FINITE ELEMENT APPROXIMATION OF AN INTEGRO-DIFFERENTIAL OPERATOR

doi:10.1016/S0252-9602(10)60016-1

Abstract

Abstract:

This paper deals with the finite element approximation of an integro-differential equation related with Riemann zeta-function.

Key words: finite element, integro-differential operator, Riemann zeta-function

CLC Number:

47G20

Cite this article

Ding Xia-qi, Luo Pei-zhu. FINITE ELEMENT APPROXIMATION OF AN INTEGRO-DIFFERENTIAL OPERATOR[J].Acta mathematica scientia,Series B, 2009, 29(6): 1767-1776.

share this article

0
/ / Recommend

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(10)60016-1

http://121.43.60.238/sxwlxbB/EN/Y2009/V29/I6/1767

Trendmd

References

[1] Ding Xiaqi, Luo Peizhu. On Ritz method of an integro-differential equation. to appear

Related Articles 15

[1]	Fethi BEN BELGACEM. OPTIMIZATION APPROACH FOR THE MONGE-AMPÈRE EQUATION [J]. Acta mathematica scientia,Series B, 2018, 38(4): 1285-1295.
[2]	Huoyuan DUAN, Junhua MA. CONTINUOUS FINITE ELEMENT METHODS FOR REISSNER-MINDLIN PLATE PROBLEM [J]. Acta mathematica scientia,Series B, 2018, 38(2): 450-470.
[3]	Guangzhi DU, Liyun ZUO. LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS [J]. Acta mathematica scientia,Series B, 2017, 37(5): 1331-1347.
[4]	Zhendong LUO. A STABILIZED MIXED FINITE ELEMENT FORMULATION FOR THE NON-STATIONARY INCOMPRESSIBLE BOUSSINESQ EQUATIONS [J]. Acta mathematica scientia,Series B, 2016, 36(2): 385-393.
[5]	Xinlong FENG, Yinnian HE. CONVERGENCE OF THE CRANK-NICOLSON/NEWTON SCHEME FOR NONLINEAR PARABOLIC PROBLEM [J]. Acta mathematica scientia,Series B, 2016, 36(1): 124-138.
[6]	WEN Juan, HE Yin-Nian, WANG Xue-Min, HE Mi-Hui. TWO-LEVEL MULTISCALE FINITE ELEMENT METHODS FOR THE STEADY NAVIER-STOKES PROBLEM [J]. Acta mathematica scientia,Series B, 2014, 34(3): 960-972.
[7]	LUO Zhen-Dong, LI Lei, SUN Ping. A REDUCED-ORDER MFE FORMULATION BASED ON POD METHOD FOR PARABOLIC EQUATIONS [J]. Acta mathematica scientia,Series B, 2013, 33(5): 1471-1484.
[8]	ZHAO Ji-Kun, CHEN Shao-Chun. EXPLICIT ERROR ESTIMATE FOR THE NONCONFORMING WILSON´S ELEMENT [J]. Acta mathematica scientia,Series B, 2013, 33(3): 839-846.
[9]	LUO Zhen-Dong, OU Qiu-Lan, WU Jia-Rong, XIE Zheng-Hui. A REDUCED FE FORMULATION BASED ON POD METHOD FOR HYPERBOLIC EQUATIONS [J]. Acta mathematica scientia,Series B, 2012, 32(5): 1997-2009.
[10]	Xiaqi Ding. ESTIMATES ON THE FINITE ELEMENT APPROXIMATIONS OF A QUADRATIC FUNCTIONAL [J]. Acta mathematica scientia,Series B, 2012, 32(1): 209-218.
[11]	LUO Zhen-Dong, XIE Zheng-Hui, CHEN Jing. A REDUCED MFE FORMULATION BASED ON POD FOR THE NON-STATIONARY CONDUCTION-CONVECTION PROBLEMS [J]. Acta mathematica scientia,Series B, 2011, 31(5): 1765-1785.
[12]	LI Ming-Xia, CHEN Hong-Tao, MAO Shi-Peng. ACCURACY ENHANCEMENT FOR THE SIGNORINI PROBLEM WITH FINITE ELEMENT METHOD [J]. Acta mathematica scientia,Series B, 2011, 31(3): 897-908.
[13]	CHEN Shao-Chun, ZHENG Yan-Jun, MAO Shi-Peng. NEW SECOND ORDER NONCONFORMING TRIANGULAR ELEMENT FOR PLANAR ELASTICITY PROBLEMS [J]. Acta mathematica scientia,Series B, 2011, 31(3): 815-825.
[14]	ZHU Peng, XIE Zi-Qing, ZHOU Shu-Zi. A COUPLED CONTINUOUS-DISCONTINUOUS FEM APPROACH FOR CONVECTION DIFFUSION EQUATIONS [J]. Acta mathematica scientia,Series B, 2011, 31(2): 601-612.
[15]	SHI Dong-Yang, REN Jin-Cheng, GONG Wei. A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS [J]. Acta mathematica scientia,Series B, 2011, 31(2): 367-382.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	Li Bo; Liu Luqin. AN ESTIMATE ON THE DISTRIBUTION AND MOMENTS OF THE LAST EXIT TIME OF AN ELLIPTIC DIFFUSION PROCESS[J]. Acta mathematica scientia,Series B, 2006, 26(4): 639 -645 .
[2]	Feng Qiuxiang; Yuan Rong. ON THE LASOTA-WAZEWSKA MODEL WITH PIECEWISE CONSTANT ARGUMENT[J]. Acta mathematica scientia,Series B, 2006, 26(2): 371 -378 .
[3]	Ma Shixia; Xing Yongsheng. THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS[J]. Acta mathematica scientia,Series B, 2006, 26(4): 603 -609 .
[4]	Wang Dingcheng; Su Chun. A NOTE ON ASYMPTOTIC BEHAVIOR FOR NEGATIVE DRIFT RANDOM WALK WITH DEPENDENT HEAVY-TAILED STEPS AND ITS APPLICATION TO RISK THEORY[J]. Acta mathematica scientia,Series B, 2007, 27(1): 11 -24 .
[5]	Zhong Tongde; Chen Luping. THE PERMUTATION FORMULA OF SINGULAR INTEGRALS WITH BOCHNER-MARTINELLI KERNEL ON STEIN MANIFOLDS[J]. Acta mathematica scientia,Series B, 2006, 26(4): 679 -690 .
[6]	Li Mengrong. BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u''=\|u\|^p[J]. Acta mathematica scientia,Series B, 2007, 27(4): 703 -734 .
[7]	Abdellah Bnouhachem; Mohamed Khalfaoui; Hafida Benazza. A NEW SELF-ADAPTIVE ITERATIVE METHOD FOR GENERAL MIXED QUASI #br# VARIATIONAL INEQUALITIES[J]. Acta mathematica scientia,Series B, 2008, 28(3): 685 -696 .
[8]	Huo Yingying; Sun Daochun. ALGEBROIDAL FUNCTION AND ITS DERIVED #br# FUNCTION IN UNIT CIRCULAR DISC[J]. Acta mathematica scientia,Series B, 2009, 29(1): 129 -139 .
[9]	Tu Zhenhan; Cao Hongzhe. NORMAL CRITERION FOR FAMILIES OF HOLOMORPHIC MAPS OF SEVERAL COMPLEX VARIABLES INTO PN(C) WITH MOVING HYPERSURFACES[J]. Acta mathematica scientia,Series B, 2009, 29(1): 169 -175 .
[10]	DUAN Hua-Gui, LONG Si-Meng. MORSE CONCAVITY FOR CLOSED GEODESICS[J]. Acta mathematica scientia,Series B, 2009, 29(3): 731 -750 .

Abstract
References
Related Articles
Metrics
Comments
Recommended

TOP