Computation and Numerical Analysis for Multiscale and Multiphysics Modelling EPSRC MATHEMATICS RESEARCH NETWORK

			Research Themes : Bibliography
	Home Upcoming Events Past Events Network Program Research Themes   Theme I   Theme II   Theme III   Bibliography Network Members Preprints Related Links		1 BHATE, D.N., KUMAR, A. & BOWER,A. Diffuse interface models for electromigration and stress voiding. J. Appl. Phys. 87, (2000) 1712-1721. 2 FIDLER, J. & AND SCHREFL,T. Micromagnetic modelling - the current state of the art. J. Phys. D 33 (2000) 135-156. 3 GIACOMIN, G., LEBOWITZ, J. & PRESUTTI, E. Deterministic and stochastic hydrodynamic equations arising from simple microscopic model systems, in Stochatic Partial Differential Equations: Six Perspectives. (Ed. Carmona, R. & Rozovskii, B.); Math. Surveys Monogr. 64, Amer. Math. Soc. Providence, R.I. (1999). 4 LOWENGRUB, B. & TRUSKINOVSKY, L. Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Proc. Roy. Soc. Lond. A 454, (1998) 2617-2654. 5 DEGOND, D., LEMOU, M. & PICASSO,M. Viscoelastic fluid models derived from kinetic equations for polymers. SIAM J. Appl. Math. 62, (2002) 1501-1519. 6 JOURDAIN, B., LELI`EVRE, T. & LE BRIS, C. Numerical analysis of micro-macro simulations of polymeric fluid flows: a simple case. MAS 12, (2002) 1205-1243. 7 LIONS, P.L. & MASMOUDI, M. Global solutions for some Oldroyd models of non-Newtonian flows. Chin. Ann. of Math. B  21, (2000) 131-146. 8 ÖTTINGER Stochastic Processes in Polymeric Fluids. Springer, Berlin, 1996. 9 RENARDY, M. An existence theorem for model equations resulting from kinetic theories of polymer solutions. SIAM J. Math. Anal.  22, (1991) 313-327. 10 M. A. KATSOULAKIS, A. J. MAJDA, AND D. G. VLACHOS. Coarse-grained stochastic processes for lattice systems. Proc. Natl. Acad. Sci. USA, 100 (2003), 782-787. 11 M. A. NOVOTNY, G. BROWN, AND P.A. RIKVOLD. Large-scale computer investigation of finite temperature nucleation and growth phenomena in magnetization reversal and hysteresis. J. Appl. Phys., 91 (2002), 6908-6913. 12 D. D. VVEDENSKY. Epitaxial phenomena accross length and time scales Surface and Interface Anal., 31 (2001), 6908-6913. 13 E.B.TADMOR, M.ORTIZ, R.PHILLIPS. Quasicontinuum analysis of defects in solids, Phil. Mag. A 73, (1996), 1529-1653 14 R.E. RUDD, J.Q. BROUGHTON. Coarse-grained molecular dynamics and the atomic limit of finite elements., Phys. Rev. B 58, (1998), 5893-5896		Managing Network Nodes   Mathematics Institute , University of Warwick Deparment of Mathematics , Imperial College Computing Laboratory , Oxford University Department of Mathematics, University of Sussex   Participating Departments   Department of Chemistry , University of Warwick Center for Scientific Computing, University of Warwick Department of Physics , University of Leeds Condensed Matter Theory Group , Imperial College Department of Engineering , Oxford University
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