Verfügbarkeit: Model reduction and coarse-graining approaches for multiscale phenomena

Model reduction and coarse-graining approaches for multiscale phenomena:

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Bibliographische Detailangaben
Weitere Verfasser:	Gorban', Aleksandr N. (HerausgeberIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin ; Heidelberg ; New York Springer 2006
Schriftenreihe:	Springer complexity
Schlagworte:	Dynamique - Congrès Modèles mathématiques - Congrès Physique statistique - Congrès Variétés invariantes - Congrès Mathematisches Modell Dynamics > Congresses Invariant manifolds > Congresses Mathematical models > Congresses Statistical physics > Congresses Coarse graining Ordnungsreduktion Aufsatzsammlung Konferenzschrift
Online-Zugang:	Inhaltstext Inhaltsverzeichnis
Beschreibung:	Literaturangaben
Beschreibung:	XI, 560 S. graph. Darst. 24 cm
ISBN:	9783540358855 3540358854

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adam_text	CONTENTS PART I COMPUTATION OF INVARIANT MANIFOLDS A NEW MODEL REDUCTION METHOD FOR NONLINEAR DYNAMICAL SYSTEMS USING SINGULAR PDE THEORY N. KAZANTZIS, C. KRAVARIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 A VERSATILE ALGORITHM FOR COMPUTING INVARIANT MANIFOLDS H. W. BROER, A. HAGEN, G. VEGTER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 COVERING AN INVARIANT MANIFOLD WITH FAT TRAJECTORIES M. E. HENDERSON . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 GHOST ILDM-MANIFOLDS AND THEIR IDENTIFICATION S. BOROK, I. GOLDFARB, V. GOLDSHTEIN, U. MAAS . . . . . . . . . . . . . . . . . . . . . . 55 DYNAMIC DECOMPOSITION OF ODE SYSTEMS: APPLICATION TO MODELLING OF DIESEL FUEL SPRAYS V. BYKOV, I. GOLDFARB, V. GOLDSHTEIN, S. SAZHIN, E. SAZHINA . . . . . . . . . . 81 MODEL REDUCTION OF MULTIPLE TIME SCALE PROCESSES IN NON-STANDARD SINGULARLY PERTURBED FORM N. P. VORA, M.-N. CONTOU-CARRERE, P. DAOUTIDIS . . . . . . . . . . . . . . . . . . . . . 99 PART II COARSE-GRAINING AND IDEAS OF STATISTICAL PHYSICS BASIC TYPES OF COARSE-GRAINING A. N. GORBAN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 RENORMALIZATION GROUP METHODS FOR COARSE-GRAINING OF EVOLUTION EQUATIONS A. DEGENHARD, J. RODR´ GUEZ-LAGUNA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 X CONTENTS A STOCHASTIC PROCESS BEHIND BOLTZMANNS KINETIC EQUATION AND ISSUES OF COARSE GRAINING H. C. ¨ OTTINGER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207 FINITE DIFFERENCE PATCH DYNAMICS FOR ADVECTION HOMOGENIZATION PROBLEMS G. SAMAEY, D. ROOSE, I. G. KEVREKIDIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225 COARSE-GRAINING THE CYCLIC LOTKA-VOLTERRA MODEL: SSA AND LOCAL MAXIMUM LIKELIHOOD ESTIMATION C. P. CALDERON, G. A. TSEKOURAS, A. PROVATA, I. G. KEVREKIDIS . . . . . . . . 247 RELATIONS BETWEEN INFORMATION THEORY, ROBUSTNESS AND STATISTICAL MECHANICS OF STOCHASTIC UNCERTAIN SYSTEMS VIA LARGE DEVIATION THEORY C. D. CHARALAMBOUS, A. KYPRIANOU, F. REZAEI . . . . . . . . . . . . . . . . . . . . . . . 269 PART III KINETICS AND MODEL REDUCTION EXACTLY REDUCED CHEMICAL MASTER EQUATIONS M. R. ROUSSEL, R. ZHU . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295 MODEL REDUCTION IN KINETIC THEORY H. STRUCHTRUP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 NOVEL TRAJECTORY BASED CONCEPTS FOR MODEL AND COMPLEXITY REDUCTION IN (BIO)CHEMICAL KINETICS D. LEBIEDZ, V. REINHARDT, J. KAMMERER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 DYNAMICS OF THE PLASMA SHEATH M. SLEMROD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365 PART IV MESOSCALE AND MULTISCALE MODELING CONSTRUCTION OF STOCHASTIC PDES AND PREDICTIVE CONTROL OF SURFACE ROUGHNESS IN THIN FILM DEPOSITION D. NI, P. D. CHRISTOFIDES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375 LATTICE BOLTZMANN METHOD AND KINETIC THEORY S. ANSUMALI, S. S. CHIKATAMARLA, C. E. FROUZAKIS, I. V. KARLIN, I. G. KEVREKIDIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403 NUMERICAL AND ANALYTICAL SPATIAL COUPLING OF A LATTICE BOLTZMANN MODEL AND A PARTIAL DIFFERENTIAL EQUATION P. VAN LEEMPUT, W. VANROOSE, D. ROOSE . . . . . . . . . . . . . . . . . . . . . . . . . . . . 423 CONTENTS XI MODELLING AND CONTROL CONSIDERATIONS FOR PARTICLE POPULATIONS IN PARTICULATE PROCESSES WITHIN A MULTI-SCALE FRAMEWORK N. BIANCO, C. D. IMMANUEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 443 DIAGNOSTIC GOAL-DRIVEN REDUCTION OF MULTISCALE PROCESS MODELS E. N´ EMETH, R. LAKNER, K. M. HANGOS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 465 UNDERSTANDING MACROSCOPIC HEAT/MASS TRANSFER USING MESO- AND MACRO-SCALE SIMULATIONS D. V. PAPAVASSILIOU . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 489 AN EFFICIENT OPTIMIZATION APPROACH FOR COMPUTATIONALLY EXPENSIVE TIMESTEPPERS USING TABULATION A. VARSHNEY, A. ARMAOU . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515 A REDUCED INPUT/OUTPUT DYNAMIC OPTIMISATION METHOD FOR MACROSCOPIC AND MICROSCOPIC SYSTEMS C. THEODOROPOULOS, E. LUNA-ORTIZ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 535
adam_txt	CONTENTS PART I COMPUTATION OF INVARIANT MANIFOLDS A NEW MODEL REDUCTION METHOD FOR NONLINEAR DYNAMICAL SYSTEMS USING SINGULAR PDE THEORY N. KAZANTZIS, C. KRAVARIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 A VERSATILE ALGORITHM FOR COMPUTING INVARIANT MANIFOLDS H. W. BROER, A. HAGEN, G. VEGTER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 COVERING AN INVARIANT MANIFOLD WITH FAT TRAJECTORIES M. E. HENDERSON . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 GHOST ILDM-MANIFOLDS AND THEIR IDENTIFICATION S. BOROK, I. GOLDFARB, V. GOLDSHTEIN, U. MAAS . . . . . . . . . . . . . . . . . . . . . . 55 DYNAMIC DECOMPOSITION OF ODE SYSTEMS: APPLICATION TO MODELLING OF DIESEL FUEL SPRAYS V. BYKOV, I. GOLDFARB, V. GOLDSHTEIN, S. SAZHIN, E. SAZHINA . . . . . . . . . . 81 MODEL REDUCTION OF MULTIPLE TIME SCALE PROCESSES IN NON-STANDARD SINGULARLY PERTURBED FORM N. P. VORA, M.-N. CONTOU-CARRERE, P. DAOUTIDIS . . . . . . . . . . . . . . . . . . . . . 99 PART II COARSE-GRAINING AND IDEAS OF STATISTICAL PHYSICS BASIC TYPES OF COARSE-GRAINING A. N. GORBAN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 RENORMALIZATION GROUP METHODS FOR COARSE-GRAINING OF EVOLUTION EQUATIONS A. DEGENHARD, J. RODR´ GUEZ-LAGUNA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 X CONTENTS A STOCHASTIC PROCESS BEHIND BOLTZMANNS KINETIC EQUATION AND ISSUES OF COARSE GRAINING H. C. ¨ OTTINGER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207 FINITE DIFFERENCE PATCH DYNAMICS FOR ADVECTION HOMOGENIZATION PROBLEMS G. SAMAEY, D. ROOSE, I. G. KEVREKIDIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225 COARSE-GRAINING THE CYCLIC LOTKA-VOLTERRA MODEL: SSA AND LOCAL MAXIMUM LIKELIHOOD ESTIMATION C. P. CALDERON, G. A. TSEKOURAS, A. PROVATA, I. G. KEVREKIDIS . . . . . . . . 247 RELATIONS BETWEEN INFORMATION THEORY, ROBUSTNESS AND STATISTICAL MECHANICS OF STOCHASTIC UNCERTAIN SYSTEMS VIA LARGE DEVIATION THEORY C. D. CHARALAMBOUS, A. KYPRIANOU, F. REZAEI . . . . . . . . . . . . . . . . . . . . . . . 269 PART III KINETICS AND MODEL REDUCTION EXACTLY REDUCED CHEMICAL MASTER EQUATIONS M. R. ROUSSEL, R. ZHU . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295 MODEL REDUCTION IN KINETIC THEORY H. STRUCHTRUP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 NOVEL TRAJECTORY BASED CONCEPTS FOR MODEL AND COMPLEXITY REDUCTION IN (BIO)CHEMICAL KINETICS D. LEBIEDZ, V. REINHARDT, J. KAMMERER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 DYNAMICS OF THE PLASMA SHEATH M. SLEMROD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365 PART IV MESOSCALE AND MULTISCALE MODELING CONSTRUCTION OF STOCHASTIC PDES AND PREDICTIVE CONTROL OF SURFACE ROUGHNESS IN THIN FILM DEPOSITION D. NI, P. D. CHRISTOFIDES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375 LATTICE BOLTZMANN METHOD AND KINETIC THEORY S. ANSUMALI, S. S. CHIKATAMARLA, C. E. FROUZAKIS, I. V. KARLIN, I. G. KEVREKIDIS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403 NUMERICAL AND ANALYTICAL SPATIAL COUPLING OF A LATTICE BOLTZMANN MODEL AND A PARTIAL DIFFERENTIAL EQUATION P. VAN LEEMPUT, W. VANROOSE, D. ROOSE . . . . . . . . . . . . . . . . . . . . . . . . . . . . 423 CONTENTS XI MODELLING AND CONTROL CONSIDERATIONS FOR PARTICLE POPULATIONS IN PARTICULATE PROCESSES WITHIN A MULTI-SCALE FRAMEWORK N. BIANCO, C. D. IMMANUEL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 443 DIAGNOSTIC GOAL-DRIVEN REDUCTION OF MULTISCALE PROCESS MODELS E. N´ EMETH, R. LAKNER, K. M. HANGOS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 465 UNDERSTANDING MACROSCOPIC HEAT/MASS TRANSFER USING MESO- AND MACRO-SCALE SIMULATIONS D. V. PAPAVASSILIOU . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 489 AN EFFICIENT OPTIMIZATION APPROACH FOR COMPUTATIONALLY EXPENSIVE TIMESTEPPERS USING TABULATION A. VARSHNEY, A. ARMAOU . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515 A REDUCED INPUT/OUTPUT DYNAMIC OPTIMISATION METHOD FOR MACROSCOPIC AND MICROSCOPIC SYSTEMS C. THEODOROPOULOS, E. LUNA-ORTIZ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 535
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physical	XI, 560 S. graph. Darst. 24 cm
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spelling	Model reduction and coarse-graining approaches for multiscale phenomena Alexander N. Gorban ... (eds.) Berlin ; Heidelberg ; New York Springer 2006 XI, 560 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Springer complexity Literaturangaben Dynamique - Congrès Modèles mathématiques - Congrès Physique statistique - Congrès Variétés invariantes - Congrès Mathematisches Modell Dynamics Congresses Invariant manifolds Congresses Mathematical models Congresses Statistical physics Congresses Coarse graining (DE-588)4487765-1 gnd rswk-swf Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)1071861417 Konferenzschrift gnd-content Ordnungsreduktion (DE-588)4136085-0 s DE-604 Coarse graining (DE-588)4487765-1 s Gorban', Aleksandr N. edt text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2822002&prov=M&dok_var=1&dok_ext=htm Inhaltstext SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015640326&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Model reduction and coarse-graining approaches for multiscale phenomena Dynamique - Congrès Modèles mathématiques - Congrès Physique statistique - Congrès Variétés invariantes - Congrès Mathematisches Modell Dynamics Congresses Invariant manifolds Congresses Mathematical models Congresses Statistical physics Congresses Coarse graining (DE-588)4487765-1 gnd Ordnungsreduktion (DE-588)4136085-0 gnd
subject_GND	(DE-588)4487765-1 (DE-588)4136085-0 (DE-588)4143413-4 (DE-588)1071861417
title	Model reduction and coarse-graining approaches for multiscale phenomena
title_auth	Model reduction and coarse-graining approaches for multiscale phenomena
title_exact_search	Model reduction and coarse-graining approaches for multiscale phenomena
title_exact_search_txtP	Model reduction and coarse-graining approaches for multiscale phenomena
title_full	Model reduction and coarse-graining approaches for multiscale phenomena Alexander N. Gorban ... (eds.)
title_fullStr	Model reduction and coarse-graining approaches for multiscale phenomena Alexander N. Gorban ... (eds.)
title_full_unstemmed	Model reduction and coarse-graining approaches for multiscale phenomena Alexander N. Gorban ... (eds.)
title_short	Model reduction and coarse-graining approaches for multiscale phenomena
title_sort	model reduction and coarse graining approaches for multiscale phenomena
topic	Dynamique - Congrès Modèles mathématiques - Congrès Physique statistique - Congrès Variétés invariantes - Congrès Mathematisches Modell Dynamics Congresses Invariant manifolds Congresses Mathematical models Congresses Statistical physics Congresses Coarse graining (DE-588)4487765-1 gnd Ordnungsreduktion (DE-588)4136085-0 gnd
topic_facet	Dynamique - Congrès Modèles mathématiques - Congrès Physique statistique - Congrès Variétés invariantes - Congrès Mathematisches Modell Dynamics Congresses Invariant manifolds Congresses Mathematical models Congresses Statistical physics Congresses Coarse graining Ordnungsreduktion Aufsatzsammlung Konferenzschrift
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work_keys_str_mv	AT gorbanaleksandrn modelreductionandcoarsegrainingapproachesformultiscalephenomena

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