Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Essential partial differential equat...
~
SpringerLink (Online service)
Essential partial differential equations = analytical and computational aspects /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Essential partial differential equations/ by David F. Griffiths, John W. Dold, David J. Silvester.
Reminder of title:
analytical and computational aspects /
Author:
Griffiths, David F.
other author:
Silvester, David J.
Published:
Cham :Imprint: Springer, : 2015.,
Description:
xi, 368 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Computational Mathematics and Numerical Analysis. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-22569-2
ISBN:
9783319225692
Essential partial differential equations = analytical and computational aspects /
Griffiths, David F.
Essential partial differential equations
analytical and computational aspects /[electronic resource] :by David F. Griffiths, John W. Dold, David J. Silvester. - Cham :Imprint: Springer,2015. - xi, 368 p. :ill. (some col.), digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..
Setting the scene -- Boundary and initial data -- The origin of PDEs -- Classification of PDEs -- Boundary value problems in R1 -- Finite difference methods in R1 -- Maximum principles and energy methods -- Separation of variables -- The method of characteristics -- Finite difference methods for elliptic PDEs -- Finite difference methods for parabolic PDEs -- Finite difference methods for hyperbolic PDEs -- Projects.
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs) It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection-diffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific an d engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.
ISBN: 9783319225692
Standard No.: 10.1007/978-3-319-22569-2doiSubjects--Topical Terms:
669338
Computational Mathematics and Numerical Analysis.
LC Class. No.: QA374
Dewey Class. No.: 515.353
Essential partial differential equations = analytical and computational aspects /
LDR
:03127nam a2200325 a 4500
001
838630
003
DE-He213
005
20160414135015.0
006
m d
007
cr nn 008maaau
008
160616s2015 gw s 0 eng d
020
$a
9783319225692
$q
(electronic bk.)
020
$a
9783319225685
$q
(paper)
024
7
$a
10.1007/978-3-319-22569-2
$2
doi
035
$a
978-3-319-22569-2
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA374
072
7
$a
PBKJ
$2
bicssc
072
7
$a
MAT007000
$2
bisacsh
082
0 4
$a
515.353
$2
23
090
$a
QA374
$b
.G855 2015
100
1
$a
Griffiths, David F.
$3
1069887
245
1 0
$a
Essential partial differential equations
$h
[electronic resource] :
$b
analytical and computational aspects /
$c
by David F. Griffiths, John W. Dold, David J. Silvester.
260
$a
Cham :
$c
2015.
$b
Imprint: Springer,
$b
Springer International Publishing :
300
$a
xi, 368 p. :
$b
ill. (some col.), digital ;
$c
24 cm.
490
1
$a
Springer undergraduate mathematics series,
$x
1615-2085
505
0
$a
Setting the scene -- Boundary and initial data -- The origin of PDEs -- Classification of PDEs -- Boundary value problems in R1 -- Finite difference methods in R1 -- Maximum principles and energy methods -- Separation of variables -- The method of characteristics -- Finite difference methods for elliptic PDEs -- Finite difference methods for parabolic PDEs -- Finite difference methods for hyperbolic PDEs -- Projects.
520
$a
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs) It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection-diffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific an d engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.
650
2 4
$a
Computational Mathematics and Numerical Analysis.
$3
669338
650
2 4
$a
Mathematical Applications in the Physical Sciences.
$3
786649
650
2 4
$a
Partial Differential Equations.
$3
671119
650
1 4
$a
Mathematics.
$3
527692
650
0
$a
Differential equations, Partial
$x
Numerical solutions.
$3
527938
650
0
$a
Differential equations, Partial.
$3
527784
700
1
$a
Silvester, David J.
$3
1069889
700
1
$a
Dold, John W.
$3
1069888
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Springer undergraduate mathematics series.
$3
839247
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-22569-2
950
$a
Mathematics and Statistics (Springer-11649)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login