Mathematical modeling:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Academic Press, Elsevier
2013
|
| Edition: | 4. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 365 S. graph. Darst. |
| ISBN: | 9780123869128 |
Staff View
MARC
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| 100 | 1 | |a Meerschaert, Mark M. |d 1955- |e Verfasser |0 (DE-588)172693497 |4 aut | |
| 245 | 1 | 0 | |a Mathematical modeling |c Mark M. Meerschaert |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Academic Press, Elsevier |c 2013 | |
| 300 | |a XII, 365 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
| _version_ | 1804150453731065856 |
|---|---|
| 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
|
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| author | Meerschaert, Mark M. 1955- |
| author_GND | (DE-588)172693497 |
| author_facet | Meerschaert, Mark M. 1955- |
| author_role | aut |
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| bvnumber | BV041081955 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA401 |
| callnumber-search | QA401 |
| callnumber-sort | QA 3401 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 130 SK 950 |
| ctrlnum | (OCoLC)842493089 (DE-599)BVBBV041081955 |
| dewey-full | 511/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.8 |
| dewey-search | 511/.8 |
| dewey-sort | 3511 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 4. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T00:39:10Z |
| institution | BVB |
| isbn | 9780123869128 |
| language | English |
| lccn | 2012037454 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026058724 |
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| physical | XII, 365 S. graph. Darst. |
| publishDate | 2013 |
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| publisher | Academic Press, Elsevier |
| record_format | marc |
| 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 |
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