LEADER 03763nam  22007212  450 
001 9910449883703321
005 20151005020622.0
010   $a1-107-13246-0
010   $a1-139-63691-X
010   $a1-280-41950-4
010   $a9786610419500
010   $a0-511-79125-9
010   $a0-511-17769-0
010   $a0-511-04219-1
010   $a0-511-14809-7
010   $a0-511-32363-8
010   $a0-511-04507-7
035   $a(CKB)1000000000002974
035   $a(EBL)202080
035   $a(OCoLC)475916657
035   $a(SSID)ssj0000155290
035   $a(PQKBManifestationID)11155750
035   $a(PQKBTitleCode)TC0000155290
035   $a(PQKBWorkID)10111498
035   $a(PQKB)11037385
035   $a(UkCbUP)CR9780511791253
035   $a(MiAaPQ)EBC202080
035   $a(PPN)240090691
035   $a(Au-PeEL)EBL202080
035   $a(CaPaEBR)ebr10021922
035   $a(CaONFJC)MIL41950
035   $a(EXLCZ)991000000000002974
100   $a20100611d2002||||  uy|            0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFinite volume methods for hyperbolic problems /$fRandall J. LeVeque$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2002.
215   $a1 online resource (xix, 558 pages) $cdigital, PDF file(s)
225 1 $aCambridge texts in applied mathematics ;$v31
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-00924-3 
311   $a0-521-81087-6 
320   $aIncludes bibliographical references (p. 535-552) and index.
327   $aCover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; 1 Introduction; Part one Linear Equations; Part two Nonlinear Equations; Part three Multidimensional Problems; Bibliography; Index
330   $aThis book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.
410  0$aCambridge texts in applied mathematics ;$v31.
606   $aDifferential equations, Hyperbolic$xNumerical solutions
606   $aFinite volume method
606   $aConservation laws (Mathematics)
615  0$aDifferential equations, Hyperbolic$xNumerical solutions.
615  0$aFinite volume method.
615  0$aConservation laws (Mathematics)
676   $a515/.353
700   $aLeVeque$b Randall J.$f1955-$042627
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910449883703321
996   $aFinite volume methods for hyperbolic problems$9474245
997   $aUNINA