skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Hermite Methods for the Scalar Wave Equation

Abstract

Arbitrary order dissipative and conservative Hermite methods for the scalar wave equation are presented here. Both methods use $(m+1)^d$ degrees of freedom per node for the displacement in $d$ dimensions; the dissipative and conservative methods achieve orders of accuracy $(2m-1)$ and $2m$, respectively. Stability and error analyses as well as implementation strategies for accelerators are also given.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Univ. of Colorado, Boulder, CO (United States). Dept. of Applied Mathematics
  2. Southern Methodist Univ., Dallas, TX (United States). Dept. of Mathematics
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Colorado, Boulder, CO (United States); Southern Methodist Univ., Dallas, TX (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
OSTI Identifier:
1497298
Report Number(s):
LLNL-JRNL-746059
Journal ID: ISSN 1064-8275; 930652
Grant/Contract Number:  
AC52-07NA27344; DMS-1319054; DMS-1418871
Resource Type:
Accepted Manuscript
Journal Name:
SIAM Journal on Scientific Computing
Additional Journal Information:
Journal Volume: 40; Journal Issue: 6; Journal ID: ISSN 1064-8275
Publisher:
SIAM
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; wave equation; Hermite methods

Citation Formats

Appelö, Daniel, Hagstrom, Thomas, and Vargas, Arturo. Hermite Methods for the Scalar Wave Equation. United States: N. p., 2018. Web. doi:10.1137/18M1171072.
Appelö, Daniel, Hagstrom, Thomas, & Vargas, Arturo. Hermite Methods for the Scalar Wave Equation. United States. doi:10.1137/18M1171072.
Appelö, Daniel, Hagstrom, Thomas, and Vargas, Arturo. Tue . "Hermite Methods for the Scalar Wave Equation". United States. doi:10.1137/18M1171072. https://www.osti.gov/servlets/purl/1497298.
@article{osti_1497298,
title = {Hermite Methods for the Scalar Wave Equation},
author = {Appelö, Daniel and Hagstrom, Thomas and Vargas, Arturo},
abstractNote = {Arbitrary order dissipative and conservative Hermite methods for the scalar wave equation are presented here. Both methods use $(m+1)^d$ degrees of freedom per node for the displacement in $d$ dimensions; the dissipative and conservative methods achieve orders of accuracy $(2m-1)$ and $2m$, respectively. Stability and error analyses as well as implementation strategies for accelerators are also given.},
doi = {10.1137/18M1171072},
journal = {SIAM Journal on Scientific Computing},
number = 6,
volume = 40,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share: