A comparison of finite difference stencils on two forms of the acoustic wave equation

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dc.contributor.advisorSymes, William W.en_US
dc.creatorHill, Regina Shayleanen_US
dc.date.accessioned2009-06-04T06:23:47Zen_US
dc.date.available2009-06-04T06:23:47Zen_US
dc.date.issued2000en_US
dc.description.abstractIn practice, two forms of the acoustic wave equation, the velocity-stress and pressure forms, are used to simulate seismic experiments. These equations in their discrete forms lead to two families of finite difference schemes, the staggered-grid and centered difference schemes. These two difference schemes are widely used to numerically generate seismograms. Although these two difference schemes are widely used, there has been no distinction whether one is better than the other. The goal of this research is to formulate a heuristic based on computational cost and storage to determine which scheme is better than the other.en_US
dc.format.extent32 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH.SCI. 2001 HILLen_US
dc.identifier.citationHill, Regina Shaylean. "A comparison of finite difference stencils on two forms of the acoustic wave equation." (2000) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/17430">https://hdl.handle.net/1911/17430</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/17430en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectApplied mechanicsen_US
dc.subjectMathematicsen_US
dc.titleA comparison of finite difference stencils on two forms of the acoustic wave equationen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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