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MATH-4820: Introduction to Numerical Methods for Differential Equations
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<meta property="og:description" content="Derivation, analysis, and use of computational procedures for solving differential equations. Topics covered include ordinary differential equations (both initial value and boundary value problems) and partial differential equations. Runge-Kutta and multistep methods for initial value problems. Finite difference methods for partial differential equations including techniques for heat conduction, wave propagation, and potential problems. Basic convergence and stability theory.">
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Introduction to Numerical Methods for Differential Equations
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MATH-4820
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Derivation, analysis, and use of computational procedures for solving differential equations. Topics covered include ordinary differential equations (both initial value and boundary value problems) and partial differential equations. Runge-Kutta and multistep methods for initial value problems. Finite difference methods for partial differential equations including techniques for heat conduction, wave propagation, and potential problems. Basic convergence and stability theory.
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4 credits
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Cross-listed with:
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<a class="course-pill" href="CSCI-4820">CSCI-4820 Introduction to Numerical Methods for Differential Equations</a>
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one of:
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<a class="course-pill" href="MATH-4800">MATH-4800 Numerical Computing</a>
<a class="course-pill" href="CSCI-4800">CSCI-4800 Numerical Computing</a>
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<table id="years-table">
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<thead>
<tr>
<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>
</tr>
<tr>
<th colspan="2"></th>
<th class="summer2 midsum-label">(Session 1)</th>
<th class="summer3 midsum-label">(Session 2)</th>
<th></th>
</tr>
</thead>
<tbody>
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<tr>
<th class="year">2024</th>
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<td class="term spring offered">
<div class="view-container detail-view-container">
<span class="term-course-info">
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202401&subj_in=MATH&crse_in=4820&schd_in=">Intro Numerical Mthd Diff Equ (4c)</a>
</span>
<ul class="prof-list">
<li>William Douglas Henshaw</li>
</ul>
<span class="course-capacity">
2024-01-04 18:28:02 +00:00
Seats Taken: 17/50
2023-10-20 21:57:08 +00:00
</span>
</div>
2023-10-04 15:23:31 +00:00
</td>
<td colspan="2" class="term summer unscheduled">
</td>
<td class="term fall unscheduled">
</td>
</tr>
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<tr>
<th class="year">2023</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">2022</th>
<td class="term spring 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=202201&subj_in=MATH&crse_in=4820&schd_in=">Intro Numerical Mthd Diff Equ (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>William Douglas Henshaw</li>
</ul>
<span class="course-capacity">
Seats Taken: 28/50
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2021</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">2020</th>
<td class="term spring 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=202001&subj_in=MATH&crse_in=4820&schd_in=">Intro Numerical Mthd Diff Equ (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>Donald W Schwendeman</li>
</ul>
<span class="course-capacity">
Seats Taken: 28/50
</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 not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2018</th>
<td class="term spring 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=201801&subj_in=MATH&crse_in=4820&schd_in=">Intro Numerical Mthd Diff Equ (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>William Douglas Henshaw</li>
</ul>
<span class="course-capacity">
Seats Taken: 34/30
</span>
</div>
</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">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2016</th>
<td class="term spring 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=201601&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>David Reese Wells</li>
</ul>
<span class="course-capacity">
Seats Taken: 20/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2015</th>
<td class="term spring 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=201501&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>William Douglas Henshaw</li>
</ul>
<span class="course-capacity">
Seats Taken: 17/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2014</th>
<td class="term spring 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=201401&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>William Douglas Henshaw</li>
</ul>
<span class="course-capacity">
Seats Taken: 14/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2013</th>
<td class="term spring 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=201301&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>David Isaacson</li>
</ul>
<span class="course-capacity">
Seats Taken: 10/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2012</th>
<td class="term spring 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=201201&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>Moayyed A Hussain</li>
</ul>
<span class="course-capacity">
Seats Taken: 8/30
</span>
</div>
</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 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=201101&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>Fengyan Li</li>
</ul>
<span class="course-capacity">
Seats Taken: 16/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2010</th>
<td class="term spring 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=201001&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>Donald W Schwendeman</li>
</ul>
<span class="course-capacity">
Seats Taken: 7/30
</span>
</div>
</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 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=200901&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>Fengyan Li</li>
</ul>
<span class="course-capacity">
Seats Taken: 13/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2008</th>
<td class="term spring 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=200801&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-10 04:02:50 +00:00
</span>
<ul class="prof-list">
<li>Moayyed A Hussain</li>
</ul>
<span class="course-capacity">
Seats Taken: 2/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2007</th>
2023-02-22 04:39:06 +00:00
<td class="term spring 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=200701&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Moayyed A Hussain</li>
</ul>
<span class="course-capacity">
Seats Taken: 8/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2006</th>
<td class="term spring 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=200601&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 8/30
</span>
</div>
</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 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=200501&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Mark H Holmes</li>
</ul>
<span class="course-capacity">
Seats Taken: 8/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2004</th>
<td class="term spring 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=200401&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Mark H Holmes</li>
</ul>
<span class="course-capacity">
Seats Taken: 14/30
</span>
</div>
</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 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=200301&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Mark H Holmes</li>
</ul>
<span class="course-capacity">
Seats Taken: 9/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2002</th>
<td class="term spring 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=200201&subj_in=MATH&crse_in=4820&schd_in=">Intro Num Meth Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 5/30
</span>
</div>
</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 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=200101&subj_in=MATH&crse_in=4820&schd_in=">Intro To Num Meth For Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 5/20
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2000</th>
<td class="term spring 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=200001&subj_in=MATH&crse_in=4820&schd_in=">Intro To Num Meth For Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Yuri V Lvov</li>
</ul>
<span class="course-capacity">
Seats Taken: 7/20
</span>
</div>
</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 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=199901&subj_in=MATH&crse_in=4820&schd_in=">Intro To Num Meth For Diff Eqs (4c)</a>
2023-02-22 04:39:06 +00:00
</span>
<ul class="prof-list">
<li>Mark H Holmes</li>
</ul>
<span class="course-capacity">
Seats Taken: 7/30
</span>
</div>
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">1998</th>
2023-02-10 04:02:50 +00:00
<td class="term spring unscheduled">
</td>
2023-02-22 04:39:06 +00:00
<td colspan="2" class="term summer not-offered">
2023-02-10 04:02:50 +00:00
</td>
<td class="term fall not-offered">
</td>
</tr>
</tbody>
</table>
</div>
</div>
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