Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Multistep-Galerkin methods for hyperbolic equations


Author: Vassilios A. Dougalis
Journal: Math. Comp. 33 (1979), 563-584
MSC: Primary 65M10; Secondary 65M15, 65N30
DOI: https://doi.org/10.1090/S0025-5718-1979-0521277-5
MathSciNet review: 521277
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Multistep methods for first- and second-order ordinary differential equations are used for the full discretizations of standard Galerkin approximations to the initial-periodic boundary value problem for first-order linear hyperbolic equations in one space dimension and to the initial-boundary value problem for second-order linear selfadjoint hyperbolic equations in many space dimensions. $ {L^2}$-error bounds of optimal order in space and time are achieved for large classes of such multistep methods.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65M10, 65M15, 65N30

Retrieve articles in all journals with MSC: 65M10, 65M15, 65N30


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1979-0521277-5
Article copyright: © Copyright 1979 American Mathematical Society

American Mathematical Society