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:
-
- Univ. of Colorado, Boulder, CO (United States). Dept. of Applied Mathematics
- Southern Methodist Univ., Dallas, TX (United States). Dept. of Mathematics
- 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}
}
Other availability
Cited by: 3 works
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Works referencing / citing this record:
Leapfrog Time-Stepping for Hermite Methods
journal, March 2019
- Vargas, Arturo; Hagstrom, Thomas; Chan, Jesse
- Journal of Scientific Computing, Vol. 80, Issue 1