LEADER 04816nam 22007935 450 001 9910299765703321 005 20200701111246.0 010 $a3-319-14784-6 024 7 $a10.1007/978-3-319-14784-0 035 $a(CKB)3710000000404019 035 $a(SSID)ssj0001501729 035 $a(PQKBManifestationID)11968037 035 $a(PQKBTitleCode)TC0001501729 035 $a(PQKBWorkID)11446991 035 $a(PQKB)11331282 035 $a(DE-He213)978-3-319-14784-0 035 $a(MiAaPQ)EBC6312380 035 $a(MiAaPQ)EBC5592582 035 $a(Au-PeEL)EBL5592582 035 $a(OCoLC)908104358 035 $a(PPN)185490182 035 $a(EXLCZ)993710000000404019 100 $a20150416d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSolving Hyperbolic Equations with Finite Volume Methods /$fby M. Elena Vázquez-Cendón 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XVII, 188 p. 55 illus., 43 illus. in color.) 225 1 $aLa Matematica per il 3+2,$x2038-5722 ;$v90 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-14783-8 327 $a1 Part I Basic concepts and examples of environmental and industrial interest -- 2 Motivation -- 3 Hyperbolic conservation laws. Basic concepts and examples -- 4 Types of solutions to hyperbolic systems of conservation laws -- 5 Biographical summary of Professor Peter Lax -- 6 Part II Finite volume methods applied to the hyperbolic conservation laws -- 7 1D hyperbolic linear systems -- 8 1D Non-linear hyperbolic systems -- 9 Biographical summary of Professor Sergei Konstantinovich Godunov -- 10 Part III MATLAB codes for the studied methods -- 11 Codes for the linear transport equation -- 12 Codes for the Burgers equation -- 13 Biographical summary of Professor Eleuterio Francisco Toro. 330 $aFinite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields. The selection of content is based on the author?s experience giving PhD and master courses in different universities. In the book the introduction of new concepts and numerical methods go together with simple exercises, examples and applications that contribute to reinforce them. In addition, some of them involve the execution of MATLAB codes. The author promotes an understanding of common terminology with a balance between mathematical rigor and physical intuition that characterizes the origin of the methods. This book aims to be a first contact with finite volume methods. Once readers have studied it, they will be able to follow more specific bibliographical references and use commercial programs or open source software within the framework of Computational Fluid Dynamics (CFD). 410 0$aLa Matematica per il 3+2,$x2038-5722 ;$v90 606 $aSoftware engineering 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aEnvironmental sciences 606 $aComputer science$xMathematics 606 $aPhysics 606 $aSoftware Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/I14029 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aMath. Appl. in Environmental Science$3https://scigraph.springernature.com/ontologies/product-market-codes/U24005 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aSoftware engineering. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aEnvironmental sciences. 615 0$aComputer science$xMathematics. 615 0$aPhysics. 615 14$aSoftware Engineering. 615 24$aMathematical and Computational Engineering. 615 24$aMath. Appl. in Environmental Science. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aMathematical Methods in Physics. 676 $a532 700 $aVázquez-Cendón$b M. Elena$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755561 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299765703321 996 $aIntroducción al método de volúmenes finitos$92440541 997 $aUNINA