Method of Lines Transpose: A Fast Implicit Wave Propagator

Matthew F. Causley; Andrew J. Christlieb; Yaman Guclu; ERIC WOLF

doi:1306.6902v1 [math.NA]

Method of Lines Transpose: A Fast Implicit Wave Propagator

Matthew F. Causley, Andrew J. Christlieb, Yaman Guclu, ERIC WOLF

Kettering University

Research output: Contribution to journal › Article › peer-review

Abstract

As a follow up to \cite{Causley2013}, we provide a detailed description of the numerical implementation of an O(N), A-stable, second order accurate solution of the wave equation, constructed from semi-discrete boundary value problems. We improve on the previous algorithm by replacing the Lax-type correction used in \cite{Causley2013}, which was necessary for convergence when Δt<Δx/c, with a more accurate spatial quadrature, which we prove is convergent.

Original language	American English
Journal	arXiv
DOIs	https://doi.org/1306.6902v1 [math.NA]
State	Published - Jun 28 2013

Disciplines

Mathematics

Access to Document

1306.6902v1 [math.NA]License: Unspecified

Method of Lines Transpose- A Fast Implicit Wave Propagator.pdfFinal published version, 1.33 MBLicense: Unspecified

Cite this

@article{6846b535bf234f4e89cad36795e9acfe,

title = "Method of Lines Transpose: A Fast Implicit Wave Propagator",

abstract = " As a follow up to \cite{Causley2013}, we provide a detailed description of the numerical implementation of an O(N), A-stable, second order accurate solution of the wave equation, constructed from semi-discrete boundary value problems. We improve on the previous algorithm by replacing the Lax-type correction used in \cite{Causley2013}, which was necessary for convergence when Δt<Δx/c, with a more accurate spatial quadrature, which we prove is convergent. ",

author = "Causley, {Matthew F.} and Christlieb, {Andrew J.} and Yaman Guclu and ERIC WOLF",

year = "2013",

month = jun,

day = "28",

doi = "1306.6902v1 [math.NA]",

language = "American English",

journal = "arXiv",

}

TY - JOUR

T1 - Method of Lines Transpose: A Fast Implicit Wave Propagator

AU - Causley, Matthew F.

AU - Christlieb, Andrew J.

AU - Guclu, Yaman

AU - WOLF, ERIC

PY - 2013/6/28

Y1 - 2013/6/28

N2 - As a follow up to \cite{Causley2013}, we provide a detailed description of the numerical implementation of an O(N), A-stable, second order accurate solution of the wave equation, constructed from semi-discrete boundary value problems. We improve on the previous algorithm by replacing the Lax-type correction used in \cite{Causley2013}, which was necessary for convergence when Δt<Δx/c, with a more accurate spatial quadrature, which we prove is convergent.

AB - As a follow up to \cite{Causley2013}, we provide a detailed description of the numerical implementation of an O(N), A-stable, second order accurate solution of the wave equation, constructed from semi-discrete boundary value problems. We improve on the previous algorithm by replacing the Lax-type correction used in \cite{Causley2013}, which was necessary for convergence when Δt<Δx/c, with a more accurate spatial quadrature, which we prove is convergent.

U2 - 1306.6902v1 [math.NA]

DO - 1306.6902v1 [math.NA]

M3 - Article

JO - arXiv

JF - arXiv

ER -