語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
到查詢結果
[ author_sort:"bartels, soren." ]
切換:
標籤
|
MARC模式
|
ISBD
Numerical methods for nonlinear part...
~
Bartels, Soren.
Numerical methods for nonlinear partial differential equations
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Numerical methods for nonlinear partial differential equationsby Soren Bartels.
作者:
Bartels, Soren.
出版者:
Cham :Springer International Publishing :2015.
面頁冊數:
x, 393 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
標題:
Numerical Analysis.
電子資源:
http://dx.doi.org/10.1007/978-3-319-13797-1
ISBN:
9783319137971 (electronic bk.)
Numerical methods for nonlinear partial differential equations
Bartels, Soren.
Numerical methods for nonlinear partial differential equations
[electronic resource] /by Soren Bartels. - Cham :Springer International Publishing :2015. - x, 393 p. :ill., digital ;24 cm. - Springer series in computational mathematics,v.470179-3632 ;. - Springer series in computational mathematics ;42..
1. Introduction -- Part I: Analytical and Numerical Foundations -- 2. Analytical Background -- 3. FEM for Linear Problems -- 4. Concepts for Discretized Problems -- Part II: Approximation of Classical Formulations -- 5. The Obstacle Problem -- 6. The Allen-Cahn Equation -- 7. Harmonic Maps -- 8. Bending Problems -- Part III: Methods for Extended Formulations -- 9. Nonconvexity and Microstructure -- 10. Free Discontinuities -- 11. Elastoplasticity -- Auxiliary Routines -- Frequently Used Notation -- Index.
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.
ISBN: 9783319137971 (electronic bk.)
Standard No.: 10.1007/978-3-319-13797-1doiSubjects--Topical Terms:
275681
Numerical Analysis.
LC Class. No.: QA377
Dewey Class. No.: 515.353
Numerical methods for nonlinear partial differential equations
LDR
:02414nmm a2200337 a 4500
001
461578
003
DE-He213
005
20150903133057.0
006
m d
007
cr nn 008maaau
008
151110s2015 gw s 0 eng d
020
$a
9783319137971 (electronic bk.)
020
$a
9783319137964 (paper)
024
7
$a
10.1007/978-3-319-13797-1
$2
doi
035
$a
978-3-319-13797-1
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA377
072
7
$a
PBKS
$2
bicssc
072
7
$a
MAT021000
$2
bisacsh
072
7
$a
MAT006000
$2
bisacsh
082
0 4
$a
515.353
$2
23
090
$a
QA377
$b
.B283 2015
100
1
$a
Bartels, Soren.
$3
713762
245
1 0
$a
Numerical methods for nonlinear partial differential equations
$h
[electronic resource] /
$c
by Soren Bartels.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2015.
300
$a
x, 393 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Springer series in computational mathematics,
$x
0179-3632 ;
$v
v.47
505
0
$a
1. Introduction -- Part I: Analytical and Numerical Foundations -- 2. Analytical Background -- 3. FEM for Linear Problems -- 4. Concepts for Discretized Problems -- Part II: Approximation of Classical Formulations -- 5. The Obstacle Problem -- 6. The Allen-Cahn Equation -- 7. Harmonic Maps -- 8. Bending Problems -- Part III: Methods for Extended Formulations -- 9. Nonconvexity and Microstructure -- 10. Free Discontinuities -- 11. Elastoplasticity -- Auxiliary Routines -- Frequently Used Notation -- Index.
520
$a
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.
650
2 4
$a
Numerical Analysis.
$3
275681
650
2 4
$a
Partial Differential Equations.
$3
274075
650
2 4
$a
Algorithms.
$3
184661
650
2 4
$a
Calculus of Variations and Optimal Control; Optimization.
$3
274198
650
0
$a
Differential equations, Partial
$x
Numerical solutions.
$3
185034
650
0
$a
Differential equations, Nonlinear.
$3
185178
650
0
$a
Numerical analysis.
$3
182073
650
1 4
$a
Mathematics.
$3
184409
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer eBooks
830
0
$a
Springer series in computational mathematics ;
$v
42.
$3
560664
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-13797-1
950
$a
Mathematics and Statistics (Springer-11649)
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000111085
電子館藏
1圖書
電子書
EB QA377 B283 2015
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
http://dx.doi.org/10.1007/978-3-319-13797-1
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入