Spectral Methods in Matlab.zip_spectral method_谱元法_matlab例程

<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/625bf33fbe9ad24cfa35d3c7/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/625bf33fbe9ad24cfa35d3c7/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Sp ectral Metho ds</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls1 ws0">in Matlab</div><div class="t m0 x3 h3 y3 ff1 fs1 fc0 sc0 ls0 ws0">Lloyd N. Trefethen</div></div><div class="pi" data-data='{"ctm":[1.568627,0.000000,0.000000,1.568627,0.000000,0.000000]}'></div></div> </body> </html>

<div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/625bf33fbe9ad24cfa35d3c7/bg3.jpg"><div class="t m0 x4 h3 y4 ff2 fs1 fc0 sc0 ls2 ws0">[Inside front cover]</div><div class="t m0 x5 h3 y5 ff2 fs1 fc0 sc0 ls0 ws0">Download the programs from</div><div class="t m0 x5 h3 y6 ff3 fs1 fc0 sc0 ls0 ws0">http://www.comlab.ox.ac.uk/oucl/ work/nick.tr efethen.</div><div class="t m0 x5 h3 y7 ff2 fs1 fc0 sc0 ls0 ws0">Start up</div><div class="t m0 x6 h3 y7 ff4 fs1 fc0 sc0 ls0 ws0">Matlab</div><div class="t m0 x7 h3 y7 ff2 fs1 fc0 sc0 ls0 ws0">.</div><div class="t m0 x5 h3 y8 ff2 fs1 fc0 sc0 ls3 ws0">Run</div><div class="t m0 x8 h3 y8 ff3 fs1 fc0 sc0 ls0 ws0">p1</div><div class="t m0 x9 h3 y8 ff2 fs1 fc0 sc0 ls0 ws0">,</div><div class="t m0 xa h3 y8 ff3 fs1 fc0 sc0 ls0 ws0">p2</div><div class="t m0 xb h3 y8 ff2 fs1 fc0 sc0 ls0 ws0">,</div><div class="t m0 xc h3 y8 ff3 fs1 fc0 sc0 ls3 ws0">p3</div><div class="t m0 xd h3 y8 ff2 fs1 fc0 sc0 ls0 ws0">,</div><div class="t m0 xe h3 y8 ff5 fs1 fc0 sc0 ls4 ws0">:::</div><div class="t m0 x5 h3 y9 ff2 fs1 fc0 sc0 ls3 ws0">Happy computing !</div></div><div class="pi" data-data='{"ctm":[1.568627,0.000000,0.000000,1.568627,0.000000,0.000000]}'></div></div>

<div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/625bf33fbe9ad24cfa35d3c7/bg5.jpg"><div class="t m0 xf h3 y4 ff2 fs1 fc0 sc0 ls2 ws0">[Inside back cover]</div><div class="t m0 x10 h3 ya ff2 fs1 fc0 sc0 ls0 ws0">TOPIC PROGRAMS</div><div class="t m0 x10 h3 yb ff2 fs1 fc0 sc0 ls0 ws0">Chebyshev dierentiation matrices 11, 26</div><div class="t m0 x10 h3 yc ff2 fs1 fc0 sc0 ls0 ws0">Chebyshev dierentiation by FFT 18, 19, 20</div><div class="t m0 x10 h3 yd ff2 fs1 fc0 sc0 ls0 ws0">Clenshaw{Curtis quadrature 30</div><div class="t m0 x10 h3 ye ff2 fs1 fc0 sc0 ls0 ws0">complex arithmetic 10, 24, 25, 31, 40</div><div class="t m0 x10 h3 yf ff2 fs1 fc0 sc0 ls0 ws0">dierentiation 1, 2, 4, 5, 7, 11, 12, 18</div><div class="t m0 x10 h3 y10 ff2 fs1 fc0 sc0 ls0 ws0">eigenvalue problems 8, 15, 21, 22, 23, 24, 26, 28, 39, 40</div><div class="t m0 x10 h3 y11 ff2 fs1 fc0 sc0 ls0 ws0">nite dierence metho ds 1</div><div class="t m0 x10 h3 y12 ff2 fs1 fc0 sc0 ls0 ws0">Fourier dierentiation matrices 2, 4, 8</div><div class="t m0 x10 h3 y13 ff2 fs1 fc0 sc0 ls0 ws0">Fourier dierentiation by FFT 5, 6, 28</div><div class="t m0 x10 h3 y14 ff2 fs1 fc0 sc0 ls0 ws0">fourth-order problems 38, 39, 40</div><div class="t m0 x10 h3 y15 ff2 fs1 fc0 sc0 ls0 ws0">Gauss quadrature 30</div><div class="t m0 x10 h3 y16 ff2 fs1 fc0 sc0 ls0 ws0">Gibbs phenomenon 3</div><div class="t m0 x10 h3 y17 ff2 fs1 fc0 sc0 ls0 ws0">inhomogeneous b oundary conditions 32, 35, 36</div><div class="t m0 x10 h3 y18 ff2 fs1 fc0 sc0 ls3 ws0">interp olation 3, 9, 10, 13, 16</div><div class="t m0 x10 h3 y19 ff2 fs1 fc0 sc0 ls0 ws0">Laplace and Poisson problems 13, 14, 15, 16, 23, 28, 29, 32, 33, 36</div><div class="t m0 x10 h3 y1a ff2 fs1 fc0 sc0 ls0 ws0">Neumann b oundary conditions 33, 37</div><div class="t m0 x10 h3 y1b ff2 fs1 fc0 sc0 ls0 ws0">nonlinear problems 14, 27, 34, 35</div><div class="t m0 x10 h3 y1c ff2 fs1 fc0 sc0 ls0 ws0">p erio dic domains 21</div><div class="t m0 x10 h3 y1d ff2 fs1 fc0 sc0 ls0 ws0">p olar co ordinates 28, 29</div><div class="t m0 x10 h3 y1e ff2 fs1 fc0 sc0 ls6 ws0">potential theory 10</div><div class="t m0 x10 h3 y1f ff2 fs1 fc0 sc0 ls0 ws0">pseudosp ectra 24</div><div class="t m0 x10 h3 y20 ff2 fs1 fc0 sc0 ls0 ws0">Runge phenomenon 9, 10</div><div class="t m0 x10 h3 y21 ff2 fs1 fc0 sc0 ls0 ws0">sp ectral accuracy 2, 4, 7, 8, 11, 12, 30</div><div class="t m0 x10 h3 y22 ff2 fs1 fc0 sc0 ls0 ws0">time-stepping 6, 19, 20, 25, 27, 34, 35, 37</div><div class="t m0 x10 h3 y23 ff2 fs1 fc0 sc0 ls0 ws0">two-dimensional domains 16, 17, 20, 23, 28, 29, 36, 37, 39</div><div class="t m0 x10 h3 y24 ff2 fs1 fc0 sc0 ls0 ws0">two-point b oundary-value problems 13, 14, 32, 33, 38</div><div class="t m0 x10 h3 y25 ff2 fs1 fc0 sc0 ls3 ws0">unb ounded domains 8, 24</div><div class="t m0 x10 h3 y26 ff2 fs1 fc0 sc0 ls0 ws0">variable co ecients 6, 8, 22, 23, 24</div><div class="t m0 x10 h3 y27 ff2 fs1 fc0 sc0 ls0 ws0">wave equations 6, 19, 20, 27, 37</div></div><div class="pi" data-data='{"ctm":[1.568627,0.000000,0.000000,1.568627,0.000000,0.000000]}'></div></div>