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Merge pull request #150 from JuliaDiffEq/nystrom
Add IRKN3 and tableaus for DPRKN6
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,136 @@ | ||
| struct DPRKN6ConstantCache{T,T2} <: OrdinaryDiffEqConstantCache | ||
| c1::T2 | ||
| c2::T2 | ||
| c3::T2 | ||
| c4::T2 | ||
| c5::T2 | ||
| a21::T | ||
| a31::T | ||
| a32::T | ||
| a41::T | ||
| a42::T | ||
| a43::T | ||
| a51::T | ||
| a52::T | ||
| a53::T | ||
| a54::T | ||
| a61::T | ||
| # a62::T | ||
| a63::T | ||
| a64::T | ||
| a65::T | ||
| b1::T | ||
| # b2::T | ||
| b3::T | ||
| b4::T | ||
| b5::T | ||
| # b6::T | ||
| bp1::T # bp denotes bprime | ||
| # bp2::T | ||
| bp3::T | ||
| bp4::T | ||
| bp5::T | ||
| bp6::T | ||
| btilde1::T | ||
| btilde2::T | ||
| btilde3::T | ||
| # btilde4::T | ||
| # btilde5::T | ||
| # btilde6::T | ||
| bptilde1::T | ||
| # bptilde2::T | ||
| bptilde3::T | ||
| bptilde4::T | ||
| bptilde5::T | ||
| bptilde6::T | ||
| end | ||
|
|
||
| Base.@pure function DPRKN6ConstantCache{T<:CompiledFloats,T2<:CompiledFloats}(::Type{T},::Type{T2}) | ||
| c1 = T2(0.12929590313670442) | ||
| c2 = T2(0.25859180627340883) | ||
| c3 = T2(0.67029708261548) | ||
| c4 = T2(0.9) | ||
| c5 = T2(1.0) | ||
| a21 = T(0.008358715283968025) | ||
| a31 = T(0.011144953711957367) | ||
| a32 = T(0.022289907423914734) | ||
| a41 = T(0.1454747428010918) | ||
| a42 = T(-0.22986064052264749) | ||
| a43 = T(0.3090349872029675) | ||
| a51 = T(-0.20766826295078997) | ||
| a52 = T(0.6863667842925143) | ||
| a53 = T(-0.19954927787234925) | ||
| a54 = T(0.12585075653062489) | ||
| a61 = T(0.07811016144349478) | ||
| a63 = T(0.2882917411897668) | ||
| a64 = T(0.12242553717457041) | ||
| a65 = T(0.011172560192168035) | ||
| b1 = T(0.07811016144349478) | ||
| b3 = T(0.2882917411897668) | ||
| b4 = T(0.12242553717457041) | ||
| b5 = T(0.011172560192168035) | ||
| bp1 = T(0.07811016144349478) | ||
| bp3 = T(3.220718367176496) | ||
| bp4 = T(3.203195646399356) | ||
| bp5 = T(0.11172560192168035) | ||
| bp6 = T(0.05) | ||
| btilde1 = T(1.0588592603704183) | ||
| btilde2 = T(-2.406751371924452) | ||
| btilde3 = T(1.8478921115540339) | ||
| bptilde1 = T(0.054605887939221276) | ||
| bptilde3 = T(0.46126678590362685) | ||
| bptilde4 = T(0.19588085947931266) | ||
| bptilde5 = T(0.38824646667783924) | ||
| bptilde6 = T(-0.1) | ||
| DPRKN6ConstantCache(c1, c2, c3, c4, c5, a21, a31, a32, a41, a42, a43, a51, a52, a53, a54, a61, a63, a64, a65, b1, b3, b4, b5, bp1, bp3, bp4, bp5, bp6, btilde1, btilde2, btilde3, bptilde1, bptilde3, bptilde4, bptilde5, bptilde6) | ||
| end | ||
|
|
||
| function DPRKN6ConstantCache(T::Type,T2::Type) | ||
| R = sqrt(big(8581)) | ||
| c1 = T2((209-R)/900) | ||
| c2 = T2((209-R)/450) | ||
| c3 = T2((209+R)/450) | ||
| c4 = T2(9//10) | ||
| c5 = T2(1) | ||
| a21 = T((26131-209R)/81_0000) | ||
| a31 = T((26131-209R)/60_7500) | ||
| a32 = T((26131-209R)/30_3750) | ||
| a41 = T((980403512254+7781688431R)/116944_6992_1875) | ||
| a42 = T(-(126288_4486208+153854_81287R)/116944_6992_1875) | ||
| a43 = T((7166_233_891_441+786_945_632_99R)/46_777_879_687_500) | ||
| a51 = T(-9(329260+3181R)/2704_0000) | ||
| a52 = T(27(35129+3331R)/1352_0000) | ||
| a53 = T(-27(554358343+31040327R)/46406048_0000) | ||
| a54 = T(153(8555_257-67973R)/274592_0000) | ||
| a61 = T(329//4212) | ||
| # a62 = T(0) | ||
| a63 = T((8411_9543+366_727R)/4096_22616) | ||
| a64 = T((8411_9543-366_727R)/4096_22616) | ||
| a65 = T(200//17901) | ||
| b1 = T(329//4212) | ||
| # b2 = T(0) | ||
| b3 = a63 | ||
| b4 = a64 | ||
| b5 = T(200//17901) | ||
| # b6 = T(0) | ||
| bp1 = b1 | ||
| # bp2 = b2 | ||
| bp3 = T((32_8922_5579+96856R)/10_2405_6540) | ||
| bp4 = T((32_8922_5579-96856R)/10_2405_6540) | ||
| bp5 = T(2000//17901) | ||
| bp6 = T(1//20) | ||
| btilde1 = T((2701+23R)/4563) | ||
| btilde2 = T(-(9829+131R)/9126) | ||
| btilde3 = T(5(1798+17R)/9126) | ||
| # btilde4 = T(0) | ||
| # btilde5 = T(0) | ||
| # btilde6 = T(0) | ||
| bptilde1 = T(115//2106) | ||
| # btildep2 = T(0) | ||
| bptilde3 = T((8411_9543+366_727R)/2560_14135) | ||
| bptilde4 = T((8411_9543-366_727R)/2560_14135) | ||
| bptilde5 = T(6950//17901) | ||
| bptilde6 = T(-1//10) | ||
| DPRKN6ConstantCache(c1, c2, c3, c4, c5, a21, a31, a32, a41, a42, a43, a51, a52, a53, a54, a61, a63, a64, a65, b1, b3, b4, b5, bp1, bp3, bp4, bp5, bp6, btilde1, btilde2, btilde3, bptilde1, bptilde3, bptilde4, bptilde5, bptilde6) | ||
| end | ||
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