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CSCI-6840: Numerical Solution of Partial Differential Equations
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< meta property = "og:description" content = "Numerical methods and analysis for linear and nonlinear PDEs with applications from heat conduction, wave propagation, solid and fluid mechanics, and other areas. Basic concepts of stability and convergence (Lax equivalence theorem, CFL condition, energy methods). Methods for parabolic problems (finite differences, method of lines, ADI, operator splitting), methods for hyperbolic problems (vector systems and characteristics, dissipation and dispersion, shocks capturing and tracking schemes), methods for elliptic problems (finite difference and finite volume methods)." >
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Numerical Solution of Partial Differential Equations
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CSCI-6840
< / h2 >
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Numerical methods and analysis for linear and nonlinear PDEs with applications from heat conduction, wave propagation, solid and fluid mechanics, and other areas. Basic concepts of stability and convergence (Lax equivalence theorem, CFL condition, energy methods). Methods for parabolic problems (finite differences, method of lines, ADI, operator splitting), methods for hyperbolic problems (vector systems and characteristics, dissipation and dispersion, shocks capturing and tracking schemes), methods for elliptic problems (finite difference and finite volume methods).
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4 credits
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Prereqs:
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none
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< th > < / th >
< th class = "spring season-label" > Spring< / th >
< th class = "summer season-label" colspan = "2" > Summer< / th >
< th class = "fall season-label" > Fall< / th >
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< th class = "year" > 2024< / th >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202401&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
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< li > William Douglas Henshaw< / li >
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< span class = "course-capacity" >
Seats Taken: 0/10
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202301&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > William Douglas Henshaw< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 2/10
< / span >
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< / td >
< td colspan = "2" class = "term summer not-offered" >
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< td class = "term fall not-offered" >
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< th class = "year" > 2022< / th >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202201&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > Jeffrey William Banks< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 2/10
< / span >
< / div >
< / td >
< td colspan = "2" class = "term summer not-offered" >
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< td class = "term fall not-offered" >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202101&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > Jeffrey William Banks< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 2/10
< / span >
< / div >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
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< tr >
< th class = "year" > 2020< / th >
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< span class = "term-course-info" >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202001&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > William Douglas Henshaw< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 2/40
< / span >
< / div >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2019< / th >
< td class = "term spring offered" >
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< span class = "term-course-info" >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201901&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > William Douglas Henshaw< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 1/40
< / span >
< / div >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
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< th class = "year" > 2018< / th >
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< td class = "term spring not-offered" >
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< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2017< / th >
< td class = "term spring not-offered" >
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< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
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< th class = "year" > 2016< / th >
< td class = "term spring not-offered" >
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< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
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< / td >
< td class = "term fall offered" >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201509&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > Jeffrey William Banks< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 1/12
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< / tr >
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< th class = "year" > 2014< / th >
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< td class = "term fall not-offered" >
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< / tr >
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< th class = "year" > 2013< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
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< td class = "term fall not-offered" >
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< / td >
< / tr >
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< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2011< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
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< td class = "term fall not-offered" >
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< / td >
< / tr >
< tr >
< th class = "year" > 2010< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2009< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
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< td class = "term fall not-offered" >
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< / td >
< / tr >
< tr >
< th class = "year" > 2008< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2007< / th >
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< td class = "term spring not-offered" >
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< / td >
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< td colspan = "2" class = "term summer not-offered" >
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< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200709&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > Donald W Schwendeman< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 1/30
< / span >
< / div >
< / td >
< / tr >
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< tr >
< th class = "year" > 2006< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2005< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
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< td class = "term fall not-offered" >
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< / td >
< / tr >
< tr >
< th class = "year" > 2004< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2003< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
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< td class = "term fall not-offered" >
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< / td >
< / tr >
< tr >
< th class = "year" > 2002< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2001< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200109&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Par Diff Eq (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Donald W Schwendeman< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 2/30
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2000< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 1999< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=199909&subj_in=CSCI&crse_in=6840&schd_in=" > Num Solution Of Pdes (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Joseph E Flaherty< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 3/50
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 1998< / th >
< td class = "term spring unscheduled" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
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