<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://files.passeidireto.com/86f3d6cd-077a-4024-a770-4c4125a6a1f0/bg1.png" alt="Pré-visualização de imagem de arquivo"><a class="l"><div class="d m0" style="border-style:none;position:absolute;left:97.674200px;bottom:6.823350px;width:188.371800px;height:15.503850px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w2 h2" data-page-no="2"><div class="pc pc2 w2 h2"><div class="t m1 x1 h3 y1 ff1 fs0 fc0 sc0 ls0 ws0">This page intentionally left blank</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf3" class="pf w2 h2" data-page-no="3"><div class="pc pc3 w2 h2"><div class="t m1 x2 h4 y2 ff2 fs1 fc1 sc0 ls1 ws1">Finite V<span class="blank _0"></span>olume Methods f<span class="blank _1"></span>or Hyperbolic Problems</div><div class="t m1 x3 h5 y3 ff3 fs2 fc1 sc0 ls2 ws2">This book contains an introduction to hyperbolic partial dif<span class="blank _1"></span>ferential equations and a pow-</div><div class="t m1 x3 h5 y4 ff3 fs2 fc1 sc0 ls1 ws3">erful class of numerical methods for approximating their solution, including both linear</div><div class="t m1 x3 h5 y5 ff3 fs2 fc1 sc0 ls1 ws4">problems and nonlinear conservation la<span class="blank _1"></span>ws. These equations describe a wide range of wa<span class="blank _1"></span>ve-</div><div class="t m1 x3 h5 y6 ff3 fs2 fc1 sc0 ls2 ws5">propagation and transport phenomena arising in nearly ev<span class="blank _1"></span>ery scientific and engineering</div><div class="t m1 x3 h5 y7 ff3 fs2 fc1 sc0 ls1 ws6">discipline. Sev<span class="blank _1"></span>eral applications are described in a self-contained manner<span class="blank _1"></span>, along with much</div><div class="t m1 x3 h5 y8 ff3 fs2 fc1 sc0 ls2 ws7">of the mathematical theory of hyperbolic problems. High-resolution versions of Goduno<span class="blank _1"></span>v’<span class="blank _2"></span>s</div><div class="t m1 x3 h5 y9 ff3 fs2 fc1 sc0 ls1 ws8">method are dev<span class="blank _2"></span>eloped, in which Riemann problems are solved to determine the local wa<span class="blank _1"></span>ve</div><div class="t m1 x3 h5 ya ff3 fs2 fc1 sc0 ls1 ws9">structure and limiters are then applied to eliminate numerical oscillations. These meth-</div><div class="t m1 x3 h5 yb ff3 fs2 fc1 sc0 ls1 wsa">ods were originally designed to capture shock wa<span class="blank _1"></span>ves accurately<span class="blank _2"></span>, b<span class="blank _2"></span>ut are also useful tools</div><div class="t m1 x3 h5 yc ff3 fs2 fc1 sc0 ls2 wsb">for studying linear wa<span class="blank _1"></span>ve-propagation problems, particularly in heterogenous material. The</div><div class="t m1 x3 h6 yd ff3 fs2 fc1 sc0 ls1 wsc">methods studied are implemented <span class="wsd v0">in the <span class="fs3 wse v0">CLAWPACK </span></span><span class="v0">software <span class="v0">package. Source code for all</span></span></div><div class="t m1 x3 h5 ye ff3 fs2 fc1 sc0 ls1 wsf">the examples presented can be found on the web, along with animations of man<span class="blank _2"></span>y time-</div><div class="t m1 x3 h5 yf ff3 fs2 fc1 sc0 ls1 ws10">dependent solutions. This provides an e<span class="blank _1"></span>xcellent learning en<span class="blank _2"></span>vironment for understanding</div><div class="t m1 x3 h5 y10 ff3 fs2 fc1 sc0 ls2 ws11">wa<span class="blank _1"></span>ve-propagation phenomena and finite v<span class="blank _2"></span>olume methods.</div><div class="t m1 x3 h5 y11 ff3 fs2 fc1 sc0 ls1 ws12">Randall LeV<span class="blank _0"></span>eque is the Boeing Professor of Applied Mathematics at the Univ<span class="blank _2"></span>ersity of</div><div class="t m1 x3 h5 y12 ff3 fs2 fc1 sc0 ls1 ws13">W<span class="blank _2"></span>ashington.</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf4" class="pf w2 h2" data-page-no="4"><div class="pc pc4 w2 h2"></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf5" class="pf w2 h2" data-page-no="5"><div class="pc pc5 w2 h2"><img fetchpriority="low" loading="lazy" class="bi x3 y13 w3 h7" alt src="https://files.passeidireto.com/86f3d6cd-077a-4024-a770-4c4125a6a1f0/bg5.png" alt="Pré-visualização de imagem de arquivo"><div class="t m1 x4 h8 y14 ff4 fs4 fc1 sc0 ls1 ws14">Cambridge T<span class="blank _0"></span>exts in Applied Mathematics</div><div class="t m1 x5 h9 y15 ff4 fs3 fc1 sc0 ls1 ws15">Maximum and Minimum Principles</div><div class="t m1 x6 h9 y16 ff4 fs3 fc1 sc0 ls1 ws15">M.J. S<span class="fs5 ws16">EWELL</span></div><div class="t m1 x7 h9 y17 ff4 fs3 fc1 sc0 ls1">Solitons</div><div class="t m1 x8 h9 y18 ff4 fs3 fc1 sc0 lsd ws17">P. G .<span class="blank _3"> </span>D <span class="fs5 ls1 ws18 v0">RAZIN AND <span class="fs3 ws15">R.S. J</span>OHNSON</span></div><div class="t m1 x9 h9 y19 ff4 fs3 fc1 sc0 ls1 ws15">The Kinematics of Mixing</div><div class="t m1 x6 h9 y1a ff4 fs3 fc1 sc0 ls1 ws15">J.M. O<span class="fs5 v0">TTINO</span></div><div class="t m1 xa h9 y1b ff4 fs3 fc1 sc0 ls1 ws15">Introduction to Numerical Linear Algebra and Optimisation</div><div class="t m1 xb ha y1c ff4 fs3 fc1 sc0 ls1 ws19">P<span class="fs5 ws1a v0">HILIPPE <span class="fs3 lse ws1b">G<span class="blank _4"></span>.C<span class="blank _4"></span><span class="fs5 ls1">IARLET</span></span></span></div><div class="t m1 xc h9 y1d ff4 fs3 fc1 sc0 ls1 ws15">Integral Equations</div><div class="t m1 xd hb y1e ff4 fs3 fc1 sc0 ls3">D<span class="fs5 lsf ws1c v0">AVI D<span class="blank _5"> </span><span class="fs3 ls4">P</span><span class="ls1 ws1d">ORTER AND <span class="fs3 ls5">D</span><span class="ws1e">AVID <span class="fs3 ws15">S.G. S</span><span class="ws16">TIRLING</span></span></span></span></div><div class="t m1 xb h9 y1f ff4 fs3 fc1 sc0 ls1 ws1f">Perturbation Methods</div><div class="t m1 xe h9 y20 ff4 fs3 fc1 sc0 ls1 ws15">E.J. H<span class="fs5 v0">INCH</span></div><div class="t m1 xf h9 y21 ff4 fs3 fc1 sc0 ls1 ws15">The Thermomechanics of Plasticity and Fracture</div><div class="t m1 xb ha y22 ff4 fs3 fc1 sc0 ls1 ws19">G<span class="fs5 ws20 v0">ERARD <span class="fs3 ws1f">A. M</span><span class="ws16">AUGIN</span></span></div><div class="t m1 x10 h9 y23 ff4 fs3 fc1 sc0 ls1 ws15">Boundary Integral and Singularity Methods for Linearized V<span class="blank _2"></span>iscous Flow</div><div class="t m1 x11 h9 y24 ff4 fs3 fc1 sc0 ls1 ws15">C. P<span class="fs5">OZRIKIDIS</span></div><div class="t m1 x12 h9 y25 ff4 fs3 fc1 sc0 ls1 ws15">Nonlinear W<span class="blank _2"></span>av<span class="blank _2"></span>e Processes in Acoustics</div><div class="t m1 x13 ha y26 ff4 fs3 fc1 sc0 ls1 ws21">K. N<span class="fs5 ws22 v0">AUGOLNYKH AND <span class="fs3 ws15">L. O</span><span class="ws16">STROVSK<span class="blank _2"></span>Y</span></span></div><div class="t m1 xc h9 y27 ff4 fs3 fc1 sc0 ls1 ws15">Nonlinear Systems</div><div class="t m1 x6 h9 y28 ff4 fs3 fc1 sc0 ls10 ws23">P. G .<span class="blank _3"> </span>D <span class="fs5 ls1 v0">RAZIN</span></div><div class="t m1 x14 h9 y29 ff4 fs3 fc1 sc0 ls1 ws15">Stability<span class="blank _2"></span>, Instability and Chaos</div><div class="t m1 x15 h9 y2a ff4 fs3 fc1 sc0 ls1 ws19">P<span class="fs5 ws24 v0">AUL <span class="fs3 ls5">G</span><span class="ws16">LENDINNING</span></span></div><div class="t m1 x16 h9 y2b ff4 fs3 fc1 sc0 ls1 ws15">Applied Analysis of the Navier<span class="blank _2"></span>–Stokes Equations</div><div class="t m1 x8 h9 y2c ff4 fs3 fc1 sc0 ls1 ws15">C.R. D<span class="fs5 ws25 v0">OERING AND </span><span class="v0">J.D. G<span class="fs5">IBBON</span></span></div><div class="t m1 x6 h9 y2d ff4 fs3 fc1 sc0 ls1 ws15">V<span class="blank _2"></span>iscous Flow</div><div class="t m1 x5 ha y2e ff4 fs3 fc1 sc0 ls1 ws1f">H. O<span class="fs5 ws26 v0">CKENDON AND <span class="fs3 ws15">J.R. O</span><span class="ws16">CKENDON</span></span></div><div class="t m1 x17 h9 y2f ff4 fs3 fc1 sc0 ls1 ws15">Scaling, Self-Similarity and Intermediate Asymptotics</div><div class="t m1 xc h9 y30 ff4 fs3 fc1 sc0 ls1 ws15">G.I. B<span class="fs5">ARENBLATT</span></div><div class="t m1 x18 h9 y31 ff4 fs3 fc1 sc0 ls1 ws15">A First Course in the Numerical Analysis of Differential Equations</div><div class="t m1 x19 ha y32 ff4 fs3 fc1 sc0 ls6">A<span class="fs5 ls1 ws27 v0">RIEH <span class="fs3 ls7">I</span>SERLES</span></div><div class="t m1 x1a h9 y33 ff4 fs3 fc1 sc0 ls1 ws15">Complex V<span class="blank _0"></span>ariables: Introduction and Applications</div><div class="t m1 x1a ha y34 ff4 fs3 fc1 sc0 ls8">M<span class="fs5 ls1 ws28 v0">ARK <span class="fs3 ws1f">J. A</span><span class="ws1d">BLOWITZ AND <span class="fs3 ls5">A</span><span class="ws29">THANASSIOS <span class="fs3 ws21">S. F</span>OKAS</span></span></span></div><div class="t m1 x1b h9 y35 ff4 fs3 fc1 sc0 ls1 ws15">Mathematical Models in the Applied Sciences</div><div class="t m1 x11 h9 y36 ff4 fs3 fc1 sc0 ls1 ws15">A.C. F<span class="fs5 ls11 ws2a v0">OWLER</span></div><div class="t m1 xf h9 y37 ff4 fs3 fc1 sc0 ls1 ws15">Thinking About Ordinary Differential Equations</div><div class="t m1 x1c ha y38 ff4 fs3 fc1 sc0 ls1 ws19">R<span class="fs5 ws2b v0">OBERT <span class="fs3 ws1f">E. O’M</span><span class="ws16">ALLEY</span></span></div><div class="t m1 x1d h9 y39 ff4 fs3 fc1 sc0 ls1 ws15">A Modern Introduction to the Mathematical Theory of W<span class="blank _2"></span>ater W<span class="blank _2"></span>a<span class="blank _2"></span>ves</div><div class="t m1 x11 h9 y3a ff4 fs3 fc1 sc0 ls1 ws15">R.S. J<span class="fs5 v0">OHNSON</span></div><div class="t m1 x1e h9 y3b ff4 fs3 fc1 sc0 ls1 ws15">Rarefied Gas Dynamics</div><div class="t m1 x15 h9 y3c ff4 fs3 fc1 sc0 ls9">C<span class="fs5 ls1 ws2c v0">ARLO <span class="fs3 ws19">C</span><span class="ws16">ERCIGNANI</span></span></div><div class="t m1 x1b h9 y3d ff4 fs3 fc1 sc0 ls1 ws15">Symmetry Methods for Differential Equations</div><div class="t m1 x1f ha y3e ff4 fs3 fc1 sc0 ls1 ws19">P<span class="fs5 lsa ws2d v0">ETER </span><span class="ws15 v0">E. H<span class="fs5">YDON</span></span></div><div class="t m1 x1f h9 y3f ff4 fs3 fc1 sc0 ls1 ws1f">High Speed Flow</div><div class="t m1 x19 h9 y40 ff4 fs3 fc1 sc0 ls1 ws15">C.J. C<span class="fs5 v0">HAPMAN</span></div><div class="t m1 x6 h9 y41 ff4 fs3 fc1 sc0 ls1 ws15">W<span class="blank _2"></span>av<span class="blank _2"></span>e Motion</div><div class="t m1 x20 ha y42 ff4 fs3 fc1 sc0 ls1 ws1f">J. B<span class="fs5 ws2e v0">ILLINGHAM AND <span class="fs3 ws15">A.C. K</span><span class="ws16">ING</span></span></div><div class="t m1 x21 h9 y43 ff4 fs3 fc1 sc0 ls12 ws2f">An Introduction to Magnetohydrodynamics</div><div class="t m1 x19 h9 y44 ff4 fs3 fc1 sc0 ls1 ws15">P<span class="blank _6"></span>.A. D<span class="fs5 ws16 v0">AVIDSON</span></div><div class="t m1 xb h9 y45 ff4 fs3 fc1 sc0 ls1 ws1f">Linear Elastic W<span class="blank _6"></span>aves</div><div class="t m1 x22 ha y46 ff4 fs3 fc1 sc0 lsb">J<span class="fs5 ls13 ws30 v0">OHN </span><span class="lse ws1b v0">G<span class="blank _4"></span>.H<span class="blank _4"></span><span class="fs5 ls1">ARRIS</span></span></div><div class="t m1 x12 h9 y47 ff4 fs3 fc1 sc0 ls1 ws15">An Introduction to Symmetry Analysis</div><div class="t m1 xb ha y48 ff4 fs3 fc1 sc0 lsc">B<span class="fs5 ls1 ws31 v0">RIAN <span class="fs3 ws1f">J. C</span>ANTWELL</span></div><div class="t m1 x12 h9 y49 ff4 fs3 fc1 sc0 ls1 ws1f">Introduction to Hydrodynamic Stability</div><div class="t m1 x6 h9 y4a ff4 fs3 fc1 sc0 ls10 ws23">P. G .<span class="blank _3"> </span>D <span class="fs5 ls1 v0">RAZIN</span></div><div class="t m1 x16 h9 y4b ff4 fs3 fc1 sc0 ls1 ws15">Finite V<span class="blank _0"></span>olume Methods for Hyperbolic Problems</div><div class="t m1 x23 ha y4c ff4 fs3 fc1 sc0 ls1 ws19">R<span class="fs5 ws32 v0">ANDALL <span class="fs3 ws1f">J. L</span><span class="ws16">E</span></span><span class="v0">V<span class="blank _6"></span><span class="fs5">EQUE</span></span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf6" class="pf w2 h2" data-page-no="6"><div class="pc pc6 w2 h2"></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf7" class="pf w2 h2" data-page-no="7"><div class="pc pc7 w2 h2"><img fetchpriority="low" loading="lazy" class="bi x3 y4d w3 hc" alt src="https://files.passeidireto.com/86f3d6cd-077a-4024-a770-4c4125a6a1f0/bg7.png" alt="Pré-visualização de imagem de arquivo"><div class="t m1 x24 hd y4e ff5 fs6 fc1 sc0 ls1 ws34">Finite V<span class="blank _0"></span>olume Methods f<span class="blank _2"></span>or Hyperbolic Problems</div><div class="t m1 x5 he y4f ff6 fs7 fc1 sc0 ls1 ws35">RAND<span class="blank _2"></span>ALL J. LEVEQUE</div><div class="t m1 x25 hf y50 ff7 fs8 fc1 sc0 ls1 ws36">University of W<span class="blank _6"></span>ashington</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf8" class="pf w2 h2" data-page-no="8"><div class="pc pc8 w2 h2"><img fetchpriority="low" loading="lazy" class="bi x26 y51 w4 h10" alt src="https://files.passeidireto.com/86f3d6cd-077a-4024-a770-4c4125a6a1f0/bg8.png" alt="Pré-visualização de imagem de arquivo"><div class="t m1 x27 h11 y52 ff8 fs9 fc1 sc0 ls14 ws33"> <span class="blank _7"> </span> <span class="blank _7"> </span> <span class="blank _7"> </span> <span class="blank _7"> </span> <span class="blank _7"> </span> <span class="blank _7"> </span> <span class="blank _7"> </span> <span class="blank _7"> </span> <span class="blank _7"> </span></div><div class="t m1 x27 h12 y53 ff9 fs9 fc1 sc0 ls15 ws33">The <span class="blank _8"> </span>Pitt <span class="blank _8"> </span>Building, <span class="blank _8"> </span>Trumpington <span class="blank _8"> </span>Street, <span class="blank _8"> </span>Cambridge, <span class="blank _8"> </span>United <span class="blank _8"> </span>Kingdom</div><div class="t m1 x27 h11 y54 ff8 fs9 fc1 sc0 ls16 ws33"> <span class="blank _9"> </span> <span class="blank _9"> </span></div><div class="t m1 x27 h12 y55 ff9 fs9 fc1 sc0 ls17 ws33">The <span class="blank _a"> </span>Edinburgh <span class="blank _a"> </span>Building, <span class="blank _a"> </span>Cambridge <span class="blank _a"> </span>CB2 <span class="blank _a"> </span>2RU, <span class="blank _a"> </span>UK</div><div class="t m1 x27 h12 y56 ff9 fs9 fc1 sc0 ls18 ws33">40 <span class="blank _a"> </span>West <span class="blank _8"> </span>20th <span class="blank _a"> </span>Street, <span class="blank _a"> </span>New <span class="blank _a"> </span>York, <span class="blank _8"> </span>NY <span class="blank _a"> </span>10011-4211, <span class="blank _a"> </span>USA</div><div class="t m1 x27 h12 y57 ff9 fs9 fc1 sc0 ls19 ws33">477 <span class="blank _8"> </span>Williamstown <span class="blank _a"> </span>Road, <span class="blank _8"> </span>Port <span class="blank _8"> </span>Melbourne, <span class="blank _a"> </span>VIC <span class="blank _8"> </span>3207, <span class="blank _8"> </span>Australia</div><div class="t m1 x27 h12 y58 ff9 fs9 fc1 sc0 ls1a ws33">Ruiz <span class="blank _a"> </span>de <span class="blank _8"> </span>Alarcón <span class="blank _a"> </span>13, <span class="blank _8"> </span>28014 <span class="blank _a"> </span>Madrid, <span class="blank _8"> </span>Spain</div><div class="t m1 x27 h12 y59 ff9 fs9 fc1 sc0 ls1b ws33">Dock House, <span class="blank _a"> </span>The Waterfront, Cape <span class="blank _a"> </span>Town 8001, <span class="blank _a"> </span>South Africa</div><div class="t m1 x27 h12 y5a ff9 fs9 fc1 sc0 ls21">http://www.cambridge.org</div><div class="t m1 x27 h12 y5b ff9 fs9 fc1 sc0 ls1c ws33">First <span class="blank _a"> </span>published <span class="blank _a"> </span>in <span class="blank _a"> </span>printed <span class="blank _8"> </span>format </div><div class="t m1 x27 h12 y5c ff9 fs9 fc1 sc0 ls1d ws33">ISBN <span class="blank _8"> </span>0-521-81087-6 <span class="blank _8"> </span>hardback</div><div class="t m1 x27 h12 y5d ff9 fs9 fc1 sc0 ls1e ws33">ISBN <span class="blank _8"> </span>0-521-00924-3 </div><div class="c x26 y5e w5 h13"><div class="t m1 x28 h12 y5f ff9 fs9 fc1 sc0 ls1">p</div></div><div class="t m1 x12 h12 y5d ff9 fs9 fc1 sc0 ls1">a</div><div class="c x26 y5e w5 h13"><div class="t m1 xa h12 y5f ff9 fs9 fc1 sc0 ls1">p</div></div><div class="t m1 x29 h12 y5d ff9 fs9 fc1 sc0 ls1e">erback</div><div class="t m1 x27 h12 y60 ff9 fs9 fc1 sc0 ls1f ws33">ISBN <span class="blank _8"> </span>0-511-04219-1 <span class="blank _8"> </span>eBook</div><div class="t m1 x2a h12 y61 ff9 fs9 fc1 sc0 ls20 ws33">Randall <span class="blank _a"> </span>J. <span class="blank _a"> </span>LeVe</div><div class="c x2a y62 w6 h13"><div class="t m1 x2b h12 y63 ff9 fs9 fc1 sc0 ls1">q</div></div><div class="t m1 x1a h12 y64 ff9 fs9 fc1 sc0 ls20 ws33">ue <span class="blank _a"> </span>2004</div><div class="t m1 x6 h12 y65 ff9 fs9 fc1 sc0 ls1">2002</div><div class="t m1 x1e h12 y66 ff9 fs9 fc1 sc0 ls22">(netLibrary)</div><div class="t m1 x27 h12 y67 ff9 fs9 fc1 sc0 ls1">©</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf9" class="pf w2 h2" data-page-no="9"><div class="pc pc9 w2 h2"><div class="t m1 x5 h14 y68 ffa fs1 fc1 sc0 ls1 ws1">T<span class="blank _0"></span>o Loyce and Benjamin</div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pfa" class="pf w2 h2" data-page-no="a"><div class="pc pca w2 h2"></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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