International Conference on 'The Physics of Chaos and Systems Far from Equilibrium' (CHAOS' 87), Monterey, CA, USA, Jan. 11--14, 1987, M. Duong-van and B. Nichols, eds., 1988.
Special Issue of Nuclear Physics B (proceedings supplements section).

C. L. Gardner, J. Glimm, O. McBryan, R. Menikoff, D. Sharp, and Q. Zhang, The dynamics of bubble growth for Rayleigh-Taylor unstable interfaces, Phys. Fluids, 31 (1988), pp. 447--465.

J. Glimm, On a certain class of operator algebras, Trans. Amer. Math. Soc., 95 (1960), pp. 318--340.

------------------------------------, A Stone-Wierstrass theorem for $C^*$-algebras, Ann. of Math., 72 (1960), pp. 216--244.

------------------------------------, Two cartesian products which are Euclidean spaces, Bull. Soc. Math. France, 88 (1960), pp. 131--135.

------------------------------------, Locally compact transformation groups, Trans. Amer. Math. Soc., 101 (1961), pp. 124--138.

------------------------------------, Type I $C^*$-algebras, Ann. of Math., 73 (1961), pp. 572--612.

------------------------------------, Families of induced representations, Pacific J. Math., 12 (1962), pp. 885--911.

------------------------------------, Formal stability of Hamiltonian systems, Comm. Pure Appl. Math., 17 (1964), pp. 509--526.

------------------------------------, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math., 18 (1965), pp. 697--715.

------------------------------------, The Schr\"odinger equation for quantum fields with nonlinear nonlocal scattering, Comm. Math. Phys., 2 (1966), pp. 271--300.

------------------------------------, Yukawa coupling of quantum fields in two dimensions, I, Comm. Math. Phys., 5 (1967), pp. 343--386.

------------------------------------, Yukawa coupling of quantum fields in two dimensions, II, Comm. Math. Phys., 6 (1967), pp. 61--76.

------------------------------------, Boson fields with nonlinear selfinteraction in two dimensions, Comm. Math. Phys., 8 (1968), pp. 12--25.

------------------------------------, Boson fields with the :$\phi^4 $: Interaction in three dimensions, Comm. Math. Phys., 10 (1968), pp. 1--47.

------------------------------------, The foundations of quantum field theory, Adv. Math., 3 (1969), pp. 101--125.

------------------------------------, Models for quantum field theory, in International School of Physics, E. Fermi, Course XLV, R. Jost, ed., Academic Press, 1969.

------------------------------------, Mathematical problems in the foundations of quantum field theory, in Lectues in Modern Analysis and Applications, II, C. T. Taam, ed., vol. 140 of Lecture Notes in Mathematics, Springer-Verlag, N.Y, 1970.

------------------------------------, Quantum field theory models, Actes Congres. Intern. Math., Tome 3 (1970), pp. 3--8.

------------------------------------, Analysis over infinite dimensional space and application to quantum field theory, in Proceedings of International Congress of Mathematicians, Vancouver, 1974, pp. 119--125.

------------------------------------, The mathematics of quantum fields, Adv. Math., 16 (1975), pp. 221--232.

------------------------------------, Book review: Mathematical statistical mechanics; statistical mechanics and mathematical problems; phase transitions and critical phenomena, Bulletin of the American Mathematical Society, 82 (1976), pp. 673--676.

------------------------------------, Cluster expansions and their application to the n-particle structure of weakly coupled quantum field models, in Mathematical Physics and Physical Mathematics, K. Maurin and R. Raczka, eds., Polish Scientific Publishers, Warsaw, 1976, pp. 15--18.

------------------------------------, Particles and fields, in Proceedings of the Steklov Institute, 1978.

------------------------------------, Singularities in fluid dynamics, in Mathematical Problems in Theoretical Physics, R. Schrader and D. A. Uhlenbrock, eds., vol. 153 of Lecture Notes in Physics, Springer Verlag, New York, 1982.

------------------------------------, Tracking of interfaces in fluid flow: Accurate methods for piecewise smooth problems, transonic shock and multidimensional flows, in Advances in Scientific Computing, R. E. Meyer, ed., Academic Press, New York, 1982.

------------------------------------, Theoretical problems and numerical results for nonlinear conservation laws, Contemporary Mathematics, 17 (1983), pp. 1--8.

------------------------------------, An algorithm for solution of 2D Riemann problems -- preliminary version.
unpublished, 1984.

------------------------------------, Computer chess, an important gambit in AI quest, SIAM News, 6 (1985), p. 3.

------------------------------------, Elementary waves and Riemann solutions: Their theory and their role in science, in Proceedings of Seminar on Differential Equations, Hsinchu, Taiwan, 1985.

------------------------------------, The role of better algorithms, in Frontiers of Supercomputing, N. Metropolis, D. Sharp, W. Worlton, and K. Ames, eds., U. California Press, Berkeley, Cal., 1986.

------------------------------------, The bukiet-jones theory of weak detonation waves in curvilinear geometry, in Wave Motion: Theory Modelling and Computation, A. Chorin and A. Majda, eds., Springer-Verlag, New York, 1987, pp. 74--84.

------------------------------------, Fueling the 21 century, in SIAM News, 1987.

------------------------------------, The interactions of nonlinear hyperbolic waves: A conference report, in Proceedings of the Fifth Army Conference on Applied Mathematics and Computing, 1987.

------------------------------------, Interface instabilities and entrainment, in Advances in Multiphase Flow and Related Problems, G. Papanicolaou, ed., SIAM, Philadelphia, 1987, pp. 75--80.

------------------------------------, Scientists map strategies of modeling the AIDS epidemic, in Siam News, 1988, p. 1.

------------------------------------, The continuous structure of discontinuities, in PDEs and Continuum Models of Phase Transitions, M. Rascle, D. Serre, and M. Slemrod, eds., vol. 344 of Lect. Notes in Phys., Springer-Verlag, New York--Heidelberg--Berlin, 1989, pp. 177--186.

------------------------------------, The interactions of nonlinear hyperbolic waves, Comm. Pure Appl. Math., 41 (1989), pp. 569--590.

------------------------------------, Nonuniqueness of solutions for Riemann problems, in Nonlinear Hyperbolic Equations---Theory, Computational Methods, and Applications, J. Ballman and R. Jeltsch, eds., vol. 24 of Notes on Numerical Fluid Mechanics, Vieweg, 1989, pp. 169--178.

------------------------------------, A review of interface methods for fluid computations, in Computational Methods for Subsurface Hydrology, G. Gambolati, A. Rinaldo, C. A. Brebbia, and G. F. Pinder, eds., Springer-Verlag, New York, 1990, pp. 421--432.

------------------------------------, Scientific computing: von Neumann's vision, today's realities and the promise of the future, in The Legacy of John von Neumann, J. Glimm and J. Impagliazzo, eds., Amer. Math. Soc., Providence, 1990, pp. 185--196.

------------------------------------, ed., The Mathematical Sciences, Technology and Economic Competitiveness, National Academy of Sciences Press, 1991.

------------------------------------, Nonlinear and stochastic phenomena: The grand challenge for partial differential equations, SIAM Rev., 33 (1991), pp. 626--643.

------------------------------------, Nonlinear waves: Overview and problems, in Multidimensional Hyperbolic Problems and Computations, J. Glimm and A. Majda, eds., vol. 29 of IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York--Heidelberg--Berlin, 1991, pp. 89--106.

------------------------------------, Stochastic partial differential equations and the chaotic mixing of fluids, in Anais do $19^o$ Col\'oquio Brasileiro Matem\'atica, M. J. Pac\'\ifico, ed., Instituto de Matem\'atica Pura e Aplicada, Rio de Janeiro, 1993.

------------------------------------, Mathematics speaks to industry (and listens): The Stony Brook program in industrial mathematics, SIAM News, 28 (1995), p. 10.

------------------------------------, Turbulent diffusion revisited, SIAM News, 28 (1995), p. 6.

J. Glimm, M. J. Graham, J. Grove, X.-L. Li, T. M. Smith, D. Tan, F. Tangerman, and Q. Zhang, Front tracking in two and three dimensions, Computers Math. Applic., 35 (1998), pp. 1--11.

J. Glimm, M. J. Graham, T. M. Smith, and F. Tangerman, Stochastic simulations of fluid mixing and other applications of the front tracking method, in High Performance Computing 1996, A. Tentner, ed., Society for Computer Simulation, San Diego, 1996.

J. Glimm, J. Grove, X. L. Li, and N. Zhao, Non-oscillatory front tracking and strong shock-contact interactions in the Richtmyer-Meshkov instability, (1998).
In preparation.

------------------------------------, Simple front tracking, Contemporary Mathematics, (1999).
Submitted.

J. Glimm, J. Grove, W. B. Lindquist, O. McBryan, and G. Tryggvason, The bifurcation of tracked scalar waves, SIAM J. Comput., 9 (1988), pp. 61--79.

J. Glimm, J. Grove, and X.-Li, Three remarks on the front tracking method, in Proceedings of the Conference in Taormina, Sicily, 1987.

J. Glimm, J. W. Grove, Y. Chen, and X.-L. Li, Chaotic mixing at unstable interfaces, in 3rd International Workshop on the Physics of Compressible Turbulent Mixing, CEA DAM, 1991, pp. 19--28.

J. Glimm, J. W. Grove, X.-L. Li, K.-M. Shyue, Q. Zhang, and Y. Zeng, Three dimensional front tracking, SIAM J. Sci. Comp., 19 (1998), pp. 703--727.

J. Glimm, J. W. Grove, X.-L. Li, R. Young, Q. Zhang, and Y. Zeng, Front tracking: A parallelized approach for internal boundaries and interfaces, in Applied Parallel Computing. Lecture Notes in Computer Science 1041, J. Dongarra, K. Masden, and J. Wasniewski, eds., Springer Verlag, Berlin, Heidelberg, New York, 1996, pp. 257--266.

J. Glimm, W. Guo, and Q. Zhang, The laminar to slug flow transition in Hele-Shaw flow, Tech. Rep. preprint, Courant Institute, 1989.

J. Glimm, E. Isaacson, W. B. Lindquist, O. McBryan, and S. Yaniv, Statistical fluid dynamics II: The influence of geometry on surface instabilities, in Frontiers in Applied Mathematics, vol. 1, SIAM, Philadelphia, PA, 1983, pp. 137--160.

J. Glimm, E. Isaacson, D. Marchesin, and O. McBryan, Applications of the random choice method to two-phase problems in two dimensions, in Seminar on Numerical Analysis and its Applications to Continuum Physics, Rep. No. ATAS SBM-IMPA (12), 1980, pp. 148--151.

------------------------------------, A shock tracking method for hyperbolic systems, in Proceedings of the 1980 Army Numerical Analysis and Computers Conference, Rep. No. 80-3, Army Research Office, 1980, pp. 1--18.

------------------------------------, Front tracking for hyperbolic systems, Adv. Appl. Math., 2 (1981), pp. 91--119.

J. Glimm and A. Jaffe, A $\lambda \phi^4 $ quantum field theory without cutoffs. I., Phys. Rev., 176 (1968), pp. 1945--1951.

------------------------------------, A Yukawa interaction in infinite volume, Comm. Math. Phys., 11 (1968), pp. 9--18.

------------------------------------, An infinite renormalization of the Hamiltonian is necessary, J. Math. Phys., 10 (1969), pp. 2213--2214.

------------------------------------, A model for Yukawa quantum field theory, Phys. Rev. Letters, 23 (1969), pp. 1362--1365.

------------------------------------, Singular perturbations of self adjoint operators, Comm. Pure Appl. Math., 22 (1969), pp. 401--414.

------------------------------------, The energy momentum spectrum and vacuum expectation values in quantum field theory, J. Math. Phys., 11 (1970), pp. 3335--3338.

------------------------------------, The $\lambda \Phi^4_2$ quantum field theory without cutoffs, II, the field operators and the approximate vacuum, Ann. of Math., 91 (1970), pp. 362--401.

------------------------------------, The $\lambda \Phi^4_2$ quantum field theory without cutoffs, III, the physical vacuum, Acta Math., 125 (1970).

------------------------------------, Rigorous quantum field theory models, Bull. Amer Math. Soc., 76 (1970), pp. 407--410.

------------------------------------, Self-adjointness of the Yukawa$_2$ Hamiltonian, Annals of Physics, 60 (1970), pp. 321--383.

------------------------------------, The energy momentum spectrum and vacuum expectation values in quantum field theory II, Comm. Math. Phys., 22 (1971), pp. 1--22.

------------------------------------, Positivity and self adjointness of the $P(\phi)_2$ Hamiltonian, Comm. Math. Phys., 22 (1971), pp. 253--258.

------------------------------------, Quantum field theory models, in 1970 Les Houches Summer School Lectues, C. DeWitt and R. Stora, eds., Gordon and Breech, New York, 1971.

------------------------------------, The Yukawa$_2$ quantum field theory without cutoffs, J. Funct. Anal., 7 (1971), pp. 323--357.

------------------------------------, The $\Phi^4 _2$ quantum field theory without cutoffs. IV, perturbations of the Hamiltonian, J. Math. Phys., 13 (1972), pp. 1568--1584.

------------------------------------, Boson quantum field models, in Mathematics of Contemporary Physics, R. Streater, ed., Academic Press, New York, 1972.

------------------------------------, The particle search in a quantum field model, Bull Amer. Math. Soc., 79 (1973), pp. 979--980.

------------------------------------, Positivity of the $\Phi^4 _3$ Hamiltonian, Fort. der Physik, 21 (1973), pp. 327--376.

------------------------------------, What is renormalization?, in Proceedings of Symposia in Pure Mathematics, D. C. Spencer, ed., vol. 23, Amer. Math. Soc, Providence, 1973.

------------------------------------, $\Phi^4_2$ quantum field model in the single phase region: Differentiability of the mass and bounds on critical exponents, Phys. Rev. D, 10 (1974), pp. 536--539.

------------------------------------, Critical point dominance in quantum field models, Ann. Inst. H. Poincar\'e, 21 (1974), pp. 27--41.

------------------------------------, The entropy principle for vertex functions in quantum field models, Ann. Inst. H. Poincar\'e, 21 (1974), pp. 1--25.

------------------------------------, A remark on the existence of $\Phi^4_4$, Phys. Rev. Lett., 33 (1974), pp. 440--442.

------------------------------------, Absolute bounds on vertices and coupling, Ann. Inst. H. Poincar\'e, 22 (1975), pp. 97--107.

------------------------------------, Critical problems in quantum fields, in Colloques Internationaux C.N.R.S., Marseille, 1975, pp. 146--156.

------------------------------------, On the approach to the critical point, Ann. Inst. H. Poincar\'e,, 22 (1975), pp. 109--122.

------------------------------------, $\phi^j$ bounds in $P(\phi )_2$ quantum field models, in Colloques Internationaux C.N.R.S., Marseille, 1975, pp. 146--156.

------------------------------------, Three-particle structure of $\phi^4$ interactions and the scaling limit, Phys. Rev. D, 11 (1975), pp. 2816--2827.

------------------------------------, Two and three body equation, Comm. Math. Phys., 44 (1975), pp. 193--320.

------------------------------------, Particles and scaling for lattice fields and ising models, Comm. Math. Phys., 51 (1976), pp. 1--13.

------------------------------------, Critical exponents and elementary particles, Comm. Math. Phys., 52 (1977), pp. 203--209.

------------------------------------, Instantons in a U(1) lattice gauge theory: A coulomb dipole gas, Comm. Math. Phys., 56 (1977), pp. 195--212.

------------------------------------, Meron pairs and quark confinement, Phys. Rev. Lett., 44 (1977), pp. 277--278.

------------------------------------, Quark trapping for lattice U(1) gauge fields, Phys. Letters, 66B (1977), pp. 67--69.

------------------------------------, Droplet model of quark confinement, Phys. Rev. Lett, D18 (1978).

------------------------------------, Multiple meron solutions of the classical yang-mills equation, Phys. Lett. B, 73 (1978), pp. 167--170.

------------------------------------, Charges, vortices and confinement, Nuclear Physics, B149 (1979), pp. 49--60.

J. Glimm and A. Jaffe, A note on reflection positivity, Lett. Math. Phys., 3 (1979), pp. 337--378.

J. Glimm and A. Jaffe, The resummation of one particle lines, Comm. Math. Phys., 67 (1979), pp. 267--293.

------------------------------------, The coupling constant in a $\phi^4$ field theory, in Recent Develop. in Gauge Theories, G. t'Hooft et al., ed., Plenum Press, New York, 1980.

J. Glimm and A. Jaffe, Quantum Physics: A Functional Integral Point of View, Springer-Verlag, New York, 1981.

J. Glimm and A. Jaffe, Collected Papers, Vol I, II, Birkhauser, Boston, 1985.

------------------------------------, Expansions in statistical physics, Comm. Pure Appl. Math., 38 (1985), pp. 613--630.

J. Glimm and A. Jaffe, Quantum Physics: A Functional Integral Point of View, Second Edition, Springer-Verlag, New York, 1987.

J. Glimm, A. Jaffe, and T. Spencer, The particle structure of the weakly coupled $P(\phi)$ model and other applications of high temperature expansions, in Constructive quantum field theory, G. Velo and A. Wightman, eds., Lecture Notes in Physics, Springer-Verlag, Berlin, 1973.

------------------------------------, The wightman axioms and particle structure in the $P(\phi)_2$ quantum field model, Ann. Math., 100 (1974), pp. 85--632.

------------------------------------, Existence of phase transitions for $\Phi^4_2$ quantum fields, in Colloques Internationaux C.N.R.S., Marseille, 1975, pp. 175--184.

------------------------------------, Phase transitions for $\Phi^4_2$ quantum fields, Comm. Math. Phys., 45 (1975), pp. 203--216.

------------------------------------, Convergent expansion about mean field theory, Annals of Physics, 101 (1976), pp. 610--630.

------------------------------------, Convergent expansion about mean field theory, II convergence of the expansion, Annals of Physics, 101 (1976), pp. 631--669.

------------------------------------, Phase transitions in $P(\phi )_2$ quantum fields, Bulletin of the American Math Society, 82 (1976), pp. 713--715.

J. Glimm and R. V. Kadison, Unitary operators in $C^*$-algebras, Pacific J. Math., 10 (1960), pp. 547--556.

J. Glimm, H. Kim, D. Sharp, and T. Wallstrom, A stochastic analysis of the scale up problem for flow in porous media, Computational and Applied Mathematics, 17 (1998), pp. 67--79.

J. Glimm, C. Klingenberg, O. McBryan, B. Plohr, D. Sharp, and S. Yaniv, Front tracking and two-dimensional Riemann problems: A conference report, in Proceedings of the Second Army Conference on Applied Mathematics and Computing, Rep. No. 84-3, Army Research Office, 1984, pp. 513--533.

------------------------------------, Front tracking and two-dimensional Riemann problems, Adv. Appl. Math., 6 (1985), pp. 259--290.

J. Glimm, H. Kranzer, D. Tan, and F. Tangerman, Wave fronts for Hamilton-Jacobi equations: The general theory for Riemann solutions in $\rmR^n$, Commun. Math. Phys., 187 (1997), pp. 647--677.

J. Glimm and P. Lax, Decay of solutions of systems of hyperbolic conservation laws, Bull. Amer. Math. Soc., 73 (1967), p. 105.

------------------------------------, Decay of Solutions of Systems of Hyperbolic Conservation Laws, Memoirs of the AMS, 101, 1970.

------------------------------------, Problems in nonlinear hyperbolic equations, in Proceedings of Symposia in Pure Mathematics, S. S. Chern and S. Smale, eds., vol. 16, Amer. Math. Soc, Providence, 1970.

J. Glimm, X.-L. Li, R. Menikoff, D. H. Sharp, and Q. Zhang, A numerical study of bubble interactions in Rayleigh-Taylor instability for compressible fluids, Phys. Fluids A, 2 (1990), pp. 2046--2054.

------------------------------------, vol. 29 of IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York--Heidelberg--Berlin, 1991.

------------------------------------, Statistical theories of Rayleigh-Taylor instability for compressible fluids, in Advances in Compressible Turbulent Mixing, W. Dannevik, A. Buckingham, and C. Lieth, eds., National Technical Information Service, U.S. Department of Commerce, 5285 Port Royal Rd. Springfield VA 22161, 1992, pp. 85--94.

J. Glimm and W. B. Lindquist, Scaling laws for macrodispersion, in Computational Methods in Water Resources IX, vol. 2: Mathematical Modeling in Water Resources, T. F. Russell, R. E. Ewing, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds., Computational Mechanics Publications, Southampton, 1992, pp. 35--49.

------------------------------------, A theory of fluid mixing, in Nonliner Hyperbolic Problems, A. Donato and F. Oliveri, eds., vol. 43 of Lecture Notes on Numerical Fluid Dynamics, Vieweg, Weisbaden, 1993, pp. 291--297.

J. Glimm, W. B. Lindquist, O. McBryan, and L. Padmanabhan, A front tracking reservoir simulator, five-spot validation studies and the water coning problem, in Frontiers in Applied Mathematics, vol. 1, SIAM, Philadelphia, PA, 1983, pp. 107--136.

J. Glimm, W. B. Lindquist, O. McBryan, B. Plohr, and S. Yaniv, Front tracking for petroleum reservoir simulation, in Proceedings of the Reservoir Simulation Symposium, Society of Petroleum Engineers, San Francisco, CA, 1983, pp. 41--49.

J. Glimm, W. B. Lindquist, O. McBryan, and G. Tryggvason, Sharp and diffuse fronts in oil reservoirs: Front tracking and capillarity, in Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling, W. Fitzgibbon, ed., 1985, pp. 68--84.

J. Glimm, W. B. Lindquist, F. Pereira, and R. Peierls, The multi-fractal hypothesis and anomalous diffusion, Mat. Aplic. Comput., 11 (1992), pp. 189--207.

J. Glimm, W. B. Lindquist, F. Pereira, and Q. Zhang, A theory of macrodispersion for the scale up problem, Transport in Porous Media, 13 (1993), pp. 97--122.

J. Glimm, W. B. Lindquist, and Q. Zhang, Front Tracking, Oil Reservoirs, Engineering Problems and Mass Conservation, vol. 29 of IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York--Heidelberg--Berlin, 1991.

J. Glimm and D. Marchesin, Subgrid resolution of fluid discontinuities, in Proceedings of the 1979 Army Numerical Analysis and Computers Conference, Rep. No. 79-3, Army Research Office, 1979, pp. 353--360.

J. Glimm, D. Marchesin, and O. McBryan, The buckley-leverett equation: Theory, computation and application, in Third Symposium on Trends in Applications of Pure Mathematics to Mechanics, R. Knops, ed., Pitman, Edinburgh, 1979, pp. 104--110.

------------------------------------, Stable and unstable fluid interface surfaces in petroleum engineering, Tech. Rep. preprint, Rockefeller Univ., 1980.

------------------------------------, Subgrid resolution of fluid discontinuities II, J. Comput. Phys., 37 (1980), pp. 336--354.

------------------------------------, A numerical method for two phase flow with an unstable interface, J. Comput. Phys., 39 (1981), pp. 179--200.

------------------------------------, Unstable fingers in two phase flow, Comm. Pure Appl. Math., 34 (1981), pp. 53--75.

J. Glimm, D. Marchesin, and O. McCryan, Statistical fluid dynamics: Unstable fingers, Comm. Math. Phys., 74 (1980), pp. 1--13.

J. Glimm, G. Marshall, and B. Plohr, A generalized random choice method for gas dynamics, in Proceedings of the 1982 Army Numerical Analysis and Computers Conference, Rep. No. 82-3, Army Research Office, 1982, pp. 137--150.

------------------------------------, A generalized Riemann problem for quasi-one-dimensional gas flows, Adv. Appl. Math., 5 (1984), pp. 1--30.

J. Glimm and O. McBryan, A computational model for interfaces, Adv. Appl. Math., 6 (1985), pp. 422--435.

J. Glimm, O. McBryan, R. Menikoff, and D. Sharp, Front tracking applied to Rayleigh-Taylor instability, SIAM J. Comput., 7 (1986), pp. 230--251.

J. Glimm, O. McBryan, R. Menikoff, and D. H. Sharp, Stable and runaway bubble merger in a model for Rayleigh-Taylor unstable interfaces, Phys. Letters A, 123 (1987), pp. 289--292.

J. Glimm, O. McBryan, B. Plohr, and S. Yaniv, The coupling of tracked and interior waves in a front tracking scheme, in Transactions of the First Army Conference on Applied Mathematics and Computing, Rep. No. 84-1, Army Research Office, 1984, pp. 245--253.

J. Glimm, B. Plohr, and D. Sharp, A conservative formulation for large-deformation plasticity, Appl. Mech. Rev., 46 (1993), pp. 519--526.

------------------------------------, Tracking of shear bands I. The one-dimensional case, Mech. Materials, 24 (1996), pp. 31--41.

J. Glimm, D. Saltz, and D. H. Sharp, Renormalization group solution of two-phase flow equations for Rayleigh-Taylor mixing, Phys. Lett. A, 222 (1996), pp. 171--176.

------------------------------------, A general closure relation for incompressible mixing layers induced by interface instabilites, in Proceedings of the Sixth International Workshop on the Physics of Compressible Turbulent Mixing, G. Jourdan and L. Houas, eds., Imprimerie Caract\`ere, Marseille, France, 1997, pp. 179--184.

------------------------------------, The statistical evolution of chaotic fluid mixing, Phys. Rev. Lett., 80 (1998), pp. 712--715.

------------------------------------, Two-pressure two-phase flow, in Nonlinear Partial Differential Equations, G.-Q. Chen, Y. Li, and X. Zhu, eds., World Scientific, Singapore, 1998.

------------------------------------, Two-phase modeling of a fluid mixing layer, J. Fluid Mech., 378 (1999), pp. 119--143.

J. Glimm and D. Sharp, Elementary waves for hyperbolic equations in higher space dimensions: An example from petroleum reservoir modeling, rep. no. doe/er/03077-248, DOE Research and Development, 1985.

------------------------------------, Elementary waves for hyperbolic equations in higher space dimensions: An example from petroleum reservoir modeling, rep. no. doe/er/03077-248, Courant Institute, New York Univ., 1985.

------------------------------------, Numerical analysis and the scientific method, IBM J. Res. Dev., 31 (1985), pp. 169--177.

------------------------------------, An S-matrix theory for classical nonlinear physics, Found. Phys., 16 (1986), pp. 125--141.

------------------------------------, Elementary waves for hyperbolic equations in higher dimensions: An example from petroleum reservoir modeling, Contemporary Mathematics, 60 (1987), pp. 35--41.

J. Glimm and D. H. Sharp, Chaotic mixing as a renormalization group fixed point, Phys. Rev. Lett., 64 (1990), pp. 2137--2139.

------------------------------------, A random field model for anomalous diffusion in heterogeneous porous media, J. Stat. Phys., 62 (1991), pp. 415--424.

------------------------------------, Multiscale science, SIAM News, (1997).

------------------------------------, Stochastic partial differential equations: Selected applications in continuum physics, in Stochastic Partial Differential Equations: Six Perspectives, R. A. Carmona and B. L. Rozovskii, eds., Mathematical Surveys and Monographs, American Mathematical Society, Providence, 1997.

------------------------------------, Stochastic methods for the prediction of complex multiscale phenomena, Quarterly J. Applied Mathematics, 56 (1998), pp. 741--765.

------------------------------------, Prediction and the quantification of uncertainty, Physica D, (1999).
Report No. SUNYSB-98-16 State University of New York at Stony Brook.

J. Glimm, D. H. Sharp, and Q. Zhang, The renormalization group dynamics of chaotic mixing of unstable interfaces, Phys. Fluids A, 3 (1991), pp. 1333--1335.

J. Glimm, S. R. Simanca, T. Smith, and F. M. Tangerman, Computational physics meets computational geometry, Report No. SUNYSB-96-19, State University of New York at Stony Brook, 1996.

J. Glimm, S. R. Simanca, D. Tan, F. M. Tangerman, and G. VanDerWoude, Front tracking simulations of ion deposition and resputtering, SIAM J. Sci. Comp., (1999).
Report No. SUNYSB-97-04 State University of New York at Stony Brook; Accepted for Publication.

J. Glimm and X.-Li, On the validation of the Sharp-Wheeler bubble merger model from experimental and computational data, Phys. Fluids, 31 (1988), pp. 2077--2085.

J. Glimm and Q. Zhang, A quantitative theory of fluid chaos, in Viscous Profiles and Numerical Methods for Shock Waves, M. Shearer, ed., SIAM, Philadelphia, 1991, pp. 49--65.

J. G. Glimm, R. H. Kupperman, P. C. Roberts, and D. H. Sharp, Stop trifling with AIDS, in Los Angeles Times, 1987.

J. W. Grove, B. Boston, and R. Holmes, A numerical study of shock interactions and shock induced mixing, in Proceedings of the Fifth International Conference on Hyperbolic Problems Theory, Numerics, and Applications, J. Glimm, M. J. Graham, J. W. Grove, and B. J. Plohr, eds., World Scientifc Publishers, London, 1996.

J. W. Grove, Y. Yang, Q. Zhang, D. H. Sharp, J. Glimm, B. Boston, and R. Holmes, The application of front tracking to the simulation of shock refractions and shock accelerated interface mixing, in Proceedings of the 4th International Workshop on the Physics of Compressible Turbulent Mixing, Cambridge Univ., Cambridge, 1993.

J. M. G. Jordan and J. Glimm, A mixed finite element for Hele Shaw cell equations, Comp. Geosciences, 1 (1997), pp. 35--58.

X.-L. Li and J. Glimm, A numerical study of Richtmyer-Meshkov instability in three dimensions, in Proceedings of the Second Asia CFD Conference, Tokyo, H. Kubota and S. Aso, eds., vol. 1, Japan Society of Computational Fluid Dynamics, 1996, pp. 87--92.

X.-L. Li, B. X. Jin, and J. Glimm, Numerical study for the three dimensional Rayleigh-Taylor instability using the TVD/AC scheme and parallel computation, J. Comp. Phys., 126 (1996), pp. 343--355.

X. Lin, J. Glimm, J. Grove, H.-C. Hwang, D. Sharp, and J. Walter, A numerical study of a fully conservative method for hyper-viscoplastic materials, Tech. Rep. SUSB-AMS-97-12, State University of New York at Stony Brook, 1997.

T.-P. Liu, The deterministic version of the glimm scheme, Comm. Math. Phys., 57 (1977), pp. 135--148.

B. Plohr, J. Glimm, and O. McBryan, Applications of front tracking to two-dimensional gas dynamics calculations, in Computational Aspects of Penetration Mechanics, J. Chandra and J. Flaherty, eds., vol. 3 of Lect. Notes in Engrg., Springer-Verlag, New York--Heidelberg--Berlin, 1983, pp. 180--191.

Y. Song, W. Chui, J. Glimm, B. Lindquist, and F. Tangerman, Applications of front tracking to the simulation of resin transfer modeling, Computers \& Mathematics with Applications, 33 (1997), pp. 47--60.

F. Wang, J. Glimm, J. Grove, B. Plohr, and D. Sharp, A conservative Eulerian numerical scheme for elasto-plasticity and application to plate impact problems, Impact Comput. Sci. Engrg., 5 (1993), pp. 285--308.

F. Wang, J. Glimm, and B. Plohr, A model for rate-dependent plasticity, J. Mech. Phys. Solids, 43 (1995), pp. 1497--1503.

R. Young, J. Glimm, and B. Boston, eds., Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing, World Scientific, Singapore, 1996.
ISBN 981-02-2910-0.

Q. Zhang and J. Glimm, Inertial range scaling of laminar shear flow as a model of turbulent transport, Comm. Math. Phys., 146 (1992), pp. 217--229.

Q. Zhang and S. Sohn, Quantitative theories for the nonlinear growth rates in Richtmyer-Meshkov instability, in Proceedings of the Fifth International Workshop on Compressible Turbulent Mixing, R. Young, J. Glimm, and B. Boston, eds., World Scientific, Singapore, 1996, pp. 98--107.
ISBN 981-02-2910-0.

W. Zhu, S. Finch, H. Ahn, J. Glimm, R. Mugno, and L. Zheng, On the application of statistical methodology to pattern recognition in a half terabyte data set, in American Statistical Association 1998 Proceedings of the Sections on Government Statistics and Social Statistics, American Statistical Association, Alexandria, VA, 1998.