Galerkin methods and L2-error estimates for hyperbolic integro-differential equations

J. R. Cannon; Yanping Lin; Chong Yuan Xie

doi:10.1007/BF02575729

Galerkin methods and L²-error estimates for hyperbolic integro-differential equations

J. R. Cannon
, Yanping Lin
, Chong Yuan Xie

Research output: Journal article publication › Journal article › Academic research › peer-review

15 Citations (Scopus)

Abstract

In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a "non-classical" elliptic projection.

Original language	English
Pages (from-to)	197-207
Number of pages	11
Journal	Calcolo
Volume	26
Issue number	2-4
DOIs	https://doi.org/10.1007/BF02575729
Publication status	Published - 1 Jun 1989
Externally published	Yes

Keywords

AMS(MOS) subject classification: 65J10, 65N30
Error estimate
Galerkin method
hyperbolic
non-classical H projection 1

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics

More information

10.1007/BF02575729

Cite this

@article{4308ac9042f947c1a25ed9106d65a933,

title = "Galerkin methods and L2-error estimates for hyperbolic integro-differential equations",

abstract = "In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a {"}non-classical{"} elliptic projection.",

keywords = "AMS(MOS) subject classification: 65J10, 65N30, Error estimate, Galerkin method, hyperbolic, non-classical H projection 1",

author = "Cannon, \{J. R.\} and Yanping Lin and Xie, \{Chong Yuan\}",

year = "1989",

month = jun,

day = "1",

doi = "10.1007/BF02575729",

language = "English",

volume = "26",

pages = "197--207",

journal = "Calcolo",

issn = "0008-0624",

publisher = "Springer-Verlag Italia s.r.l.",

number = "2-4",

}

TY - JOUR

T1 - Galerkin methods and L2-error estimates for hyperbolic integro-differential equations

AU - Cannon, J. R.

AU - Lin, Yanping

AU - Xie, Chong Yuan

PY - 1989/6/1

Y1 - 1989/6/1

N2 - In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a "non-classical" elliptic projection.

AB - In this paper we shall study Galerkin approximations to the solution of linear second-order hyperbolic integro-differential equations. The continuous and Crank-Nicolson discrete time Galerkin procedures will be defined and optimal error estimates for these procedures are demonstrated by using a "non-classical" elliptic projection.

KW - AMS(MOS) subject classification: 65J10, 65N30

KW - Error estimate

KW - Galerkin method

KW - hyperbolic

KW - non-classical H projection 1

UR - https://www.scopus.com/pages/publications/51249174537

U2 - 10.1007/BF02575729

DO - 10.1007/BF02575729

M3 - Journal article

SN - 0008-0624

VL - 26

SP - 197

EP - 207

JO - Calcolo

JF - Calcolo

IS - 2-4

ER -