Numerical methods and modeling for chemical engineers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Wiley
1984
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XII, 258 S. graph. Darst. |
| ISBN: | 0471887617 |
Internformat
MARC
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| 100 | 1 | |a Davis, Mark E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical methods and modeling for chemical engineers |
| 264 | 1 | |a New York u.a. |b Wiley |c 1984 | |
| 300 | |a XII, 258 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Génie chimique - Modèles mathématiques | |
| 650 | 4 | |a Équations différentielles | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Chemical engineering |x Mathematical models | |
| 650 | 4 | |a Differential equations | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001333793 | ||
Datensatz im Suchindex
| _version_ | 1804116490032513024 |
|---|---|
| adam_text | Contents
Chapter 1 Initial Value Problems for
Ordinary Differential Equations 1
Introduction 1
Background 1
Explicit Methods 3
Stability 8
Runge Kutta Methods 11
Implicit Methods 19
Extrapolation 21
Multistep Methods 24
High Order Methods Based on Knowledge 28
of df/dy
Stiffness 29
Systems of Differential Equations 32
Step Size Strategies 36
Mathematical Software 37
Problems 44
References 49
Bibliography 52
ix
X Contents
Chapter 2 Boundary Value Problems
for Ordinary Differential
Equations: Discrete Variable Methods 53
Introduction 53
Background 53
Initial Value Methods 54
Shooting Methods 54
Multiple Shooting 63
Superposition 65
Finite Difference Methods 67
Linear Second Order Equations 68
Flux Boundary Conditions 71
Integration Method 75
Nonlinear Second Order Equations 79
First Order Systems 83
Higher Order Methods 85
Mathematical Software 87
Problems 91
References 93
Bibliography 95
Chapter 3 Boundary Value Problems
for Ordinary Differential
Equations: Finite Element Methods 97
Introduction 97
Background 97
Piecewise Polynomial Functions 99
The Gaierkin Method 104
Nonlinear Equations 109
Inhomogeneous Dirichlet
and Flux Boundary Conditions 110
Mathematical Software 111
Collocation 112
Mathematical Software 119
Problems 123
References 125
Bibliography 126
Contents XI
Chapter 4 Parabolic Partial Differential
Equations in One Space Variable 127
Introduction 127
Classification of
Partial Differential Equations 127
Method of Lines 128
Finite Differences 130
Low Order Time Approximations 130
The Theta Method 133
Boundary and Initial Conditions 135
Nonlinear Equations 140
Inhomogeneous Media 142
High Order Time Approximations 147
Finite Elements 154
Galerkin 154
Collocation 158
Mathematical Software 162
Problems 167
References 172
Bibliography 174
Chapter 5 Partial Differential
Equations in Two Space Variables 177
Introduction 177
Elliptic PDEs—Finite Differences 177
Background 177
Laplace s Equation in a Square 178
Dirichlet Problem 178
Neumann Problem 179
Robin Problem 180
Variable Coefficients and Nonlinear Problems 184
Nonuniform Grids 185
Irregular Boundaries 190
Dirichlet Condition 190
Normal Derivative Conditions 191
Elliptic PDEs—Finite Elements 192
Background 192
Collocation 194
Galerkin 200
xli Contents
Parabolic PDEs in Two Space Variables 211
Method of Lines 211
Alternating Direction Implicit Methods 212
Mathematical Software 214
Parabolics 215
Elliptics 219
Problems 222
References 224
Bibliography 227
Appendices
A: Computer Arithmetic and Error Control 229
Computer Number System 229
Normalized Floating Point Number System 230
Round Off Errors 230
B: Newton s Method 235
C: Gaussian Elimination 237
Dense Matrix 237
Tridiagonal Matrix 241
D: B Spllnes 243
E: Iterative Matrix Methods 247
Appendix References 249
Author Index 251
Subject Index 255
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:20Z |
| institution | BVB |
| isbn | 0471887617 |
| language | English |
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| physical | XII, 258 S. graph. Darst. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Wiley |
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| spelling | Davis, Mark E. Verfasser aut Numerical methods and modeling for chemical engineers New York u.a. Wiley 1984 XII, 258 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Génie chimique - Modèles mathématiques Équations différentielles Mathematisches Modell Chemical engineering Mathematical models Differential equations Verfahrenstechnik (DE-588)4062781-0 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Verfahrenstechnik (DE-588)4062781-0 s Numerische Mathematik (DE-588)4042805-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001333793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Davis, Mark E. Numerical methods and modeling for chemical engineers Génie chimique - Modèles mathématiques Équations différentielles Mathematisches Modell Chemical engineering Mathematical models Differential equations Verfahrenstechnik (DE-588)4062781-0 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4062781-0 (DE-588)4042805-9 |
| title | Numerical methods and modeling for chemical engineers |
| title_auth | Numerical methods and modeling for chemical engineers |
| title_exact_search | Numerical methods and modeling for chemical engineers |
| title_full | Numerical methods and modeling for chemical engineers |
| title_fullStr | Numerical methods and modeling for chemical engineers |
| title_full_unstemmed | Numerical methods and modeling for chemical engineers |
| title_short | Numerical methods and modeling for chemical engineers |
| title_sort | numerical methods and modeling for chemical engineers |
| topic | Génie chimique - Modèles mathématiques Équations différentielles Mathematisches Modell Chemical engineering Mathematical models Differential equations Verfahrenstechnik (DE-588)4062781-0 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Génie chimique - Modèles mathématiques Équations différentielles Mathematisches Modell Chemical engineering Mathematical models Differential equations Verfahrenstechnik Numerische Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001333793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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