diff options
Diffstat (limited to 'rk108.txt')
| -rw-r--r-- | rk108.txt | 187 |
1 files changed, 187 insertions, 0 deletions
diff --git a/rk108.txt b/rk108.txt new file mode 100644 index 0000000..2374007 --- /dev/null +++ b/rk108.txt @@ -0,0 +1,187 @@ + THE COEFFICIENTS OF RK10(8) TO 60 DIGITS
+ using the notation of Fehlberg, Bettis, Horn, et alia
+
+
+ k a[k]
+
+ 0 0.000000000000000000000000000000000000000000000000000000000000
+ 1 0.100000000000000000000000000000000000000000000000000000000000
+ 2 0.539357840802981787532485197881302436857273449701009015505500
+ 3 0.809036761204472681298727796821953655285910174551513523258250
+ 4 0.309036761204472681298727796821953655285910174551513523258250
+ 5 0.981074190219795268254879548310562080489056746118724882027805
+ 6 0.833333333333333333333333333333333333333333333333333333333333
+ 7 0.354017365856802376329264185948796742115824053807373968324184
+ 8 0.882527661964732346425501486979669075182867844268052119663791
+ 9 0.642615758240322548157075497020439535959501736363212695909875
+ 10 0.357384241759677451842924502979560464040498263636787304090125
+ 11 0.117472338035267653574498513020330924817132155731947880336209
+ 12 0.833333333333333333333333333333333333333333333333333333333333
+ 13 0.309036761204472681298727796821953655285910174551513523258250
+ 14 0.539357840802981787532485197881302436857273449701009015505500
+ 15 0.100000000000000000000000000000000000000000000000000000000000
+ 16 1.00000000000000000000000000000000000000000000000000000000000
+
+
+ k c[k]
+
+ 0 0.0333333333333333333333333333333333333333333333333333333333333
+ 1 0.0250000000000000000000000000000000000000000000000000000000000
+ 2 0.0333333333333333333333333333333333333333333333333333333333333
+ 3 0.000000000000000000000000000000000000000000000000000000000000
+ 4 0.0500000000000000000000000000000000000000000000000000000000000
+ 5 0.000000000000000000000000000000000000000000000000000000000000
+ 6 0.0400000000000000000000000000000000000000000000000000000000000
+ 7 0.000000000000000000000000000000000000000000000000000000000000
+ 8 0.189237478148923490158306404106012326238162346948625830327194
+ 9 0.277429188517743176508360262560654340428504319718040836339472
+ 10 0.277429188517743176508360262560654340428504319718040836339472
+ 11 0.189237478148923490158306404106012326238162346948625830327194
+ 12 -0.0400000000000000000000000000000000000000000000000000000000000
+ 13 -0.0500000000000000000000000000000000000000000000000000000000000
+ 14 -0.0333333333333333333333333333333333333333333333333333333333333
+ 15 -0.0250000000000000000000000000000000000000000000000000000000000
+ 16 0.0333333333333333333333333333333333333333333333333333333333333
+
+
+ k j ß[k,j]
+
+ 1 0 0.100000000000000000000000000000000000000000000000000000000000
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+ 2 1 1.45453440217827322805250021715664459117622483736537873607016
+ 3 0 0.202259190301118170324681949205488413821477543637878380814562
+ 3 1 0.000000000000000000000000000000000000000000000000000000000000
+ 3 2 0.606777570903354510974045847616465241464432630913635142443687
+ 4 0 0.184024714708643575149100693471120664216774047979591417844635
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+ 5 4 0.482713753678866489204726942976896106809132737721421333413261
+ 6 0 0.0859700504902460302188480225945808401411132615636600222593880
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+ 7 5 0.0325402621549091330158899334391231259332716675992700000776101
+ 7 6 -0.0595780211817361001560122202563305121444953672762930724538856
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+10 5 -0.0768813364203356938586214289120895270821349023390922987406384
+10 6 0.239527360324390649107711455271882373019741311201004119339563
+10 7 0.397774662368094639047830462488952104564716416343454639902613
+10 8 0.0107558956873607455550609147441477450257136782823280838547024
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+13 7 3.63937263181035606029412920047090044132027387893977804176229
+13 8 1.54822877039830322365301663075174564919981736348973496313065
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+13 10 -1.58350398545326172713384349625753212757269188934434237975291
+13 11 -1.71561608285936264922031819751349098912615880827551992973034
+13 12 -0.0244036405750127452135415444412216875465593598370910566069132
+14 0 -0.915176561375291440520015019275342154318951387664369720564660
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+16 7 0.930327845415626983292300564432428777137601651182965794680397
+16 8 1.77950959431708102446142106794824453926275743243327790536000
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+16 13 -0.259111214548322744512977076191767379267783684543182428778156
+16 14 -0.342758159847189839942220553413850871742338734703958919937260
+16 15 -0.675000000000000000000000000000000000000000000000000000000000
+
+
+ The estimate of the local truncation error is (1/360) h ( f(t1,x1)-f(t15,x15) )
\ No newline at end of file |