Classical Numerical Methods in Scientific Computing
Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existin...
Saved in:
VerfasserIn: | |
---|---|
TeilnehmendeR: | |
Place / Publishing House: | [Place of publication not identified] : TU Delft Open, 2023. ©2023. |
Year of Publication: | 2023 |
Language: | English |
Physical Description: | 1 online resource |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
993634644504498 |
---|---|
ctrlnum |
(CKB)5720000000250986 (MnU)OTLid0001496 (EXLCZ)995720000000250986 |
collection |
bib_alma |
record_format |
marc |
spelling |
van Kan, Jos author Classical Numerical Methods in Scientific Computing [Place of publication not identified] TU Delft Open 2023. ©2023. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Description based on print resource Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existing maximum principles. The main topic of the book entails the description of classical numerical methods that are used to approximate the solution of partial differential equations. The focus is on discretization methods such as the finite difference, finite volume and finite element method. The manuscript also makes a short excursion to the solution of large sets of (non)linear algebraic equations that result after application of discretization method to partial differential equations. The book treats the construction of such discretization methods, as well as some error analysis, where it is noted that the error analysis for the finite element method is merely descriptive, rather than rigorous from a mathematical point of view. The last chapters focus on time integration issues for classical time-dependent partial differential equations. After reading the book, the reader should be able to derive finite element methods, to implement the methods and to judge whether the obtained approximations are consistent with the solution to the partial differential equations. The reader will also obtain these skills for the other classical discretization methods. Acquiring such fundamental knowledge will allow the reader to continue studying more advanced methods like meshfree methods, discontinuous Galerkin methods and spectral methods for the approximation of solutions to partial differential equations. In English. Review of some basic mathematical concepts -- A crash course in PDEs -- Finite difference methods -- Finite volume methods -- Non-linear equations -- The heat- or diffusion equation -- The wave equation Mathematics Textbooks Applied mathematics Textbooks Segal, Guus author Vermolen, Fred author |
language |
English |
format |
eBook |
author |
van Kan, Jos Segal, Guus Vermolen, Fred |
spellingShingle |
van Kan, Jos Segal, Guus Vermolen, Fred Classical Numerical Methods in Scientific Computing Review of some basic mathematical concepts -- A crash course in PDEs -- Finite difference methods -- Finite volume methods -- Non-linear equations -- The heat- or diffusion equation -- The wave equation |
author_facet |
van Kan, Jos Segal, Guus Vermolen, Fred Segal, Guus Vermolen, Fred |
author_variant |
k j v kj kjv g s gs f v fv |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Segal, Guus Vermolen, Fred |
author2_role |
TeilnehmendeR TeilnehmendeR |
author_sort |
van Kan, Jos |
title |
Classical Numerical Methods in Scientific Computing |
title_full |
Classical Numerical Methods in Scientific Computing |
title_fullStr |
Classical Numerical Methods in Scientific Computing |
title_full_unstemmed |
Classical Numerical Methods in Scientific Computing |
title_auth |
Classical Numerical Methods in Scientific Computing |
title_new |
Classical Numerical Methods in Scientific Computing |
title_sort |
classical numerical methods in scientific computing |
publisher |
TU Delft Open |
publishDate |
2023 |
physical |
1 online resource |
contents |
Review of some basic mathematical concepts -- A crash course in PDEs -- Finite difference methods -- Finite volume methods -- Non-linear equations -- The heat- or diffusion equation -- The wave equation |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA1 |
callnumber-sort |
QA 11 |
genre_facet |
Textbooks |
illustrated |
Not Illustrated |
work_keys_str_mv |
AT vankanjos classicalnumericalmethodsinscientificcomputing AT segalguus classicalnumericalmethodsinscientificcomputing AT vermolenfred classicalnumericalmethodsinscientificcomputing |
status_str |
n |
ids_txt_mv |
(CKB)5720000000250986 (MnU)OTLid0001496 (EXLCZ)995720000000250986 |
carrierType_str_mv |
cr |
is_hierarchy_title |
Classical Numerical Methods in Scientific Computing |
author2_original_writing_str_mv |
noLinkedField noLinkedField |
_version_ |
1796653719414112257 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03141nam a2200397 i 4500</leader><controlfield tag="001">993634644504498</controlfield><controlfield tag="005">20231009142837.0</controlfield><controlfield tag="006">m o d s </controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230928s2023 mnu o 0|| 0 eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(CKB)5720000000250986</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(MnU)OTLid0001496</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(EXLCZ)995720000000250986</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">MnU</subfield><subfield code="b">eng</subfield><subfield code="c">MnU</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA1</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA37.3</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">van Kan, Jos</subfield><subfield code="e">author</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Classical Numerical Methods in Scientific Computing</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">[Place of publication not identified]</subfield><subfield code="b">TU Delft Open</subfield><subfield code="c">2023.</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2023.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on print resource</subfield></datafield><datafield tag="520" ind1="0" ind2=" "><subfield code="a">Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existing maximum principles. The main topic of the book entails the description of classical numerical methods that are used to approximate the solution of partial differential equations. The focus is on discretization methods such as the finite difference, finite volume and finite element method. The manuscript also makes a short excursion to the solution of large sets of (non)linear algebraic equations that result after application of discretization method to partial differential equations. The book treats the construction of such discretization methods, as well as some error analysis, where it is noted that the error analysis for the finite element method is merely descriptive, rather than rigorous from a mathematical point of view. The last chapters focus on time integration issues for classical time-dependent partial differential equations. After reading the book, the reader should be able to derive finite element methods, to implement the methods and to judge whether the obtained approximations are consistent with the solution to the partial differential equations. The reader will also obtain these skills for the other classical discretization methods. Acquiring such fundamental knowledge will allow the reader to continue studying more advanced methods like meshfree methods, discontinuous Galerkin methods and spectral methods for the approximation of solutions to partial differential equations.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Review of some basic mathematical concepts -- A crash course in PDEs -- Finite difference methods -- Finite volume methods -- Non-linear equations -- The heat- or diffusion equation -- The wave equation</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics</subfield><subfield code="v">Textbooks</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Applied mathematics</subfield><subfield code="v">Textbooks</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Segal, Guus</subfield><subfield code="e">author</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vermolen, Fred</subfield><subfield code="e">author</subfield></datafield><datafield tag="906" ind1=" " ind2=" "><subfield code="a">BOOK</subfield></datafield><datafield tag="ADM" ind1=" " ind2=" "><subfield code="b">2023-11-27 03:26:40 Europe/Vienna</subfield><subfield code="f">System</subfield><subfield code="c">marc21</subfield><subfield code="a">2023-09-30 21:31:28 Europe/Vienna</subfield><subfield code="g">false</subfield></datafield><datafield tag="AVE" ind1=" " ind2=" "><subfield code="i">DOAB Directory of Open Access Books</subfield><subfield code="P">DOAB Directory of Open Access Books</subfield><subfield code="x">https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5351631430004498&Force_direct=true</subfield><subfield code="Z">5351631430004498</subfield><subfield code="b">Available</subfield><subfield code="8">5351631430004498</subfield></datafield></record></collection> |