Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations
dc.contributor.author | Boyd, John P. | en_US |
dc.date.accessioned | 2006-09-11T15:31:58Z | |
dc.date.available | 2006-09-11T15:31:58Z | |
dc.date.issued | 1994-03 | en_US |
dc.identifier.citation | Boyd, John P.; (1994). "Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations." Journal of Scientific Computing 9(1): 81-106. <http://hdl.handle.net/2027.42/44986> | en_US |
dc.identifier.issn | 1573-7691 | en_US |
dc.identifier.issn | 0885-7474 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/44986 | |
dc.description.abstract | We solve two problems of x ∈[−∞, ∞] for arbitrary order j . The first is to compute shock-like solutions to the hyperdiffusion equation, u 1=(−1) j +1 u 2j,x . The second is to compute similar solutions to the stationary form of the hyper-Burgers equation, (−1) j u 2j.x + uu x =0; these tanh-like solutions are asymptotic approximations to the shocks of the corresponding time dependent equation. We solve the hyperdiffusion equation with a Fourier integral and the method of steepest descents. The hyper Burgers equation is solved by a Fourier pseudospectral method with a polynomial subtraction. | en_US |
dc.format.extent | 1113006 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers; Plenum Publishing Corporation ; Springer Science+Business Media | en_US |
dc.subject.other | Hyperviscous | en_US |
dc.subject.other | Diffusion | en_US |
dc.subject.other | Computational Mathematics and Numerical Analysis | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Algorithms | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Appl.Mathematics/Computational Methods of Engineering | en_US |
dc.subject.other | Shocks | en_US |
dc.subject.other | Shock Capturing | en_US |
dc.title | Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Science (General) | en_US |
dc.subject.hlbsecondlevel | Education | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.subject.hlbtoplevel | Social Sciences | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Atmospheric, Oceanic and Space Science, University of Michigan, 2455 Hayward Avenue, 48109, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/44986/1/10915_2005_Article_BF01573179.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01573179 | en_US |
dc.identifier.source | Journal of Scientific Computing | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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