國立虎尾科技大學 |

Interfaces = modeling, analysis, numerics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Interfaces/ by Eberhard Bansch ... [et al.].
其他題名:	modeling, analysis, numerics /
其他作者:	Bansch, Eberhard.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xii, 178 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Differential Equations. -
電子資源:	https://doi.org/10.1007/978-3-031-35550-9
ISBN:	9783031355509

Interfaces = modeling, analysis, numerics /
Interfacesmodeling, analysis, numerics /[electronic resource] :by Eberhard Bansch ... [et al.]. - Cham :Springer Nature Switzerland :2023. - xii, 178 p. :ill. (some col.), digital ;24 cm. - Oberwolfach seminars,v. 512296-5041 ;. - Oberwolfach seminars ;v.47..

1. Introduction -- 2. Some Notions from Differential Geometry -- 3. Modeling -- 4. Parametric Approaches for Geometric Evolution Equations and Interfaces -- 5. Implicit Approaches for Interfaces -- 6. Numerical Methods for Complex Interface Evolutions -- 7. Exercises.

These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization. We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions.

ISBN: 9783031355509

Standard No.: 10.1007/978-3-031-35550-9doiSubjects--Topical Terms:

681826
Differential Equations.

LC Class. No.: QA401

Dewey Class. No.: 511.8

Interfaces = modeling, analysis, numerics /
LDR:02206nam a2200337 a 4500 001 1117804
003 DE-He213
005 20231010161944.0
006 m d
007 cr nn 008maaau
008 240126s2023 sz s 0 eng d
020 $a 9783031355509 $q (electronic bk.)
020 $a 9783031355493 $q (paper)
024 7 $a 10.1007/978-3-031-35550-9 $2 doi
035 $a 978-3-031-35550-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA401
072 7 $a PBMP $2 bicssc
072 7 $a MAT012030 $2 bisacsh
072 7 $a PBMP $2 thema
082 0 4 $a 511.8 $2 23
090 $a QA401 $b .I61 2023
245 0 0 $a Interfaces $h [electronic resource] : $b modeling, analysis, numerics / $c by Eberhard Bansch ... [et al.].
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2023.
300 $a xii, 178 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Oberwolfach seminars, $x 2296-5041 ; $v v. 51
505 0 $a 1. Introduction -- 2. Some Notions from Differential Geometry -- 3. Modeling -- 4. Parametric Approaches for Geometric Evolution Equations and Interfaces -- 5. Implicit Approaches for Interfaces -- 6. Numerical Methods for Complex Interface Evolutions -- 7. Exercises.
520 $a These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization. We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions.
650 2 4 $a Differential Equations. $3 681826
650 1 4 $a Differential Geometry. $3 671118
650 0 $a Interfaces (Physical sciences) $x Mathematics. $3 528691
650 0 $a Boundary value problems. $3 528307
650 0 $a Geometry, Differential. $3 527830
650 0 $a Mathematical models. $3 527886
700 1 $a Bansch, Eberhard. $3 1431718
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Oberwolfach seminars ; $v v.47. $3 1172326
856 4 0 $u https://doi.org/10.1007/978-3-031-35550-9
950 $a Mathematics and Statistics (SpringerNature-11649)