Mechanical quadrature methods and extrapolation for solving nonlinear boundary H

排行榜 收藏 打印 发给朋友 举报 来源: 《Applied Mathematics and Mechanics》 发布者:cjk3d
热度30票 浏览17次 【共0条评论】【我要评论 时间:2012年4月25日 20:36

Or?:`V|$IT/f0Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations水利论文,[zkTz2\'k

水利论文QhR8D6ZF2S c!bC

Abstract:This paper presents mechanical quadrature methods (MQMs) for solving nonlinear boundary Helmholtz integral equations.The methods have high accuracy of order O(h3) and low computation complexity.Moreover,the mechanical quadrature methods are simple without computing any singular integration.A nonlinear system is constructed by discretizing the nonlinear boundary integral equations.The stability and convergence of the system are proved based on an asymptotical compact theory and the Stepleman theorem.Using the h3-Richardson extrapolation algorithms (EAs),the accuracy to the order of O(h5) is improved.To slove the nonlinear system,the Newton iteration is discussed extensively by using the Ostrowski fixed point theorem.The efficiency of the algorithms is illustrated by numerical examples.

KU/E-I8v}(D0 水利论文\I zn"@'H J

作者:水利论文}f/cp&m`\x

水利论文 ]MMn^$C3fv

程攀[1]黄晋[2]王柱[3]水利论文Q oVz/[

水利论文!IG1q%P6QE%D0B p

Author:水利论文*wf@ Iu(hW2@L

水利论文5Eb([7E/@A(t0ii

Pan CHENG[1] Jin HUANG[2] Zhu WANG[3]水利论文p5`(t,TFq$BF6y

水利论文&cAy/B Rl Ts

作者单位:水利论文GH1yB0Oy.^

1l0yF U!D({ v+K P0School of Science, Chongqing Jiaotong University, Chongqing 400074, P. R. ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China,Chengdu 611731, P. R. ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China,Chengdu 611731, P. R. China;Department of Mathematics, Virginia Polytechnic Institute and State University,Blacksburg, VA 24061, USA水利论文8y z9c/^/a

水利论文({o]P-sRm6y&E

期 刊:

&mno%G~4~0 水利论文 xxG\a6g

应用数学和力学(英文版)

TDL&wFQT|'o0

"c@.[ ISe z0qg/~0Journal:

;E_k+U,k!j-v0 水利论文v z YV/F2uAUtX

Applied Mathematics and Mechanics

ysv!kkn0

a)S$~&N!t]0年,卷(期):

$Py v`*H0 水利论文$h.t/^Zr EPV2i {

2011, 32(12)

Gf+VR |$yLN0

h*o*H;~0k!{H0分类号:

+s{*@9f.l`k0

k*XVi)A)c0O24 O39水利论文{ c?5a9w~ysZ b

水利论文%QZ,O/aC

Keywords:水利论文z9sA t/~ UC

0@Y,n)aDso+m0Helmholtz equation水利论文ab7jJ2]B

&C,V \t3Bv[|/H0mechanical quadrature method水利论文#T(DA)Wy!t4c!`

"}3g.zb]!a0Newton iteration

j&] C"A+F0 水利论文x[a7U!`\l1z:o!e n

nonlinear boundary condition水利论文;kb'z&^Es(f;]1u8D,\s

] m)US@L0机标分类号:水利论文QkRo? O@

EnD`*g~ h s0O1 O24

N[z,ePs\WP0

B:|'|;\}Y^ m0机标关键词:水利论文 SB(v%v;~2}u

水利论文:?;`WJ,n2reix0A

integral equations Helmholtz nonlinear boundary nonlinear system stability and convergence algorithms Newton iteration high accuracy fixed point order presents theory simple paper based EAs水利论文4ws;Y/gTP B

水利论文,e@|igh

基金项目:

-]f^Q2K0 水利论文Bt5ZU G2B+XR'Ce

the National Natural Science Foundation of China,the Natural Science Foundation Project of Chongqing,the Air Force Office of Scientific Research,the National Science Foundation水利论文mCf&P%jL/Hf

水利论文#J B@r3j

返回顶部互动百科相关词

CdV&x&|M9_{RZ0
顶:4 踩:3
【已经有23人表态】
3票
极差
2票
很差
4票
较差
1票
稍差
3票
稍好
3票
较好
4票
很好
3票
极好
下一篇:Momentum equation for straight electrically charged jet
上一篇:Similarity research of anomalous dynamic response of ship girder subjected to ne
查看全部回复【已有0位网友发表了看法】

广告投放

广告投放