Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
粒子法について その2
Search
touyou
May 17, 2018
Programming
1
89
粒子法について その2
粒子法について その1の続編です。半陰解法から陽解法で変わる点、および並列化に役立つ手法を紹介しています。
touyou
May 17, 2018
Tweet
Share
More Decks by touyou
See All by touyou
生成AI時代のコンポーネントライブラリの作り方
touyou
1
330
生成AI活用プロダクトが目指してほしい未来
touyou
0
1.9k
メンター百物語 紡ぎ続けられる確かな情熱
touyou
0
290
これからの時代の『クリエイター』の生き方
touyou
0
70
しくじり先生〜とうようがLeaders7期生からL4S7期講師になるまでのプログラミング半生を振り返る
touyou
0
110
AWSサーバーレスが支える劇団ノーミーツのオンライン劇場ZA / AWS Dev Day Online 2021 C-5
touyou
0
1.5k
3年A組から学ぶ体験の作り方
touyou
0
2.2k
學問のすすめ
touyou
0
1.2k
粒子法について その1
touyou
0
160
Other Decks in Programming
See All in Programming
MCP連携で加速するAI駆動開発/mcp integration accelerates ai-driven-development
bpstudy
0
290
ZeroETLで始めるDynamoDBとS3の連携
afooooil
0
160
Android 15以上でPDFのテキスト検索を爆速開発!
tonionagauzzi
0
200
0から始めるモジュラーモノリス-クリーンなモノリスを目指して
sushi0120
0
280
Bedrock AgentCore ObservabilityによるAIエージェントの運用
licux
9
630
Webinar: AI-Powered Development: Transformiere deinen Workflow mit Coding Tools und MCP Servern
danielsogl
0
110
自作OSでDOOMを動かしてみた
zakki0925224
1
1.3k
kiroでゲームを作ってみた
iriikeita
0
160
Amazon Q CLI開発で学んだAIコーディングツールの使い方
licux
3
180
Flutter로 Gemini와 MCP를 활용한 Agentic App 만들기 - 박제창 2025 I/O Extended Seoul
itsmedreamwalker
0
130
バイブスあるコーディングで ~PHP~ 便利ツールをつくるプラクティス
uzulla
1
330
#QiitaBash TDDで(自分の)開発がどう変わったか
ryosukedtomita
1
360
Featured
See All Featured
Rebuilding a faster, lazier Slack
samanthasiow
83
9.1k
[RailsConf 2023] Rails as a piece of cake
palkan
56
5.8k
The Success of Rails: Ensuring Growth for the Next 100 Years
eileencodes
46
7.6k
Designing Dashboards & Data Visualisations in Web Apps
destraynor
231
53k
Build The Right Thing And Hit Your Dates
maggiecrowley
37
2.8k
[RailsConf 2023 Opening Keynote] The Magic of Rails
eileencodes
29
9.6k
How to train your dragon (web standard)
notwaldorf
96
6.2k
Performance Is Good for Brains [We Love Speed 2024]
tammyeverts
10
1k
The Pragmatic Product Professional
lauravandoore
36
6.8k
We Have a Design System, Now What?
morganepeng
53
7.7k
Faster Mobile Websites
deanohume
308
31k
Building a Modern Day E-commerce SEO Strategy
aleyda
43
7.4k
Transcript
ཻࢠ๏ೖ ͦͷ̎
ɾ̏ষʜ༷ʑͳԠ༻ྫ ɾ̐ষʜฒྻԽʹؔͯ͠ ཻࢠ๏ೖ ཻࢠ๏ೖͦͷ̎
φϏΤετʔΫεํఔࣜ ɾྲྀମͷӡಈํఔࣜ ɾV͕ɺH͕ॏྗՃ ɾЛ͕ີɺӈลͷୈೋ߲೪ੑ߲ Du Dt = 1 ⇢0 rP
+ ⌫r2u + g <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">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</latexit> <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">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</latexit> <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">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</latexit> <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">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</latexit>
ɾද໘ுྗ ɾߴ೪ੑྲྀମ ɾඇχϡʔτϯྲྀମ ɾཚྲྀ ɾϙϦΰϯน ൃలతػೳ ཻࢠ๏ೖͦͷ̎
ɾѹྗͷܭࢉཅղ๏Ͱߦ͏ ˣ ɾೖͷΈͰܭࢉՄೳ ˣ ɾฒྻԽ͕࣮͘͢͠ߦ͕͍࣌ؒ ཅղ๏ ཻࢠ๏ೖͦͷ̎
ཅղ๏ͷ֓ཁ ཻࢠ๏ೖͦͷ̎
ɾ৽͍͠ࢧํఔࣜ ɾDԻ ཅղ๏ͷ֓ཁ ཻࢠ๏ೖͦͷ̎ @P @⇢ = c2 <latexit sha1_base64="qdR5EHiA5ZlZQedVOGBa2v7hgvk=">AAACHHicbVDLSgMxFM34rPVVdekmWARXZaYIuhGKblxWsA/ojCWTZtrQPIYkI5RhPsCf8Bfc6t6duBXc+iVm2kG09UDgcM65uckJY0a1cd1PZ2l5ZXVtvbRR3tza3tmt7O23tUwUJi0smVTdEGnCqCAtQw0j3VgRxENGOuH4Kvc790RpKsWtmcQk4GgoaEQxMlbqV6p+pBBO/RgpQxGDzeyH+2okswt8V7cpt+ZOAReJV5AqKNDsV778gcQJJ8JghrTueW5sgjS/FjOSlf1EkxjhMRqSnqUCcaKDdPqZDB5bZQAjqewRBk7V3xMp4lpPeGiTHJmRnvdy8V8v5HObTXQepFTEiSECzxZHCYNGwrwpOKCKYMMmliCsqH07xCNk2zK2z7ItxZuvYJG06zXPrXk3p9XGZVFPCRyCI3ACPHAGGuAaNEELYPAAnsAzeHEenVfnzXmfRZecYuYA/IHz8Q1q7aJu</latexit>
<latexit sha1_base64="qdR5EHiA5ZlZQedVOGBa2v7hgvk=">AAACHHicbVDLSgMxFM34rPVVdekmWARXZaYIuhGKblxWsA/ojCWTZtrQPIYkI5RhPsCf8Bfc6t6duBXc+iVm2kG09UDgcM65uckJY0a1cd1PZ2l5ZXVtvbRR3tza3tmt7O23tUwUJi0smVTdEGnCqCAtQw0j3VgRxENGOuH4Kvc790RpKsWtmcQk4GgoaEQxMlbqV6p+pBBO/RgpQxGDzeyH+2okswt8V7cpt+ZOAReJV5AqKNDsV778gcQJJ8JghrTueW5sgjS/FjOSlf1EkxjhMRqSnqUCcaKDdPqZDB5bZQAjqewRBk7V3xMp4lpPeGiTHJmRnvdy8V8v5HObTXQepFTEiSECzxZHCYNGwrwpOKCKYMMmliCsqH07xCNk2zK2z7ItxZuvYJG06zXPrXk3p9XGZVFPCRyCI3ACPHAGGuAaNEELYPAAnsAzeHEenVfnzXmfRZecYuYA/IHz8Q1q7aJu</latexit> <latexit sha1_base64="qdR5EHiA5ZlZQedVOGBa2v7hgvk=">AAACHHicbVDLSgMxFM34rPVVdekmWARXZaYIuhGKblxWsA/ojCWTZtrQPIYkI5RhPsCf8Bfc6t6duBXc+iVm2kG09UDgcM65uckJY0a1cd1PZ2l5ZXVtvbRR3tza3tmt7O23tUwUJi0smVTdEGnCqCAtQw0j3VgRxENGOuH4Kvc790RpKsWtmcQk4GgoaEQxMlbqV6p+pBBO/RgpQxGDzeyH+2okswt8V7cpt+ZOAReJV5AqKNDsV778gcQJJ8JghrTueW5sgjS/FjOSlf1EkxjhMRqSnqUCcaKDdPqZDB5bZQAjqewRBk7V3xMp4lpPeGiTHJmRnvdy8V8v5HObTXQepFTEiSECzxZHCYNGwrwpOKCKYMMmliCsqH07xCNk2zK2z7ItxZuvYJG06zXPrXk3p9XGZVFPCRyCI3ACPHAGGuAaNEELYPAAnsAzeHEenVfnzXmfRZecYuYA/IHz8Q1q7aJu</latexit> <latexit sha1_base64="qdR5EHiA5ZlZQedVOGBa2v7hgvk=">AAACHHicbVDLSgMxFM34rPVVdekmWARXZaYIuhGKblxWsA/ojCWTZtrQPIYkI5RhPsCf8Bfc6t6duBXc+iVm2kG09UDgcM65uckJY0a1cd1PZ2l5ZXVtvbRR3tza3tmt7O23tUwUJi0smVTdEGnCqCAtQw0j3VgRxENGOuH4Kvc790RpKsWtmcQk4GgoaEQxMlbqV6p+pBBO/RgpQxGDzeyH+2okswt8V7cpt+ZOAReJV5AqKNDsV778gcQJJ8JghrTueW5sgjS/FjOSlf1EkxjhMRqSnqUCcaKDdPqZDB5bZQAjqewRBk7V3xMp4lpPeGiTHJmRnvdy8V8v5HObTXQepFTEiSECzxZHCYNGwrwpOKCKYMMmliCsqH07xCNk2zK2z7ItxZuvYJG06zXPrXk3p9XGZVFPCRyCI3ACPHAGGuAaNEELYPAAnsAzeHEenVfnzXmfRZecYuYA/IHz8Q1q7aJu</latexit>
มԽ͢Δͱ͜Ζ ཻࢠ๏ೖͦͷ̎ 1 ⇢0 2d 0n0 X j6=i Pk+1 j
Pk+1 i w(|r⇤ j r⇤ i |) = 1 t2 n⇤ i n0 n0 <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit>
มԽ͢Δͱ͜Ζ ཻࢠ๏ೖͦͷ̎ 1 ⇢0 2d 0n0 X j6=i Pk+1 j
Pk+1 i w(|r⇤ j r⇤ i |) = 1 t2 n⇤ i n0 n0 <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> <latexit sha1_base64="KsBHfA3vE/j+/XdkySXMek/+q74=">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</latexit> P⇤ = c2⇢ n⇤ n0 n0 Pk+1 = c2⇢ nk+1 n0 n0 <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">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</latexit> <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">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</latexit> <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">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</latexit> <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">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</latexit>
όέοτߏ ཻࢠ๏ೖͦͷ̎ ɾҰఆͷେ͖͞ͷ όέοτʹ͚Δ ɾ֤όέοτʹ ௨͠൪߸Λ;Δ
ϦϯΫϦετߏ ཻࢠ๏ೖͦͷ̎ ɾ࠷ݶͷใͰ όέοτͷதΛͭ ͜ͷόέοτͷ'JSTUʜ ͜ͷόέοτͷ-BTUʜ
ͷOFYUʜ ͷOFYUʜ ͷOFYUʜ ͷOFYUʜ
৽͍࣮͠ ཻࢠ๏ೖͦͷ̎
৽͍࣮͠ ཻࢠ๏ೖͦͷ̎ ཻࢠΛฒΔ ԾΛܭࢉ͢Δ ԾΛͬͯҠಈ͢Δ ඇѹॖ݅Λຬͨ͢Α͏ʹ ѹྗΛܭࢉ ҐஔͱΛ࠶ܭࢉ
৽͍࣮͠ ཻࢠ๏ೖͦͷ̎ ཻࢠΛฒΔ όέοτใΛߋ৽ ೪ੑ߲ॏྗ߲ͰԾͱԾҐஔ ࣮ࡍͷѹྗΛग़͢ ԾͷѹྗΛܭࢉ ࣮ࡍͷҐஔɾΛग़͢
݁Ռ ཻࢠ๏ೖͦͷ̎
݁Ռ ཻࢠ๏ೖͦͷ̎ ӄղ๏ʜ࣮ߦ࣌ؒTFD ཻࢠεςοϓ γϛϡϨʔγϣϯͨ࣌ؒ͠TFD ཅղ๏ʜ࣮ߦ࣌ؒTFD ཻࢠεςοϓ γϛϡϨʔγϣϯͨ࣌ؒ͠TFD ཅղ๏ 0QFO.1
ʜ࣮ߦ࣌ؒTFD ཻࢠεςοϓ γϛϡϨʔγϣϯͨ࣌ؒ͠TFD
݁Ռ ཻࢠ๏ೖͦͷ̎
࣍ճ ཻࢠ๏ೖͦͷ̎ ɾଞͷฒྻԽํ๏ʢDTDͰͷ࣮ߦؚΉʣ ɾҧ͏σʔλͰͷγϛϡϨʔγϣϯ ɾʢ.FUBMͰͷԠ༻ʁʣ