Scaling of Differential Equations (Запис № 444244)

МАРК-запис
000 -LEADER
fixed length control field 03830nam a22005775i 4500
001 - CONTROL NUMBER
control field 978-3-319-32726-6
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220201124707.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 160615s2016 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319327266
-- 978-3-319-32726-6
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-319-32726-6
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA370-380
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKJ
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT007000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKJ
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.35
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Langtangen, Hans Petter.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Scaling of Differential Equations
Medium [electronic resource] /
Statement of responsibility, etc by Hans Petter Langtangen, Geir K. Pedersen.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2016.
264 #1 -
-- Cham :
-- Springer International Publishing :
-- Imprint: Springer,
-- 2016.
300 ## - PHYSICAL DESCRIPTION
Extent XIII, 138 p. 22 illus.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Simula SpringerBriefs on Computing,
Міжнародний стандартний серійний номер для назви серії (ISSN) 2512-1685 ;
Том/ позначення послідовності 2
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- 1 Dimensions and Units -- 2 Ordinary Differential Equations Models -- 3 Basic Partial Differential Equations Models -- Advanced Partial Differential Equations Models -- References -- Index.
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Open Access
520 ## - SUMMARY, ETC.
Summary, etc The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical models.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics—Data processing.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer simulation.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential Equations.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Modeling and Industrial Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computational Science and Engineering.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer Modelling.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Pedersen, Geir K.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer Nature eBook
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319327259
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783319327273
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Simula SpringerBriefs on Computing,
-- 2512-1685 ;
Volume number/sequential designation 2
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-3-319-32726-6">https://doi.org/10.1007/978-3-319-32726-6</a>
912 ## -
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-- ZDB-2-SOB

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