國立虎尾科技大學 |

Retarded Potentials and Time Domain Boundary Integral Equations = A Road Map /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Retarded Potentials and Time Domain Boundary Integral Equations/ by Francisco-Javier Sayas.
其他題名:	A Road Map /
作者:	Sayas, Francisco-Javier.
面頁冊數:	XV, 242 p. 8 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Integral equations. -
電子資源:	https://doi.org/10.1007/978-3-319-26645-9
ISBN:	9783319266459

Retarded Potentials and Time Domain Boundary Integral Equations = A Road Map /
Sayas, Francisco-Javier.

Retarded Potentials and Time Domain Boundary Integral EquationsA Road Map /[electronic resource] :by Francisco-Javier Sayas. - 1st ed. 2016. - XV, 242 p. 8 illus., 2 illus. in color.online resource. - Springer Series in Computational Mathematics,500179-3632 ;. - Springer Series in Computational Mathematics,48.

The retarted layer potentials -- From time domain to Laplace domain -- From Laplace domain to time domain -- Convulution Quadrature -- The Discrete layer potentials -- A General Class of Second Order Differential Equations.- Time domain analysis of the single layer potential.- Time domain analysis of the double layer potential.- Full discretization revisited -- Patterns, Extensions, and Conclusions -- Appendices.

This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.

ISBN: 9783319266459

Standard No.: 10.1007/978-3-319-26645-9doiSubjects--Topical Terms:

527971
Integral equations.

LC Class. No.: QA431

Dewey Class. No.: 515.45

Retarded Potentials and Time Domain Boundary Integral Equations = A Road Map /
LDR:02913nam a22004095i 4500 001 972428
003 DE-He213
005 20200630031709.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319266459 $9 978-3-319-26645-9
024 7 $a 10.1007/978-3-319-26645-9 $2 doi
035 $a 978-3-319-26645-9
050 4 $a QA431
072 7 $a PBKL $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKL $2 thema
082 0 4 $a 515.45 $2 23
100 1 $a Sayas, Francisco-Javier. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1108175
245 1 0 $a Retarded Potentials and Time Domain Boundary Integral Equations $h [electronic resource] : $b A Road Map / $c by Francisco-Javier Sayas.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XV, 242 p. 8 illus., 2 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Series in Computational Mathematics, $x 0179-3632 ; $v 50
505 0 $a The retarted layer potentials -- From time domain to Laplace domain -- From Laplace domain to time domain -- Convulution Quadrature -- The Discrete layer potentials -- A General Class of Second Order Differential Equations.- Time domain analysis of the single layer potential.- Time domain analysis of the double layer potential.- Full discretization revisited -- Patterns, Extensions, and Conclusions -- Appendices.
520 $a This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.
650 0 $a Integral equations. $3 527971
650 0 $a Partial differential equations. $3 1102982
650 0 $a Computer mathematics. $3 1199796
650 1 4 $a Integral Equations. $3 672359
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 669338
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319266435
776 0 8 $i Printed edition: $z 9783319266442
776 0 8 $i Printed edition: $z 9783319799865
830 0 $a Springer Series in Computational Mathematics, $x 0179-3632 ; $v 48 $3 1258881
856 4 0 $u https://doi.org/10.1007/978-3-319-26645-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)