Citations to the book: A.N. Gorban, I.V. Karlin, Invariant Manifolds for Physical and Chemical Kinetics, Lect. Notes Phys. 660, Springer, Berlin, Heidelberg, 2005.  [Review in Bull. London Math. Soc. 38 (2006) (pdf)] [Review in Zentralblatt Math.

 (2006) (pdf)]

 

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Record 1 of 90

Title: Fluctuations in extended mass-action-law dynamics 

Author(s): Grmela, M (Grmela, Miroslav)

Source: PHYSICA D-NONLINEAR PHENOMENA  Volume: 241  Issue: 10  Pages: 976-986  DOI: 10.1016/j.physd.2012.02.008  Published: MAY 15 2012  

ISSN: 0167-2789 

 

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Record 2 of 90

Title: Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized Relaxation Redistribution Method 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro)

Source: JOURNAL OF COMPUTATIONAL PHYSICS  Volume: 231  Issue: 4  Pages: 1751-1765  DOI: 10.1016/j.jcp.2011.11.007  Published: FEB 20 2012  

ISSN: 0021-9991 

 

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Record 3 of 90

Title: Automated refinement and inference of analytical models for metabolic networks 

Author(s): Schmidt, MD (Schmidt, Michael D.); Vallabhajosyula, RR (Vallabhajosyula, Ravishankar R.); Jenkins, JW (Jenkins, Jerry W.); Hood, JE (Hood, Jonathan E.); Soni, AS (Soni, Abhishek S.); Wikswo, JP (Wikswo, John P.); Lipson, H (Lipson, Hod)

Source: PHYSICAL BIOLOGY  Volume: 8  Issue: 5  Special Issue: SI  Article Number: 055011  DOI: 10.1088/1478-3975/8/5/055011  Published: OCT 2011  

Conference Title: 4th Annual q-bio Conference on Cellular Information Processing 

Conference Date: AUG 11-14, 2010 

Conference Location: Santa Fe, NM 

Conference Host: St Johns Coll

ISSN: 1478-3975 

 

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Record 4 of 90

Title: Ideal contribution to the macroscopic quasiequilibrium entropy of anisotropic fluids 

Author(s): Ilg, P (Ilg, Patrick); Hutter, M (Huetter, Markus); Kroger, M (Kroeger, Martin)

Source: PHYSICAL REVIEW E  Volume: 83  Issue: 6  Article Number: 061713  DOI: 10.1103/PhysRevE.83.061713  Part: Part 1  Published: JUN 29 2011  

ISSN: 1539-3755 

 

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Record 5 of 90

Title: Fast computation of multi-scale combustion systems 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Asinari, P (Asinari, Pietro); Visconti, F (Visconti, Filippo)

Source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES  Volume: 369  Issue: 1945  Pages: 2396-2404  DOI: 10.1098/rsta.2011.0026  Published: JUN 28 2011  

ISSN: 1364-503X 

 

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Record 6 of 90

Title: On the asymptotic behaviour of the solutions to the replicator equation 

Author(s): Karev, GP (Karev, Georgy P.); Novozhilov, AS (Novozhilov, Artem S.); Berezovskaya, FS (Berezovskaya, Faina S.)

Source: MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA  Volume: 28  Issue: 2  Special Issue: SI  Pages: 89-110  DOI: 10.1093/imammb/dqq006  Published: JUN 2011  

ISSN: 1477-8599 

 

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Record 7 of 90

Title: LIE GROUP ANALYSIS FOR MULTI-SCALE PLASMA DYNAMICS 

Author(s): Kovalev, VF (Kovalev, Vladimir F.)

Source: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS  Volume: 18  Pages: 163-175  DOI: 10.1142/S1402925111001349  Supplement: 1  Published: MAY 2011  

Conference Title: 14th International Conference on Modern Group Analysis (MOGRAN-14) 

Conference Date: MAY 25-JUN 02, 2010 

Conference Location: Vidsel, SWEDEN 

ISSN: 1402-9251 

 

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Record 8 of 90

Title: The Michaelis-Menten-Stueckelberg Theorem 

Author(s): Gorban, AN (Gorban, Alexander N.); Shahzad, M (Shahzad, Muhammad)

Source: ENTROPY  Volume: 13  Issue: 5  Pages: 966-1019  DOI: 10.3390/e13050966  Published: MAY 2011  

ISSN: 1099-4300 

 

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Record 9 of 90

Title: Adaptive simplification of complex multiscale systems 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Karlin, I (Karlin, Ilya)

Source: PHYSICAL REVIEW E  Volume: 83  Issue: 3  Article Number: 036706  DOI: 10.1103/PhysRevE.83.036706  Part: Part 2  Published: MAR 28 2011  

ISSN: 1539-3755 

 

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Record 10 of 90

Title: Asymptotics of Conduction Velocity Restitution in Models of Electrical Excitation in the Heart 

Author(s): Simitev, RD (Simitev, R. D.); Biktashev, VN (Biktashev, V. N.)

Source: BULLETIN OF MATHEMATICAL BIOLOGY  Volume: 73  Issue: 1  Pages: 72-115  DOI: 10.1007/s11538-010-9523-6  Published: JAN 2011  

ISSN: 0092-8240 

 

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Record 11 of 90

Title: Reciprocal relations between kinetic curves 

Author(s): Yablonsky, GS (Yablonsky, G. S.); Gorban, AN (Gorban, A. N.); Constales, D (Constales, D.); Galvita, VV (Galvita, V. V.); Marin, GB (Marin, G. B.)

Source: EPL  Volume: 93  Issue: 2  Article Number: 20004  DOI: 10.1209/0295-5075/93/20004  Published: JAN 2011  

ISSN: 0295-5075 

 

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Record 12 of 90

Title: Efficient simulations of detailed combustion fields via the lattice Boltzmann method 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Karlin, IV (Karlin, Ilya V.); Gorban, AN (Gorban, Alexander N.); Boulouchos, K (Boulouchos, Konstantinos)

Source: INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW  Volume: 21  Issue: 5  Pages: 494-517  DOI: 10.1108/09615531111135792  Published: 2011  

Conference Title: 1st International Conference on Computational Methods for Thermal Problems (ThermaComp 2009) 

Conference Date: SEP 08-11, 2009 

Conference Location: Naples, ITALY 

ISSN: 0961-5539 

 

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Record 13 of 90

Title: Molecularly derived constitutive equation for low-molecular polymer melts from thermodynamically guided simulation 

Author(s): Ilg, P (Ilg, Patrick); Kroger, M (Kroeger, Martin)

Source: JOURNAL OF RHEOLOGY  Volume: 55  Issue: 1  Pages: 69-93  DOI: 10.1122/1.3523485  Published: JAN 2011  

ISSN: 0148-6055 

 

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Record 14 of 90

Title: Quasichemical Models of Multicomponent Nonlinear Diffusion 

Author(s): Gorban, AN (Gorban, A. N.); Sargsyan, HP (Sargsyan, H. P.); Wahab, HA (Wahab, H. A.)

Source: MATHEMATICAL MODELLING OF NATURAL PHENOMENA  Volume: 6  Issue: 5  Pages: 184-262  DOI: 10.1051/mmnp/20116509  Published: 2011  

ISSN: 0973-5348 

 

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Record 15 of 90

Title: A VARIATIONAL PRINCIPLE FOR COMPUTING SLOW INVARIANT MANIFOLDS IN DISSIPATIVE DYNAMICAL SYSTEMS 

Author(s): Lebiedz, D (Lebiedz, Dirk); Siehr, J (Siehr, Jochen); Unger, J (Unger, Jonas)

Source: SIAM JOURNAL ON SCIENTIFIC COMPUTING  Volume: 33  Issue: 2  Pages: 703-720  DOI: 10.1137/100790318  Published: 2011  

ISSN: 1064-8275 

 

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Record 16 of 90

Title: Thermodynamics of Fluids Under Flow, Second Edition 

Author(s): Jou, D (Jou, David); Casas-Vazquez, J (Casas-Vazquez, Jose); Criado-Sancho, M (Criado-Sancho, Manuel)

Source: THERMODYNAMICS OF FLUIDS UNDER FLOW, SECOND EDITION  Pages: 1-296  DOI: 10.1007/978-94-007-0199-1  Published: 2011  

ISBN: 978-94-007-0198-4 

 

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Record 17 of 90

Title: Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory 

Author(s): Calzetta, E (Calzetta, E.); Peralta-Ramos, J (Peralta-Ramos, J.)

Source: PHYSICAL REVIEW D  Volume: 82  Issue: 10  Article Number: 106003  DOI: 10.1103/PhysRevD.82.106003  Published: NOV 10 2010  

ISSN: 1550-7998 

 

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Record 18 of 90

Title: A model-reduction method for nonlinear discrete-time skew-product dynamical systems in the presence of model uncertainty 

Author(s): Kazantzis, N (Kazantzis, Nikolaos)

Source: NONLINEAR DYNAMICS  Volume: 62  Issue: 3  Pages: 521-534  DOI: 10.1007/s11071-010-9738-y  Published: NOV 2010  

ISSN: 0924-090X 

 

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Record 19 of 90

Title: Coupling of the model reduction technique with the lattice Boltzmann method for combustion simulations 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Karlin, IV (Karlin, Iliya V.); Gorban, AN (Gorban, Alexander N.); Boulouchos, K (Boulouchos, Konstantinos)

Source: COMBUSTION AND FLAME  Volume: 157  Issue: 10  Pages: 1833-1849  DOI: 10.1016/j.combustflame.2010.06.009  Published: OCT 2010  

ISSN: 0010-2180 

 

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Record 20 of 90

Title: The Role of Thermodynamics in Model Reduction when Using Invariant Grids 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Karlin, IV (Karlin, Iliya V.); Gorban, AN (Gorban, Alexander N.)

Source: COMMUNICATIONS IN COMPUTATIONAL PHYSICS  Volume: 8  Issue: 4  Pages: 701-734  DOI: 10.4208/cicp.030709.210110a  Published: OCT 2010  

ISSN: 1815-2406 

 

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Record 21 of 90

Title: Minimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kinetics 

Author(s): Lebiedz, D (Lebiedz, Dirk); Reinhardt, V (Reinhardt, Volkmar); Siehr, J (Siehr, Jochen)

Source: JOURNAL OF COMPUTATIONAL PHYSICS  Volume: 229  Issue: 18  Pages: 6512-6533  DOI: 10.1016/j.jcp.2010.05.008  Published: SEP 1 2010  

ISSN: 0021-9991 

 

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Record 22 of 90

Title: On aspects of the dynamic behavior of persistent chemicals in a multimedia environment related to exposure-based hazard assessment 

Author(s): Kazantzis, N (Kazantzis, Nikolaos); Kazantzi, V (Kazantzi, Vasiliki); Christodoulou, EG (Christodoulou, Emmanuel G.)

Source: JOURNAL OF MATHEMATICAL CHEMISTRY  Volume: 48  Issue: 2  Pages: 290-304  DOI: 10.1007/s10910-010-9669-3  Published: AUG 2010  

ISSN: 0259-9791 

 

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Record 23 of 90

Title: PRINCIPAL MANIFOLDS AND GRAPHS IN PRACTICE: FROM MOLECULAR BIOLOGY TO DYNAMICAL SYSTEMS 

Author(s): Gorban, AN (Gorban, Alexander N.); Zinovyev, A (Zinovyev, Andrei)

Source: INTERNATIONAL JOURNAL OF NEURAL SYSTEMS  Volume: 20  Issue: 3  Pages: 219-232  DOI: 10.1142/S0129065710002383  Published: JUN 2010  

Conference Title: Interdisciplinary International Research Workshop on Coping with Complexity - Model Reduction and Data Analysis 

Conference Date: AUG 31-SEP 04, 2009 

Conference Location: Cumbria, ENGLAND 

ISSN: 0129-0657 

 

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Record 24 of 90

Title: Factorization symmetry in the lattice Boltzmann method 

Author(s): Karlin, I (Karlin, Ilya); Asinari, P (Asinari, Pietro)

Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS  Volume: 389  Issue: 8  Pages: 1530-1548  DOI: 10.1016/j.physa.2009.12.032  Published: APR 15 2010  

ISSN: 0378-4371 

 

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Record 25 of 90

Title: Asymptotology of chemical reaction networks 

Author(s): Gorban, AN (Gorban, A. N.); Radulescu, O (Radulescu, O.); Zinovyev, AY (Zinovyev, A. Y.)

Source: CHEMICAL ENGINEERING SCIENCE  Volume: 65  Issue: 7  Special Issue: SI  Pages: 2310-2324  DOI: 10.1016/j.ces.2009.09.005  Published: APR 1 2010  

Conference Title: International Workshop on Mathematics in Chemical Kinetics and Engineering 

Conference Date: FEB, 2009 

Conference Location: Ghent, BELGIUM 

ISSN: 0009-2509 

 

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Record 26 of 90

Title: Entropy-Related Extremum Principles for Model Reduction of Dissipative Dynamical Systems 

Author(s): Lebiedz, D (Lebiedz, Dirk)

Source: ENTROPY  Volume: 12  Issue: 4  Pages: 706-719  DOI: 10.3390/e12040706  Published: APR 2010  

ISSN: 1099-4300 

 

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Record 27 of 90

Title: CHARACTERIZATION OF THE DYNAMIC BEHAVIOR OF NONLINEAR BIOSYSTEMS IN THE PRESENCE OF MODEL UNCERTAINTY USING SINGULAR INVARIANCE PDES: APPLICATION TO IMMOBILIZED ENZYME AND CELL BIOREACTORS 

Author(s): Kazantzis, N (Kazantzis, Nikolaos); Kazantzi, V (Kazantzi, Vasiliki)

Source: MATHEMATICAL BIOSCIENCES AND ENGINEERING  Volume: 7  Issue: 2  Pages: 401-419  DOI: 10.3934/mbe.2010.7.401  Published: APR 2010  

ISSN: 1547-1063 

 

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Record 28 of 90

Title: Thermodynamically Admissible 13 Moment Equations from the Boltzmann Equation 

Author(s): Ottinger, HC (Oettinger, Hans Christian)

Source: PHYSICAL REVIEW LETTERS  Volume: 104  Issue: 12  Article Number: 120601  DOI: 10.1103/PhysRevLett.104.120601  Published: MAR 26 2010  

ISSN: 0031-9007 

 

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Record 29 of 90

Title: Slow manifolds for dissipative dynamical systems 

Author(s): Ramm, AG (Ramm, A. G.)

Source: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS  Volume: 363  Issue: 2  Pages: 729-732  DOI: 10.1016/j.jmaa.2009.09.049  Published: MAR 15 2010  

ISSN: 0022-247X 

 

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Record 30 of 90

Title: Dynamical modeling of microRNA action on the protein translation process 

Author(s): Zinovyev, A (Zinovyev, Andrei); Morozova, N (Morozova, Nadya); Nonne, N (Nonne, Nora); Barillot, E (Barillot, Emmanuel); Harel-Bellan, A (Harel-Bellan, Annick); Gorban, AN (Gorban, Alexander N.)

Source: BMC SYSTEMS BIOLOGY  Volume: 4  Article Number: 13  DOI: 10.1186/1752-0509-4-13  Published: FEB 24 2010  

ISSN: 1752-0509 

 

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Record 31 of 90

Title: A Nonhomogeneous Kinetic Model of Liquid Crystal Polymers and Its Thermodynamic Closure Approximation 

Author(s): Yu, HJ (Yu, Haijun); Ji, GH (Ji, Guanghua); Zhang, PW (Zhang, Pingwen)

Source: COMMUNICATIONS IN COMPUTATIONAL PHYSICS  Volume: 7  Issue: 2  Special Issue: SI  Pages: 383-402  DOI: 10.4208/cicp.2009.09.202  Published: FEB 2010  

Conference Title: Workshop on Structure Formation and Evolution in Soft Matter/Complex Fluid Systems 

Conference Date: DEC 03-07, 2007 

Conference Location: Beijing, PEOPLES R CHINA 

Conference Host: Beijing Int Ctr Math Res

ISSN: 1815-2406 

 

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Record 32 of 90

Title: Extended Irreversible Thermodynamics, Fourth Edition  

Author(s): Jou, D (Jou, D); CasasVazquez, J (CasasVazquez, J); Lebon, G (Lebon, G)

Source: EXTENDED IRREVERSIBLE THERMODYNAMICS, FOURTH EDITION  Pages: 1-483  DOI: 10.1007/978-90-481-3074-0  Published: 2010  

ISBN: 978-90-481-3073-3 

 

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Record 33 of 90

Title: Problems with Insufficient Information about Initial-boundary Data 

Author(s): Radkevich, EV (Radkevich, E. V.)

Editor(s): Fursikov AV; Galdi GP; Pukhnachev VV

Source: NEW DIRECTIONS IN MATHEMATICAL FLUID MECHANICS: THE ALEXANDER V. KAZHIKHOV MEMORIAL VOLUME  Book Series: Advances in Mathematical Fluid Mechanics Series  Pages: 349-378  Published: 2010  

ISBN: 978-3-0346-0151-1 

Book DOI: 10.1007/978-3-0346-0152-8 

 

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Record 34 of 90

Title: A new model reduction method for nonlinear dynamical systems 

Author(s): Kazantzis, N (Kazantzis, Nikolaos); Kravaris, C (Kravaris, Costas); Syrou, L (Syrou, Lemonia)

Source: NONLINEAR DYNAMICS  Volume: 59  Issue: 1-2  Pages: 183-194  DOI: 10.1007/s11071-009-9531-y  Published: JAN 2010  

ISSN: 0924-090X 

 

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Record 35 of 90

Title: Quasiequilibrium lattice Boltzmann models with tunable bulk viscosity for enhancing stability 

Author(s): Asinari, P (Asinari, Pietro); Karlin, IV (Karlin, Ilya V.)

Source: PHYSICAL REVIEW E  Volume: 81  Issue: 1  Article Number: 016702  DOI: 10.1103/PhysRevE.81.016702  Part: Part 2  Published: JAN 2010  

ISSN: 1539-3755 

 

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Record 36 of 90

Title: Risk-relevant indices for the characterization of persistence of chemicals in a multimedia environment 

Author(s): Kazantzis, N (Kazantzis, Nikolaos)

Source: JOURNAL OF LOSS PREVENTION IN THE PROCESS INDUSTRIES  Volume: 22  Issue: 6  Special Issue: SI  Pages: 830-838  DOI: 10.1016/j.jlp.2009.08.004  Published: NOV 2009  

Conference Title: Annual Symposium of the Mary-Kay-OConnor-Process-Safety-Center 

Conference Date: OCT 28-29, 2008 

Conference Location: College Stn, TX 

ISSN: 0950-4230 

 

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Record 37 of 90

Title: On the stupendous beauty of closure 

Author(s): Ottinger, HC (Oettinger, Hans Christian)

Source: JOURNAL OF RHEOLOGY  Volume: 53  Issue: 6  Pages: 1285-1304  DOI: 10.1122/1.3238480  Published: NOV-DEC 2009  

ISSN: 0148-6055 

 

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Record 38 of 90

Title: Boltzmann equation and hydrodynamic fluctuations 

Author(s): Colangeli, M (Colangeli, Matteo); Kroger, M (Kroeger, Martin); Ottinger, HC (Oettinger, Hans Christian)

Source: PHYSICAL REVIEW E  Volume: 80  Issue: 5  Article Number: 051202  DOI: 10.1103/PhysRevE.80.051202  Published: NOV 2009  

ISSN: 1539-3755 

 

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Record 39 of 90

Title: Simplified yet highly accurate enzyme kinetics for cases of low substrate concentrations 

Author(s): Hardin, HM (Hardin, Hanna M.); Zagaris, A (Zagaris, Antonios); Krab, K (Krab, Klaas); Westerhoff, HV (Westerhoff, Hans V.)

Source: FEBS JOURNAL  Volume: 276  Issue: 19  Pages: 5491-5506  DOI: 10.1111/j.1742-4658.2009.07233.x  Published: OCT 2009  

ISSN: 1742-464X 

 

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Record 40 of 90

Title: Linear transport equations valid for arbitrary collisionality: Comparison with the Chapman-Enskog expansion 

Author(s): Bendib, A (Bendib, A.); Bendib-Kalache, K (Bendib-Kalache, K.); Gombert, MM (Gombert, M. -M.)

Source: PHYSICAL REVIEW E  Volume: 80  Issue: 4  Article Number: 041201  DOI: 10.1103/PhysRevE.80.041201  Published: OCT 2009  

ISSN: 1539-3755 

 

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Record 41 of 90

Title: Hybrid stochastic simplifications for multiscale gene networks 

Author(s): Crudu, A (Crudu, Alina); Debussche, A (Debussche, Arnaud); Radulescu, O (Radulescu, Ovidiu)

Source: BMC SYSTEMS BIOLOGY  Volume: 3  Article Number: 89  DOI: 10.1186/1752-0509-3-89  Published: SEP 7 2009  

ISSN: 1752-0509 

 

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Record 42 of 90

Title: What is behind the plastic strain rate? 

Author(s): Hutter, M (Huetter, Markus); Grmela, M (Grmela, Miroslav); Ottinger, HC (Oettinger, Hans Christian)

Source: RHEOLOGICA ACTA  Volume: 48  Issue: 7  Pages: 769-778  DOI: 10.1007/s00397-009-0371-y  Published: AUG 2009  

ISSN: 0035-4511 

 

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Record 43 of 90

Title: Secular variation of the Earth's magnetic field: induced by the ocean flow? 

Author(s): Ryskin, G (Ryskin, Gregory)

Source: NEW JOURNAL OF PHYSICS  Volume: 11  Article Number: 063015  DOI: 10.1088/1367-2630/11/6/063015  Published: JUN 12 2009  

ISSN: 1367-2630 

 

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Record 44 of 90

Title: Combustion simulation via lattice Boltzmann and reduced chemical kinetics 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Karlin, IV (Karlin, Iliya V.); Gorban, AN (Gorban, Alexander N.); Boulouchos, K (Boulouchos, Konstantinos)

Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT  Article Number: P06013  DOI: 10.1088/1742-5468/2009/06/P06013  Published: JUN 2009  

ISSN: 1742-5468 

 

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Record 45 of 90

Title: Invariant manifolds for dissipative systems 

Author(s): Ramm, AG (Ramm, A. G.)

Source: JOURNAL OF MATHEMATICAL PHYSICS  Volume: 50  Issue: 4  Article Number: 042701  DOI: 10.1063/1.3105924  Published: APR 2009  

ISSN: 0022-2488 

 

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Record 46 of 90

Title: Generalized Maxwell state and H theorem for computing fluid flows using the lattice Boltzmann method 

Author(s): Asinari, P (Asinari, Pietro); Karlin, IV (Karlin, Ilya V.)

Source: PHYSICAL REVIEW E  Volume: 79  Issue: 3  Article Number: 036703  DOI: 10.1103/PhysRevE.79.036703  Part: Part 2  Published: MAR 2009  

ISSN: 1539-3755 

 

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Record 47 of 90

Title: Equation-Free Multiscale Computation: Algorithms and Applications 

Author(s): Kevrekidis, IG (Kevrekidis, Ioannis G.); Samaey, G (Samaey, Giovanni)

Source: ANNUAL REVIEW OF PHYSICAL CHEMISTRY  Book Series: Annual Review of Physical Chemistry  Volume: 60  Pages: 321-344  DOI: 10.1146/annurev.physchem.59.032607.093610  Published: 2009  

ISSN: 0066-426X 

ISBN: 978-0-8243-1060-8 

 

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Record 48 of 90

Title: Ferrofluid Structure and Rheology 

Author(s): Ilg, P (Ilg, P.); Odenbach, S (Odenbach, S.)

Editor(s): Odenbach S

Source: COLLOIDAL MAGNETIC FLUIDS: BASICS, DEVELOPMENT AND APPLICATION OF FERROFLUIDS  Book Series: Lecture Notes in Physics  Volume: 763  Pages: 249-325  DOI: 10.1007/978-3-540-85387-9_4  Published: 2009  

ISSN: 0075-8450 

ISBN: 978-3-540-85386-2 

Book DOI: 10.1007/978-3-540-85387-9 

 

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Record 49 of 90

Title: Method of invariant grid for model reduction of hydrogen combustion 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Karlin, IV (Karlin, Iliya V.); Frouzakis, CE (Frouzakis, Christos E.); Boulouchos, K (Boulouchos, Konstantinos)

Source: PROCEEDINGS OF THE COMBUSTION INSTITUTE  Volume: 32  Pages: 519-526  DOI: 10.1016/j.proci.2008.05.014  Published: 2009  

ISSN: 1540-7489 

 

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Record 50 of 90

Title: Investigation of the Hierarchical Structure of Kinetic Models in Ignition Problems 

Author(s): Bykov, V (Bykov, V.); Maas, U (Maas, U.)

Source: ZEITSCHRIFT FUR PHYSIKALISCHE CHEMIE-INTERNATIONAL JOURNAL OF RESEARCH IN PHYSICAL CHEMISTRY & CHEMICAL PHYSICS  Volume: 223  Issue: 4-5  Pages: 461-479  DOI: 10.1524/zpch.2009.6039  Published: 2009  

ISSN: 0942-9352 

 

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Record 51 of 90

Title: Speed-gradient Entropy Principle for Nonstationary Processes 

Author(s): Fradkov, A (Fradkov, Alexander)

Source: ENTROPY  Volume: 10  Issue: 4  Pages: 757-764  DOI: 10.3390/e10040757  Published: DEC 2008  

ISSN: 1099-4300 

 

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Record 52 of 90

Title: Macroscopic thermodynamics of flowing polymers derived from systematic coarse-graining procedure 

Author(s): Ilg, P (Ilg, Patrick)

Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS  Volume: 387  Issue: 26  Pages: 6484-6496  DOI: 10.1016/j.physa.2008.08.032  Published: NOV 15 2008  

ISSN: 0378-4371 

 

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Record 53 of 90

Title: Oscillations and multiscale dynamics in a closed chemical reaction system: Second law of thermodynamics and temporal complexity 

Author(s): Li, YF (Li, Yongfeng); Qian, H (Qian, Hong); Yi, YF (Yi, Yingfei)

Source: JOURNAL OF CHEMICAL PHYSICS  Volume: 129  Issue: 15  Article Number: 154505  DOI: 10.1063/1.2995855  Published: OCT 21 2008  

ISSN: 0021-9606 

 

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Record 54 of 90

Title: Robust simplifications of multiscale biochemical networks 

Author(s): Radulescu, O (Radulescu, Ovidiu); Gorban, AN (Gorban, Alexander N.); Zinovyev, A (Zinovyev, Andrei); Lilienbaum, A (Lilienbaum, Alain)

Source: BMC SYSTEMS BIOLOGY  Volume: 2  Article Number: 86  DOI: 10.1186/1752-0509-2-86  Published: OCT 14 2008  

ISSN: 1752-0509 

 

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Record 55 of 90

Title: Hyperbolic regularizations of conservation laws 

Author(s): Palin, VV (Palin, V. V.); Radkevich, EV (Radkevich, E. V.)

Source: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS  Volume: 15  Issue: 3  Pages: 343-363  DOI: 10.1134/S1061920808030051  Published: SEP 2008  

ISSN: 1061-9208 

 

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Record 56 of 90

Title: Hydrodynamics beyond Navier-Stokes: The slip flow model 

Author(s): Yudistiawan, WP (Yudistiawan, Wahyu P.); Ansumali, S (Ansumali, Santosh); Karlin, IV (Karlin, Iliya V.)

Source: PHYSICAL REVIEW E  Volume: 78  Issue: 1  Article Number: 016705  DOI: 10.1103/PhysRevE.78.016705  Part: Part 2  Published: JUL 2008  

ISSN: 1539-3755 

 

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Record 57 of 90

Title: Genes, information and sense: complexity and knowledge retrieval 

Author(s): Sadovsky, MG (Sadovsky, Michael G.); Putintseva, JA (Putintseva, Julia A.); Shchepanovsky, AS (Shchepanovsky, Alexander S.)

Source: THEORY IN BIOSCIENCES  Volume: 127  Issue: 2  Pages: 69-78  DOI: 10.1007/s12064-008-0032-1  Published: JUN 2008  

Conference Title: Annual European Conference on Complex Systems 

Conference Date: OCT 01-06, 2007 

Conference Location: Dresden, GERMANY 

ISSN: 1431-7613 

 

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Record 58 of 90

Title: Quasi-equilibrium grid algorithm: Geometric construction for model reduction 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Karlin, IV (Karlin, Iliya V.)

Source: JOURNAL OF COMPUTATIONAL PHYSICS  Volume: 227  Issue: 11  Pages: 5535-5560  DOI: 10.1016/j.jcp.2008.02.006  Published: MAY 10 2008  

ISSN: 0021-9991 

 

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Record 59 of 90

Title: Relating the thermodynamic arrow of time to the causal arrow 

Author(s): Allahverdyan, AE (Allahverdyan, Armen E.); Janzing, D (Janzing, Dominik)

Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT  Article Number: P04001  DOI: 10.1088/1742-5468/2008/04/P04001  Published: APR 2008  

ISSN: 1742-5468 

 

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Record 60 of 90

Title: A method for inferring hierarchical dynamics in stochastic processes 

Author(s): Gornerup, O (Gornerup, Olof); Jacobi, MN (Jacobi, Martin Nilsson)

Source: ADVANCES IN COMPLEX SYSTEMS  Volume: 11  Issue: 1  Pages: 1-16  DOI: 10.1142/S0219525908001507  Published: FEB 2008  

ISSN: 0219-5259 

 

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Record 61 of 90

Title: Automatic Complexity Analysis and Model Reduction of Nonlinear Biochemical Systems 

Author(s): Lebiedz, D (Lebiedz, Dirk); Skanda, D (Skanda, Dominik); Fein, M (Fein, Marc)

Editor(s): Heiner M; Uhrmacher AM

Source: COMPUTATIONAL METHODS IN SYSTEMS BIOLOGY, PROCEEDINGS  Book Series: LECTURE NOTES IN BIOINFORMATICS  Volume: 5307  Pages: 123-140  Published: 2008  

Conference Title: 6th International Conference on Computational Methods in Systems Biology 

Conference Date: OCT 12-15, 2008 

Conference Location: Rostock, GERMANY 

ISSN: 0302-9743 

ISBN: 978-3-540-88561-0 

 

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Record 62 of 90

Title: Newton-Krylov solvers for the equation-free computation of coarse traveling waves 

Author(s): Samaey, G (Samaey, Giovanni); Vanroose, W (Vanroose, Wim); Roose, D (Roose, Dirk); Kevrekidis, IG (Kevrekidis, Ioannis G.)

Source: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING  Volume: 197  Issue: 43-44  Pages: 3480-3491  DOI: 10.1016/j.cma.2007.11.033  Published: 2008  

ISSN: 0045-7825 

 

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Record 63 of 90

Title: Irreducible Chapman-Enskog Projections and Navier-Stokes Approximations 

Author(s): Radkevich, E (Radkevich, Evgenii)

Editor(s): Bardos C; Fursikov A

Source: INSTABILITY IN MODELS CONNECTED WITH FLUID FLOWS II  Book Series: International Mathematical Series  Volume: 7  Pages: 85-153  DOI: 10.1007/978-0-387-75219-8_3  Published: 2008  

ISSN: 1571-5485 

ISBN: 978-0-387-75218-1 

Book DOI: 10.1007/978-0-387-75219-8 

 

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Record 64 of 90

Title: Transport Phenomena in Micro Process Engineering 

Author(s): Kockmann, N (Kockmann, N)

Source: TRANSPORT PHENOMENA IN MICRO PROCESS ENGINEERING  Book Series: Heat and Mass Transfer Series  Pages: 1-365  Published: 2008  

ISSN: 1860-4846 

ISBN: 978-3-540-74616-4 

 

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Record 65 of 90

Title: Comparison of invariant manifolds for model reduction in chemical kinetics 

Author(s): Chiavazzo, E (Chiavazzo, Eliodoro); Gorban, AN (Gorban, Alexander N.); Karlin, IV (Karlin, Ilyia V.)

Source: COMMUNICATIONS IN COMPUTATIONAL PHYSICS  Volume: 2  Issue: 5  Pages: 964-992  Published: OCT 2007  

ISSN: 1815-2406 

 

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Record 66 of 90

Title: Lattice Boltzmann model for the simulation of multicomponent mixtures 

Author(s): Arcidiacono, S (Arcidiacono, S.); Karlin, IV (Karlin, I. V.); Mantzaras, J (Mantzaras, J.); Frouzakis, CE (Frouzakis, C. E.)

Source: PHYSICAL REVIEW E  Volume: 76  Issue: 4  Article Number: 046703  DOI: 10.1103/PhysRevE.76.046703  Part: Part 2  Published: OCT 2007  

ISSN: 1539-3755 

 

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Record 67 of 90

Title: Stable simulation of fluid flow with high-Reynolds number using Ehrenfests' steps 

Author(s): Brownlee, R (Brownlee, R.); Gorban, AN (Gorban, A. N.); Levesley, J (Levesley, J.)

Source: NUMERICAL ALGORITHMS  Volume: 45  Issue: 1-4  Pages: 389-408  DOI: 10.1007/s11075-007-9087-1  Published: AUG 2007  

Conference Title: 1st Dolomites Workshop on Constructive Approximation Theory and Its Applications 

Conference Date: SEP 08-12, 2006 

Conference Location: Alba di Canazei, ITALY 

ISSN: 1017-1398 

 

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Record 68 of 90

Title: Hyperbolicity of exact hydrodynamics for three-dimensional linearized Grad's equations 

Author(s): Colangeli, M (Colangeli, Matteo); Karlin, IV (Karlin, Iliya V.); Kroger, M (Kroeger, Martin)

Source: PHYSICAL REVIEW E  Volume: 76  Issue: 2  Article Number: 022201  DOI: 10.1103/PhysRevE.76.022201  Part: Part 1  Published: AUG 2007  

ISSN: 1539-3755 

 

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Record 69 of 90

Title: Renormalization of the lattice Boltzmann hierarchy 

Author(s): Karlin, IV (Karlin, Iliya V.); Ansumali, S (Ansumali, Santosh)

Source: PHYSICAL REVIEW E  Volume: 76  Issue: 2  Article Number: 025701  DOI: 10.1103/PhysRevE.76.025701  Part: Part 2  Published: AUG 2007  

ISSN: 1539-3755 

 

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Record 70 of 90

Title: Numerical continuation of normally hyperbolic invariant manifolds 

Author(s): Broer, HW (Broer, H. W.); Hagen, A (Hagen, A.); Vegter, G (Vegter, G.)

Source: NONLINEARITY  Volume: 20  Issue: 6  Pages: 1499-1534  DOI: 10.1088/0951-7715/20/6/011  Published: JUN 2007  

ISSN: 0951-7715 

 

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Record 71 of 90

Title: From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations 

Author(s): Colangeli, M (Colangeli, Matteo); Karlin, IV (Karlin, Iliya V.); Kroger, M (Kroeger, Martin)

Source: PHYSICAL REVIEW E  Volume: 75  Issue: 5  Article Number: 051204  DOI: 10.1103/PhysRevE.75.051204  Part: Part 1  Published: MAY 2007  

ISSN: 1539-3755 

 

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Record 72 of 90

Title: Elements of the lattice Boltzmann method II: Kinetics and hydrodynamics in one dimension 

Author(s): Karlin, IV (Karlin, Iliya V.); Chikatamarla, SS (Chikatamarla, Shyam S.); Ansumali, S (Ansumali, Santosh)

Source: COMMUNICATIONS IN COMPUTATIONAL PHYSICS  Volume: 2  Issue: 2  Pages: 196-238  Published: APR 2007  

ISSN: 1815-2406 

 

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Record 73 of 90

Title: Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy 

Author(s): Ansumali, S (Ansumali, S.); Karlin, IV (Karlin, I. V.); Arcidiacono, S (Arcidiacono, S.); Abbas, A (Abbas, A.); Prasianakis, NI (Prasianakis, N. I.)

Source: PHYSICAL REVIEW LETTERS  Volume: 98  Issue: 12  Article Number: 124502  DOI: 10.1103/PhysRevLett.98.124502  Published: MAR 23 2007  

ISSN: 0031-9007 

 

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Record 74 of 90

Title: Stability and stabilization of the lattice Boltzmann method 

Author(s): Brownlee, RA (Brownlee, R. A.); Gorban, AN (Gorban, A. N.); Levesley, J (Levesley, J.)

Source: PHYSICAL REVIEW E  Volume: 75  Issue: 3  Article Number: 036711  DOI: 10.1103/PhysRevE.75.036711  Part: Part 2  Published: MAR 2007  

ISSN: 1539-3755 

 

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Record 75 of 90

Title: Order-disorder separation: Geometric revision 

Author(s): Gorban, A (Gorban, Alexander)

Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS  Volume: 374  Issue: 1  Pages: 85-102  DOI: 10.1016/j.physa.2006.07.034  Published: JAN 15 2007  

ISSN: 0378-4371 

 

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Record 76 of 90

Title: Diffusion limited reactions 

Author(s): Goldstein, B (Goldstein, Byron); Levine, H (Levine, Harold); Torney, D (Torney, David)

Source: SIAM JOURNAL ON APPLIED MATHEMATICS  Volume: 67  Issue: 4  Pages: 1147-1165  DOI: 10.1137/060655018  Published: 2007  

ISSN: 0036-1399 

 

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Record 77 of 90

Title: Scaling and expansion of moment equations in kinetic theory 

Author(s): Struchtrup, H (Struchtrup, Henning)

Source: JOURNAL OF STATISTICAL PHYSICS  Volume: 125  Issue: 3  Pages: 569-591  DOI: 10.1007/s10955-006-9199-3  Published: NOV 2006  

ISSN: 0022-4715 

 

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Record 78 of 90

Title: Simulation of binary mixtures with the lattice Boltzman method 

Author(s): Arcidiacono, S (Arcidiacono, S.); Mantzaras, J (Mantzaras, J.); Ansumali, S (Ansumali, S.); Karlin, IV (Karlin, I. V.); Frouzakis, C (Frouzakis, C.); Boulouchos, KB (Boulouchos, K. B.)

Source: PHYSICAL REVIEW E  Volume: 74  Issue: 5  Article Number: 056707  DOI: 10.1103/PhysRevE.74.056707  Part: Part 2  Published: NOV 2006  

ISSN: 1539-3755 

 

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Record 79 of 90

Title: Elements of the lattice Boltzmann method I: Linear advection equation 

Author(s): Karlin, IV (Karlin, Iliya V.); Ansumali, S (Ansumali, Santosh); Frouzakis, CE (Frouzakis, Christos E.); Chikatamarla, SS (Chikatamarla, Shyam Sunder)

Source: COMMUNICATIONS IN COMPUTATIONAL PHYSICS  Volume: 1  Issue: 4  Pages: 616-655  Published: AUG 2006  

ISSN: 1815-2406 

 

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Record 80 of 90

Title: Grad's approximation for missing data in lattice Boltzmann simulations 

Author(s): Chikatamarla, SS (Chikatamarla, SS); Ansumali, S (Ansumali, S); Karlin, IV (Karlin, IV)

Source: EUROPHYSICS LETTERS  Volume: 74  Issue: 2  Pages: 215-221  DOI: 10.1209/epl/i2005-10535-x  Published: APR 2006  

ISSN: 0295-5075 

 

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Record 81 of 90

Title: Quasi-equilibrium closure hierarchies for the Boltzmann equation 

Author(s): Gorban, AN (Gorban, AN); Karlin, IV (Karlin, IV)

Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS  Volume: 360  Issue: 2  Pages: 325-364  DOI: 10.1016/j.physa.2005.07.016  Published: FEB 1 2006  

ISSN: 0378-4371 

 

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Record 82 of 90

Title: A new model reduction method for nonlinear dynamical systems using singular PDE theory 

Author(s): Kazantzis, N (Kazantzis, N.); Kravaris, C (Kravaris, C.)

Editor(s): Gorban AN; Kazantzis NK; Kevrekidis IG; Ottinger HC; Theodoropoulos C

Source: Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena  Pages: 3-15  DOI: 10.1007/3-540-35888-9_1  Published: 2006  

Conference Title: Workshop on Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena 

Conference Date: AUG 24-26, 2005 

Conference Location: Leicester, ENGLAND 

Conference Host: Univ Leicester

ISBN: 3-540-35885-4 

 

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Record 83 of 90

Title: Basic types of coarse-graining 

Author(s): Gorban, AN (Gorban, A. N.)

Editor(s): Gorban AN; Kazantzis NK; Kevrekidis IG; Ottinger HC; Theodoropoulos C

Source: MODEL REDUCTION AND COARSE-GRAINING APPROACHES FOR MULTISCALE PHENOMENA  Pages: 117-176  DOI: 10.1007/3-540-35888-9_7  Published: 2006  

Conference Title: Workshop on Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena 

Conference Date: AUG 24-26, 2005 

Conference Location: Leicester, ENGLAND 

Conference Host: Univ Leicester

ISBN: 3-540-35885-4 

 

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Record 84 of 90

Title: Model reduction in kinetic theory 

Author(s): Struchtrup, H (Struchtrup, H.)

Editor(s): Gorban AN; Kazantzis NK; Kevrekidis IG; Ottinger HC; Theodoropoulos C

Source: MODEL REDUCTION AND COARSE-GRAINING APPROACHES FOR MULTISCALE PHENOMENA  Pages: 317-341  DOI: 10.1007/3-540-35888-9_14  Published: 2006  

Conference Title: Workshop on Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena 

Conference Date: AUG 24-26, 2005 

Conference Location: Leicester, ENGLAND 

Conference Host: Univ Leicester

ISBN: 3-540-35885-4 

 

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Record 85 of 90

Title: Lattice Boltzmann method and kinetic theory 

Author(s): Ansumali, S (Ansumali, S.); Chikatamarla, SS (Chikatamarla, S. S.); Frouzakis, CE (Frouzakis, C. E.); Karlin, IV (Karlin, I. V.); Kevrekidis, IG (Kevrekidis, I. G.)

Editor(s): Gorban AN; Kazantzis NK; Kevrekidis IG; Ottinger HC; Theodoropoulos C

Source: Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena  Pages: 403-422  DOI: 10.1007/3-540-35888-9_18  Published: 2006  

Conference Title: Workshop on Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena 

Conference Date: AUG 24-26, 2005 

Conference Location: Leicester, ENGLAND 

Conference Host: Univ Leicester

ISBN: 3-540-35885-4 

 

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Record 86 of 90

Title: Entropic lattice Boltzmann method for microflows 

Author(s): Ansumali, S (Ansumali, S); Karlin, IV (Karlin, IV); Frouzakis, CE (Frouzakis, CE); Boulouchos, KB (Boulouchos, KB)

Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS  Volume: 359  Pages: 289-305  DOI: 10.1016/j.physa.2005.04.039  Published: JAN 1 2006  

ISSN: 0378-4371 

 

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Record 87 of 90

Title: Consistent lattice Boltzmann method 

Author(s): Ansumali, S (Ansumali, S); Karlin, IV (Karlin, IV)

Source: PHYSICAL REVIEW LETTERS  Volume: 95  Issue: 26  Article Number: 260605  DOI: 10.1103/PhysRevLett.95.260605  Published: DEC 31 2005  

ISSN: 0031-9007 

 

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Record 88 of 90

Title: Invariance correction to Grad's equations: where to go beyond approximations? 

Author(s): Gorban, AN (Gorban, AN); Karlin, IV (Karlin, IV)

Source: CONTINUUM MECHANICS AND THERMODYNAMICS  Volume: 17  Issue: 4  Pages: 311-335  DOI: 10.1007/s00161-005-0202-z  Published: DEC 2005  

ISSN: 0935-1175 

 

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Record 89 of 90

Title: Thermodynamic theory of incompressible hydrodynamics 

Author(s): Ansumali, S (Ansumali, S); Karlin, IV (Karlin, IV); Ottinger, HC (Ottinger, HC)

Source: PHYSICAL REVIEW LETTERS  Volume: 94  Issue: 8  Article Number: 080602  DOI: 10.1103/PhysRevLett.94.080602  Published: MAR 4 2005  

ISSN: 0031-9007 

 

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Record 90 of 90

Title: Projecting to a slow manifold: Singularly perturbed systems and legacy codes 

Author(s): Gear, CW (Gear, CW); Kaper, TJ (Kaper, TJ); Kevrekidis, IG (Kevrekidis, IG); Zagaris, A (Zagaris, A)

Source: SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS  Volume: 4  Issue: 3  Pages: 711-732  DOI: 10.1137/040608295  Published: 2005  

ISSN: 1536-0040 

 

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