Verfügbarkeit: Mathematical modeling

Mathematical modeling:

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1. Verfasser:	Meerschaert, Mark M. 1955- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Amsterdam [u.a.] Academic Press, Elsevier 2013
Ausgabe:	4. ed.
Schlagworte:	Mathematisches Modell Mathematical models Optimierung Dynamisches System Stochastische Kontrolltheorie Stochastischer Prozess
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XII, 365 S. graph. Darst.
ISBN:	9780123869128

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MARC


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Datensatz im Suchindex

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adam_text	Contents Preface vii I OPTIMIZATION MODELS 1 1 ONE VARIABLE OPTIMIZATION 3 1.1 The five-step Method ......................... 3 1.2 Sensitivity Analysis .......................... 9 1.3 Sensitivity and Robustness ..................... 14 1.4 Exercises ............................... 16 2 MULTIVARIABLE OPTIMIZATION 21 2.1 Unconstrained Optimization ..................... 21 2.2 Lagrange Multipliers ......................... 31 2.3 Sensitivity Analysis and Shadow Prices .............. 41 2.4 Exercises ............................... 50 3 COMPUTATIONAL METHODS FOR OPTIMIZATION 57 3.1 One Variable Optimization ..................... 57 3.2 Multivariable Optimization ..................... 66 3.3 Linear Programming ......................... 74 3.4 Discrete Optimization ........................ 91 3.5 Exercises ............................... 102 II DYNAMIC MODELS 113 4 INTRODUCTION TO DYNAMIC MODELS 115 4.1 Steady State Analysis ........................ 115 4.2 Dynamical Systems .......................... 120 4.3 Discrete Time Dynamical Systems ................. 126 4.4 Exercises ............................... 132 5 ANALYSIS OF DYNAMIC MODELS 139 5.1 Eigenvalue Methods ......................... 139 5.2 Eigenvalue Methods for Discrete Systems ............. 144 vi CONTENTS 5.3 Phase Portraits ............................150 5.4 Exercises ...............................164 6 SIMULATION OF DYNAMIC MODELS 171 6.1 Introduction to Simulation ......................171 6.2 Continuous-Time Models ......................178 6.3 The Euler Method ..........................186 6.4 Chaos and Fractals ..........................191 6.5 Exercises ...............................206 III PROBABILITY MODELS 221 7 INTRODUCTION TO PROBABILITY MODELS 223 7.1 Discrete Probability Models .....................223 7.2 Continuous Probability Models ...................228 7.3 Introduction to Statistics ......................231 7.4 Diffusion ................................236 7.5 Exercises ...............................241 8 STOCHASTIC MODELS 251 8.1 Markov Chains ............................251 8.2 Markov Processes ...........................261 8.3 Linear Regression ...........................271 8.4 Time Series ..............................280 8.5 Exercises ...............................290 9 SIMULATION OF PROBABILITY MODELS 301 9.1 Monte Carlo Simulation ....................... 301 9.2 The Markov Property ........................ 308 9.3 Analytic Simulation ......................... 317 9.4 Particle Tracking ........................... 323 9.5 Fractional Diffusion ......................... 335 9.6 Exercises ............................... 347 Afterword 359 Index 363
any_adam_object	1
author	Meerschaert, Mark M. 1955-
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ctrlnum	(OCoLC)842493089 (DE-599)BVBBV041081955
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dewey-ones	511 - General principles of mathematics
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dewey-tens	510 - Mathematics
discipline	Mathematik
edition	4. ed.
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spelling	Meerschaert, Mark M. 1955- Verfasser (DE-588)172693497 aut Mathematical modeling Mark M. Meerschaert 4. ed. Amsterdam [u.a.] Academic Press, Elsevier 2013 XII, 365 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Mathematical models Optimierung (DE-588)4043664-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Stochastische Kontrolltheorie (DE-588)4263657-7 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 s Dynamisches System (DE-588)4013396-5 s Stochastische Kontrolltheorie (DE-588)4263657-7 s Optimierung (DE-588)4043664-0 s DE-604 Stochastischer Prozess (DE-588)4057630-9 s 1\p DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026058724&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Meerschaert, Mark M. 1955- Mathematical modeling Mathematisches Modell Mathematical models Optimierung (DE-588)4043664-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Dynamisches System (DE-588)4013396-5 gnd Stochastische Kontrolltheorie (DE-588)4263657-7 gnd Stochastischer Prozess (DE-588)4057630-9 gnd
subject_GND	(DE-588)4043664-0 (DE-588)4114528-8 (DE-588)4013396-5 (DE-588)4263657-7 (DE-588)4057630-9
title	Mathematical modeling
title_auth	Mathematical modeling
title_exact_search	Mathematical modeling
title_full	Mathematical modeling Mark M. Meerschaert
title_fullStr	Mathematical modeling Mark M. Meerschaert
title_full_unstemmed	Mathematical modeling Mark M. Meerschaert
title_short	Mathematical modeling
title_sort	mathematical modeling
topic	Mathematisches Modell Mathematical models Optimierung (DE-588)4043664-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Dynamisches System (DE-588)4013396-5 gnd Stochastische Kontrolltheorie (DE-588)4263657-7 gnd Stochastischer Prozess (DE-588)4057630-9 gnd
topic_facet	Mathematisches Modell Mathematical models Optimierung Dynamisches System Stochastische Kontrolltheorie Stochastischer Prozess
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026058724&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT meerschaertmarkm mathematicalmodeling

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