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
72
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活用プロダクトが目指してほしい未来
touyou
0
1.5k
メンター百物語 紡ぎ続けられる確かな情熱
touyou
0
250
これからの時代の『クリエイター』の生き方
touyou
0
39
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
80
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
1.4k
3年A組から学ぶ体験の作り方
touyou
0
1.9k
學問のすすめ
touyou
0
1.2k
粒子法について その1
touyou
0
140
Halloween Swimee 2017 ARKit ハンズオン
touyou
0
970
Other Decks in Programming
See All in Programming
Amazon Nova Reelの可能性
hideg
0
240
ISUCON14公式反省会LT: 社内ISUCONの話
astj
PRO
0
140
shadcn/uiを使ってReactでの開発を加速させよう!
lef237
0
370
ゼロからの、レトロゲームエンジンの作り方
tokujiros
3
1.1k
令和7年版 あなたが使ってよいフロントエンド機能とは
mugi_uno
12
5.9k
定理証明プラットフォーム lapisla.net
abap34
1
610
Scaling your build logic
antalmonori
1
130
watsonx.ai Dojo #6 継続的なAIアプリ開発と展開
oniak3ibm
PRO
0
250
Beyond ORM
77web
11
1.6k
React 19でお手軽にCSS-in-JSを自作する
yukukotani
5
590
Внедряем бюджетирование, или Как сделать хорошо?
lamodatech
0
970
“あなた” の開発を支援する AI エージェント Bedrock Engineer / introducing-bedrock-engineer
gawa
9
1.1k
Featured
See All Featured
Building Flexible Design Systems
yeseniaperezcruz
328
38k
A better future with KSS
kneath
238
17k
The Art of Delivering Value - GDevCon NA Keynote
reverentgeek
8
1.3k
Done Done
chrislema
182
16k
Scaling GitHub
holman
459
140k
How To Stay Up To Date on Web Technology
chriscoyier
790
250k
[Rails World 2023 - Day 1 Closing Keynote] - The Magic of Rails
eileencodes
33
2k
Producing Creativity
orderedlist
PRO
343
39k
Unsuck your backbone
ammeep
669
57k
Evolution of real-time – Irina Nazarova, EuRuKo, 2024
irinanazarova
6
510
What’s in a name? Adding method to the madness
productmarketing
PRO
22
3.2k
10 Git Anti Patterns You Should be Aware of
lemiorhan
PRO
656
59k
Transcript
ཻࢠ๏ೖ ͦͷ̎
ɾ̏ষʜ༷ʑͳԠ༻ྫ ɾ̐ষʜฒྻԽʹؔͯ͠ ཻࢠ๏ೖ ཻࢠ๏ೖͦͷ̎
φϏΤετʔΫεํఔࣜ ɾྲྀମͷӡಈํఔࣜ ɾV͕ɺH͕ॏྗՃ ɾЛ͕ີɺӈลͷୈೋ߲೪ੑ߲ Du Dt = 1 ⇢0 rP
+ ⌫r2u + g <latexit sha1_base64="yKPKKX6ok3LUNzgZae4Payddraw=">AAACP3icbVBLSwMxGMz6rPVV9eglWAShWHaLoBehaBGPFewDum3Jptk2NMkuSVYoy/4j/4R/wZvoyYs38erNtLsHbR0IGWa+4UvGCxlV2rZfrKXlldW19dxGfnNre2e3sLffVEEkMWnggAWy7SFFGBWkoalmpB1KgrjHSMsbX0/91gORigbiXk9C0uVoKKhPMdJG6hduXF8iHNdcj8dRksQ1nVyeppqTxK4cBT07cQXyGIL1kiuilPcqME2Uptcw6ReKdtmeAS4SJyNFkKHeL7y7gwBHnAiNGVKq49ih7sZIaooZSfJupEiI8BgNScdQgThR3Xj23wQeG2UA/UCaIzScqb8TMeJKTbhnJjnSIzXvTcV/PY/Pbdb+RTemIow0EThd7EcM6gBOy4QDKgnWbGIIwpKat0M8QqY8bSrPm1Kc+QoWSbNSduyyc3dWrF5l9eTAITgCJ8AB56AKbkEdNAAGj+AZvII368n6sD6tr3R0ycoyB+APrO8fxL+wyg==</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=">AAACQHicbVDNS8MwHE3n16xfU49eikOQiaMdgl6EoQc9VnAfsLYjzdItLE1Lkgqj7E/yn/Bf8CToxZM38erJtBuo1QcJj/fej1/y/JgSIU3zSSstLC4tr5RX9bX1jc2tyvZOW0QJR7iFIhrxrg8FpoThliSS4m7MMQx9ijv++DLzO3eYCxKxWzmJsRvCISMBQVAqqV+5sr3aOfIaDh9FTsAhSplXO2aeOU2zy3F020vHR9a0GMrF72C/UjXrZg7jL7HmpArmsPuVV2cQoSTETCIKhehZZizdFHJJEMVT3UkEjiEawyHuKcpgiIWb5h+eGgdKGRhBxNVh0sjVnxMpDIWYhL5KhlCORNHLxH89PyxslsGZmxIWJxIzNFscJNSQkZG1aQwIx0jSiSIQcaLebqARVA1J1bmuSrGKFfwl7UbdMuvWzUm1eTGvpwz2wD44BBY4BU1wDWzQAgjcg0fwDF60B+1Ne9c+ZtGSNp/ZBb+gfX4BZaevYw==</latexit> <latexit sha1_base64="mjElurW5PyLGDXCVu35LEx2uPNk=">AAACQHicbVDNS8MwHE3n16xfU49eikOQiaMdgl6EoQc9VnAfsLYjzdItLE1Lkgqj7E/yn/Bf8CToxZM38erJtBuo1QcJj/fej1/y/JgSIU3zSSstLC4tr5RX9bX1jc2tyvZOW0QJR7iFIhrxrg8FpoThliSS4m7MMQx9ijv++DLzO3eYCxKxWzmJsRvCISMBQVAqqV+5sr3aOfIaDh9FTsAhSplXO2aeOU2zy3F020vHR9a0GMrF72C/UjXrZg7jL7HmpArmsPuVV2cQoSTETCIKhehZZizdFHJJEMVT3UkEjiEawyHuKcpgiIWb5h+eGgdKGRhBxNVh0sjVnxMpDIWYhL5KhlCORNHLxH89PyxslsGZmxIWJxIzNFscJNSQkZG1aQwIx0jSiSIQcaLebqARVA1J1bmuSrGKFfwl7UbdMuvWzUm1eTGvpwz2wD44BBY4BU1wDWzQAgjcg0fwDF60B+1Ne9c+ZtGSNp/ZBb+gfX4BZaevYw==</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