{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 236 0 76 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 48 37 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 256 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE " " -1 257 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 1 24 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE " Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 4 4 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 4 "" 0 "" {TEXT 256 14 "Ejercicios de " }}{PARA 4 "" 0 "" {TEXT 258 32 "(13) Las Ecuaciones hiperb\363licas" }}{PARA 4 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 257 15 "Ejercicio 13-0 6" }{TEXT 259 40 " (del EXAMEN EXTRAORDINARIO de 01JUL05)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 28 "Para el problema \+ hiperb\363lico" }}{PARA 4 "" 0 "" {TEXT -1 4 " " }{XPPEDIT 18 0 "de lta^2 u/(delta t^2)" "6#*(%&deltaG\"\"#%\"uG\"\"\"*&F$F'*$%\"tGF%F'! \"\"" }{TEXT -1 4 " - " }{XPPEDIT 18 0 "alpha^2" "6#*$%&alphaG\"\"#" }{TEXT -1 2 " " }{XPPEDIT 18 0 "delta^2 u/(delta x^2)" "6#*(%&delta G\"\"#%\"uG\"\"\"*&F$F'*$%\"xGF%F'!\"\"" }{TEXT -1 5 " = 0" }}{PARA 4 "" 0 "" {TEXT -1 18 " u ( x , 0 ) = " }{XPPEDIT 18 0 "f[1]" "6#&% \"fG6#\"\"\"" }{TEXT -1 11 " ( x ) , " }{XPPEDIT 18 0 "delta u/(del ta t)" "6#*(%&deltaG\"\"\"%\"uGF%*&F$F%%\"tGF%!\"\"" }{TEXT -1 14 " ( x , 0 ) = " }{XPPEDIT 18 0 "f[2]" "6#&%\"fG6#\"\"#" }{TEXT -1 25 " ( x ) , " }}{PARA 4 "" 0 "" {TEXT -1 41 " u ( 0 , t \+ ) = 0 y u ( l , t ) = 0 ," }}{PARA 4 "" 0 "" {TEXT -1 52 "se conside ra el ret\355culo usual [ 0 , l ] x [ 0 , + " }{XPPEDIT 18 0 "infinit y;" "6#%)infinityG" }{TEXT -1 37 " ) y el m\351todo en diferencias fin itas" }}{PARA 4 "" 0 "" {TEXT -1 6 " " }{XPPEDIT 18 0 "u[n*m+1]; " "6#&%\"uG6#,&*&%\"nG\"\"\"%\"mGF)F)F)F)" }{TEXT -1 5 " - 2 " } {XPPEDIT 18 0 "u[n*m];" "6#&%\"uG6#*&%\"nG\"\"\"%\"mGF(" }{TEXT -1 4 " + " }{XPPEDIT 18 0 "u[n*m-1];" "6#&%\"uG6#,&*&%\"nG\"\"\"%\"mGF)F)F) !\"\"" }{TEXT -1 2 " " }{XPPEDIT 18 0 "-lambda^2/3;" "6#,$*&%'lambdaG \"\"#\"\"$!\"\"F(" }{TEXT -1 5 " ( " }{XPPEDIT 18 0 "u[n+2*m];" "6#& %\"uG6#,&%\"nG\"\"\"*&\"\"#F(%\"mGF(F(" }{TEXT -1 2 " " }{XPPEDIT 18 0 "-u[n+1*m];" "6#,$&%\"uG6#,&%\"nG\"\"\"*&F)F)%\"mGF)F)!\"\"" }{TEXT -1 3 " " }{XPPEDIT 18 0 "-u[n-1*m];" "6#,$&%\"uG6#,&%\"nG\"\"\"*&F)F )%\"mGF)!\"\"F," }{TEXT -1 3 " + " }{XPPEDIT 18 0 "u[n-2*m];" "6#&%\"u G6#,&%\"nG\"\"\"*&\"\"#F(%\"mGF(!\"\"" }{TEXT -1 8 " ) = 0 " }}{PARA 4 "" 0 "" {TEXT -1 20 "donde se ha puesto " }{XPPEDIT 18 0 "lambda;" "6#%'lambdaG" }{TEXT -1 3 " = " }{XPPEDIT 18 0 "alpha;" "6#%&alphaG" } {TEXT -1 46 " k / h . D\355gase cu\341l es el orden de truncaci\363n" }}{PARA 4 "" 0 "" {TEXT -1 11 "del m\351todo." }}{PARA 4 "" 0 "" {TEXT -1 78 "Adem\341s, d\355gase qu\351 ocurre cuando se estudia la e stabilidad del m\351todo mediante" }}{PARA 4 "" 0 "" {TEXT -1 28 "el p rocedimiento de FOURIER." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 " restart:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "interface(label ing=false):" }}}}{MARK "0 3 0" 15 }{VIEWOPTS 1 1 0 3 4 1802 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }