%!PS-Adobe-3.0 EPSF-3.0 %%BoundingBox: 4 630 559 834 %%Title: Method_of_characteristics_new %%CreationDate: Fri Nov 18 11:18:25 2016 %%Creator: Tgif-4.2.5-QPL written by William Chia-Wei Cheng (bill.cheng@acm.org) %%ProducedBy: (unknown) %%Pages: 1 %%DocumentFonts: (atend) %%EndComments %%BeginProlog /tgifdict 56 dict def tgifdict begin /tgifellipsedict 6 dict def tgifellipsedict /mtrx matrix put /TGEL % tgifellipse { tgifellipsedict begin /yrad exch def /xrad exch def /y exch def /x exch def /savematrix mtrx currentmatrix def x y translate xrad yrad scale 0 0 1 0 360 arc savematrix setmatrix end } def /tgifarrowtipdict 8 dict def tgifarrowtipdict /mtrx matrix put /TGAT % tgifarrowtip { tgifarrowtipdict begin /dy exch def /dx exch def /h exch def /w exch def /y exch def /x exch def /savematrix mtrx currentmatrix def x y translate dy dx atan rotate 0 0 moveto w neg h lineto w neg h neg lineto savematrix setmatrix end } def /TGMAX { exch dup 3 1 roll exch dup 3 1 roll gt { pop } { exch pop } ifelse } def /TGMIN { exch dup 3 1 roll exch dup 3 1 roll lt { pop } { exch pop } ifelse } def /TGSW { stringwidth pop } def /tgifstrw 0 def /bd { bind def } bind def /GS { gsave } bd /GR { grestore } bd /NP { newpath } bd /CP { closepath } bd /CHP { charpath } bd /CT { curveto } bd /L { lineto } bd /RL { rlineto } bd /M { moveto } bd /RM { rmoveto } bd /S { stroke } bd /F { fill } bd /TR { translate } bd /RO { rotate } bd /SC { scale } bd /MU { mul } bd /DI { div } bd /DU { dup } bd /NE { neg } bd /AD { add } bd /SU { sub } bd /PO { pop } bd /EX { exch } bd /CO { concat } bd /CL { clip } bd /EC { eoclip } bd /EF { eofill } bd /IM { image } bd /IMM { imagemask } bd /ARY { array } bd /SG { setgray } bd /RG { setrgbcolor } bd /SD { setdash } bd /W { setlinewidth } bd /SM { setmiterlimit } bd /SLC { setlinecap } bd /SLJ { setlinejoin } bd /SH { show } bd /FF { findfont } bd /MS { makefont setfont } bd /AR { arcto 4 {pop} repeat } bd /CURP { currentpoint } bd /FLAT { flattenpath strokepath clip newpath } bd /TGSM { tgiforigctm setmatrix } def /TGRM { savematrix setmatrix } def end %%EndProlog %%Page: 1 1 %%PageBoundingBox: 4 630 559 834 tgifdict begin /tgifsavedpage save def 1 SM 1 W 0 SG 72 0 MU 72 11.602 MU TR 72 128 DI 100.000 MU 100 DI DU NE SC GS /tgiforigctm matrix currentmatrix def % TEXT NP /tgifstrw 0 def /tgifstrw tgifstrw /Courier FF [25 0 0 -25 0 0] MS (Method of characteristics network) TGSW add def 0 SG GS 30 5 TR [0.875 0.000 0.000 0.899 -2 0] CO 30 NE 5 NE TR GR GS 1 W 30 5 TR [0.875 0.000 0.000 0.899 -2 0] CO 0 20 M GS 0 SG /Courier FF [25 0 0 -25 0 0] MS (Method of characteristics network) SH GR GR % OVAL 0 SG NP 88 121 4 4 TGEL F GS GS NP 88 121 4 4 TGEL 3 W S GR GR % OVAL 0 SG NP 88 355 4 4 TGEL F GS GS NP 88 355 4 4 TGEL 3 W S GR GR % POLY/OPEN-SPLINE 0 SG GS NP 93 122 M 150 122 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 93 356 M 255 356 L TGSM 1 W S GR % POLYGON/CLOSED-SPLINE 0 SG GS 240 298 TR [0.000 -0.899 0.875 0.000 2 35] CO 240 NE 298 NE TR NP 240 313 M 275 298 L 310 313 L 275 328 L CP GS GR GS TGSM S GR GR % POLY/OPEN-SPLINE 0 SG GS 285 313 TR [0.000 -0.899 0.875 0.000 -34 -20] CO 285 NE 313 NE TR GS NP 285 313 M 285 323 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS 280 317 TR [0.000 -0.899 0.875 0.000 -25 -20] CO 280 NE 317 NE TR GS NP 280 317 M 290 317 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS 255 315 TR [0.000 -0.899 0.875 0.000 0 5] CO 255 NE 315 NE TR GS NP 255 315 M 265 315 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS NP 255 333 M 255 356 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 680 248 M 325 248 L 325 270 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 680 356 M 325 356 L 325 333 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 58 342 M -207 0 atan DU cos 8.000 MU 58 exch SU exch sin 8.000 MU 135 exch SU L TGSM 1 W S GR GS TGSM NP 58 135 8.000 3.000 0 -207 TGAT 1 SG CP F 0 SG NP 58 135 8.000 3.000 0 -207 TGAT CP F GR % TEXT NP 0 SG GS 10 199 TR [0.875 0.000 0.000 0.899 0 0] CO 10 NE 199 NE TR GR GS 1 W 10 199 TR [0.875 0.000 0.000 0.899 0 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (V\(0,t\)) SH GR GR % TEXT NP 0 SG GS 95 303 TR [0.875 0.000 0.000 0.899 -11 0] CO 95 NE 303 NE TR GR GS 1 W 95 303 TR [0.875 0.000 0.000 0.899 -11 0] CO 0 13 M GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (2V-\(t-T\)=) SH GR 0 16 RM GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (V\(L,t-T\)-ZcI\(L,t-T\)) SH GR GR % BOX 0 SG GS 10 SM GS NP 238 149 M 268 149 L 268 216 L 238 216 L CP S GR GR % POLY/OPEN-SPLINE 0 SG GS NP 150 122 M 253 122 L 253 149 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 255 270 M 255 216 L TGSM 1 W S GR % BOX 0 SG GS 10 SM GS NP 666 270 M 688 270 L 688 324 L 666 324 L CP S GR GR % POLY/OPEN-SPLINE 0 SG GS NP 680 270 M 680 248 L 680 257 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 680 356 M 680 324 L TGSM 1 W S GR % TEXT NP 0 SG GS 550 285 TR [0.875 0.000 0.000 0.899 -67 0] CO 550 NE 285 NE TR GR GS 1 W 550 285 TR [0.875 0.000 0.000 0.899 -67 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (Zc, T) SH GR GR % TEXT NP 0 SG GS 735 280 TR [0.875 0.000 0.000 0.899 -90 0] CO 735 NE 280 NE TR GR GS 1 W 735 280 TR [0.875 0.000 0.000 0.899 -90 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (Zc) SH GR GR % TEXT NP 0 SG GS 225 159 TR [0.875 0.000 0.000 0.899 -27 0] CO 225 NE 159 NE TR GR GS 1 W 225 159 TR [0.875 0.000 0.000 0.899 -27 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (Zc) SH GR GR % TEXT NP 0 SG GS 150 91 TR [0.875 0.000 0.000 0.899 -17 0] CO 150 NE 91 NE TR GR GS 1 W 150 91 TR [0.875 0.000 0.000 0.899 -17 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (I\(0,t\)) SH GR GR % POLY/OPEN-SPLINE 0 SG GS NP 680 122 M 325 122 L 325 144 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 680 230 M 325 230 L 325 198 L TGSM 1 W S GR % BOX 0 SG GS 10 SM GS NP 312 144 M 334 144 L 334 198 L 312 198 L CP S GR GR % POLY/OPEN-SPLINE 0 SG GS NP 680 144 M 680 122 L 680 131 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 680 230 M 680 207 L TGSM 1 W S GR % TEXT NP 0 SG GS 550 159 TR [0.875 0.000 0.000 0.899 -67 0] CO 550 NE 159 NE TR GR GS 1 W 550 159 TR [0.875 0.000 0.000 0.899 -67 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (Zc, T) SH GR GR % TEXT NP 0 SG GS 385 159 TR [0.875 0.000 0.000 0.899 -47 0] CO 385 NE 159 NE TR GR GS 1 W 385 159 TR [0.875 0.000 0.000 0.899 -47 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (Zc) SH GR GR % POLYGON/CLOSED-SPLINE 0 SG GS 320 298 TR [0.000 -0.899 0.875 0.000 -8 35] CO 320 NE 298 NE TR NP 320 313 M 355 298 L 390 313 L 355 328 L CP GS GR GS TGSM S GR GR % POLY/OPEN-SPLINE 0 SG GS 365 313 TR [0.000 -0.899 0.875 0.000 -44 -20] CO 365 NE 313 NE TR GS NP 365 313 M 365 323 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS 360 317 TR [0.000 -0.899 0.875 0.000 -35 -20] CO 360 NE 317 NE TR GS NP 360 317 M 370 317 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS 335 315 TR [0.000 -0.899 0.875 0.000 -10 5] CO 335 NE 315 NE TR GS NP 335 315 M 345 315 L TGSM 1 W S GR GR % POLYGON/CLOSED-SPLINE 0 SG GS 725 172 TR [0.000 -0.899 0.875 0.000 -59 35] CO 725 NE 172 NE TR NP 725 187 M 760 172 L 795 187 L 760 202 L CP GS GR GS TGSM S GR GR % POLY/OPEN-SPLINE 0 SG GS 770 187 TR [0.000 -0.899 0.875 0.000 -95 -20] CO 770 NE 187 NE TR GS NP 770 187 M 770 197 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS 765 191 TR [0.000 -0.899 0.875 0.000 -85 -20] CO 765 NE 191 NE TR GS NP 765 191 M 775 191 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS 740 189 TR [0.000 -0.899 0.875 0.000 -60 5] CO 740 NE 189 NE TR GS NP 740 189 M 750 189 L TGSM 1 W S GR GR % POLYGON/CLOSED-SPLINE 0 SG GS 825 289 TR [0.000 -0.899 0.875 0.000 -71 35] CO 825 NE 289 NE TR NP 825 304 M 860 289 L 895 304 L 860 319 L CP GS GR GS TGSM S GR GR % POLY/OPEN-SPLINE 0 SG GS 870 304 TR [0.000 -0.899 0.875 0.000 -107 -20] CO 870 NE 304 NE TR GS NP 870 304 M 870 314 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS 865 308 TR [0.000 -0.899 0.875 0.000 -98 -20] CO 865 NE 308 NE TR GS NP 865 308 M 875 308 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS 840 306 TR [0.000 -0.899 0.875 0.000 -73 5] CO 840 NE 306 NE TR GS NP 840 306 M 850 306 L TGSM 1 W S GR GR % POLY/OPEN-SPLINE 0 SG GS NP 767 324 M 767 347 L TGSM 1 W S GR % BOX 0 SG GS 10 SM GS NP 750 140 M 780 140 L 780 207 L 750 207 L CP S GR GR % POLY/OPEN-SPLINE 0 SG GS NP 767 261 M 767 207 L TGSM 1 W S GR % OVAL 0 SG NP 920 121 4 4 TGEL F GS GS NP 920 121 4 4 TGEL 3 W S GR GR % OVAL 0 SG NP 920 355 4 4 TGEL F GS GS NP 920 355 4 4 TGEL 3 W S GR GR % POLY/OPEN-SPLINE 0 SG GS NP 916 122 M 767 122 L 767 140 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 916 356 M 767 356 L 767 342 L TGSM 1 W S GR % POLY/OPEN-SPLINE 0 SG GS NP 942 342 M -207 0 atan DU cos 8.000 MU 942 exch SU exch sin 8.000 MU 135 exch SU L TGSM 1 W S GR GS TGSM NP 942 135 8.000 3.000 0 -207 TGAT 1 SG CP F 0 SG NP 942 135 8.000 3.000 0 -207 TGAT CP F GR % TEXT NP 0 SG GS 1080 204 TR [0.875 0.000 0.000 0.899 -134 0] CO 1080 NE 204 NE TR GR GS 1 W 1080 204 TR [0.875 0.000 0.000 0.899 -134 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (V\(L,t\)) SH GR GR % TEXT NP 0 SG GS 1005 91 TR [0.875 0.000 0.000 0.899 -124 0] CO 1005 NE 91 NE TR GR GS 1 W 1005 91 TR [0.875 0.000 0.000 0.899 -124 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (I\(L,t\)) SH GR GR % POLY/OPEN-SPLINE 0 SG GS NP 850 122 M 0 40 atan DU cos 8.000 MU 890 exch SU exch sin 8.000 MU 122 exch SU L TGSM 1 W S GR GS TGSM NP 890 122 8.000 3.000 40 0 TGAT 1 SG CP F 0 SG NP 890 122 8.000 3.000 40 0 TGAT CP F GR % POLY/OPEN-SPLINE 0 SG GS NP 98 122 M 0 48 atan DU cos 8.000 MU 146 exch SU exch sin 8.000 MU 122 exch SU L TGSM 1 W S GR GS TGSM NP 146 122 8.000 3.000 48 0 TGAT 1 SG CP F 0 SG NP 146 122 8.000 3.000 48 0 TGAT CP F GR % TEXT NP 0 SG GS 890 303 TR [0.875 0.000 0.000 0.899 -110 0] CO 890 NE 303 NE TR GR GS 1 W 890 303 TR [0.875 0.000 0.000 0.899 -110 0] CO 0 13 M GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (2V+\(t-T\)=) SH GR 0 16 RM GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (V\(0,t-T\)+ZcI\(0,t-T\)) SH GR GR % TEXT NP 0 SG GS 385 308 TR [0.875 0.000 0.000 0.899 -47 0] CO 385 NE 308 NE TR GR GS 1 W 385 308 TR [0.875 0.000 0.000 0.899 -47 0] CO 0 13 M GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (2V+) SH GR 0 16 RM GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (=V\(0,t\)+ZcI\(0,t\)) SH GR GR % TEXT NP 0 SG GS 620 178 TR [0.875 0.000 0.000 0.899 -76 0] CO 620 NE 178 NE TR GR GS 1 W 620 178 TR [0.875 0.000 0.000 0.899 -76 0] CO 0 13 M GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (2V-) SH GR 0 16 RM GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (=V\(L,t\)-ZcI\(L,t\)) SH GR GR % TEXT NP 0 SG GS 465 134 TR [0.875 0.000 0.000 0.899 -57 0] CO 465 NE 134 NE TR GR GS 1 W 465 134 TR [0.875 0.000 0.000 0.899 -57 0] CO 0 12 M GS 0 SG /Times-Roman FF [12 0 0 -12 0 0] MS (Delay line for -z travelling waves) SH GR GR % TEXT NP 0 SG GS 475 259 TR [0.875 0.000 0.000 0.899 -58 0] CO 475 NE 259 NE TR GR GS 1 W 475 259 TR [0.875 0.000 0.000 0.899 -58 0] CO 0 12 M GS 0 SG /Times-Roman FF [12 0 0 -12 0 0] MS (Delay line for +z travelling waves) SH GR GR % TEXT NP 0 SG GS 900 159 TR [0.875 0.000 0.000 0.899 -111 0] CO 900 NE 159 NE TR GR GS 1 W 900 159 TR [0.875 0.000 0.000 0.899 -111 0] CO 0 19 M GS 0 SG /Times-Roman FF [20 0 0 -20 0 0] MS (Zc) SH GR GR % TEXT NP 0 SG GS 650 285 TR [0.875 0.000 0.000 0.899 -80 0] CO 650 NE 285 NE TR GR GS 1 W 650 285 TR [0.875 0.000 0.000 0.899 -80 0] CO 0 13 M GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (2V+\(t-T\)) SH GR GR % TEXT NP 0 SG GS 415 146 TR [0.875 0.000 0.000 0.899 -51 0] CO 415 NE 146 NE TR GR GS 1 W 415 146 TR [0.875 0.000 0.000 0.899 -51 0] CO 0 13 M GS 0 SG /Courier FF [14 0 0 -14 0 0] MS (2V-\(t-T\)) SH GR GR % POLY/OPEN-SPLINE 0 SG GS NP 360 212 M -77 0 atan DU cos 8.000 MU 360 exch SU exch sin 8.000 MU 135 exch SU L TGSM 1 W S GR GS TGSM NP 360 135 8.000 3.000 0 -77 TGAT 1 SG CP F 0 SG NP 360 135 8.000 3.000 0 -77 TGAT CP F GR % POLY/OPEN-SPLINE 0 SG GS NP 640 338 M -72 0 atan DU cos 8.000 MU 640 exch SU exch sin 8.000 MU 266 exch SU L TGSM 1 W S GR GS TGSM NP 640 266 8.000 3.000 0 -72 TGAT 1 SG CP F 0 SG NP 640 266 8.000 3.000 0 -72 TGAT CP F GR % POLY/OPEN-SPLINE 0 SG GS [4 4] 0 SD NP 343 185 M 94 -70 atan DU cos 8.000 MU 273 exch SU exch sin 8.000 MU 279 exch SU L TGSM 1 W S [] 0 SD GR GS TGSM NP 273 279 8.000 3.000 -70 94 TGAT 1 SG CP F 0 SG NP 273 279 8.000 3.000 -70 94 TGAT CP F GR % POLY/OPEN-SPLINE 0 SG GS [4 4] 0 SD NP 697 293 M 0 44 atan DU cos 8.000 MU 741 exch SU exch sin 8.000 MU 293 exch SU L TGSM 1 W S [] 0 SD GR GS TGSM NP 741 293 8.000 3.000 44 0 TGAT 1 SG CP F 0 SG NP 741 293 8.000 3.000 44 0 TGAT CP F GR GR tgifsavedpage restore end showpage %%Trailer %MatchingCreationDate: Fri Nov 18 11:18:25 2016 %%DocumentFonts: Times-Roman %%+ Courier %%EOF