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 $(2m1)$ 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):
 LLNLJRNL746059
Journal ID: ISSN 10648275; 930652
 Grant/Contract Number:
 AC5207NA27344; DMS1319054; DMS1418871
 Resource Type:
 Accepted Manuscript
 Journal Name:
 SIAM Journal on Scientific Computing
 Additional Journal Information:
 Journal Volume: 40; Journal Issue: 6; Journal ID: ISSN 10648275
 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. https://doi.org/10.1137/18M1171072
Appelö, Daniel, Hagstrom, Thomas, and Vargas, Arturo. Tue .
"Hermite Methods for the Scalar Wave Equation". United States. https://doi.org/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 $(2m1)$ 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}
}
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Works referenced in this record:
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 Appelö, Daniel; Hagstrom, Thomas
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Works referencing / citing this record:
Leapfrog TimeStepping for Hermite Methods
journal, March 2019
 Vargas, Arturo; Hagstrom, Thomas; Chan, Jesse
 Journal of Scientific Computing, Vol. 80, Issue 1