Merge pull request #197 from SciML/rebuild/b4b24f65

Rebuild content

Author: ChrisRackauckas

html/models/01-classical_physics.html

@@ -1,3 +1,9 @@
+---
+author: "Yingbo Ma, Chris Rackauckas"
+title: "Classical Physics Models"
+---
+
+
 If you're getting some cold feet to jump in to DiffEq land, here are some handcrafted differential equations mini problems to hold your hand along the beginning of your journey.
 
 ## First order linear ODE
@@ -229,6 +235,72 @@ sol = solve(double_pendulum_problem, Vern7(), abs_tol=1e-10, dt=0.05);
 ````
 
 
+````
+retcode: Success
+Interpolation: specialized 7th order lazy interpolation
+t: 302-element Array{Float64,1}:
+  0.0
+  0.05
+  0.1223079052234777
+  0.21763564439678446
+  0.32592132827555614
+  0.45428546205171927
+  0.609957416358271
+  0.7734779293497827
+  0.9540060574595153
+  1.1799033713407105
+  ⋮
+ 48.68829170708072
+ 48.90897270610238
+ 49.074198457665524
+ 49.26762992059672
+ 49.41331132773069
+ 49.58656471302393
+ 49.73635419325158
+ 49.929069338760755
+ 50.0
+u: 302-element Array{Array{Float64,1},1}:
+ [0.0, 1.0471975511965976, 0.0, 1.8849555921538759]
+ [0.05276815671595484, 1.071438957072351, 0.09384176137401032, 1.8607344940
+613866]
+ [0.13361722361756873, 1.1748571429557286, 0.2248435889699277, 1.7496025555
+94999]
+ [0.2537554611755441, 1.3400852896072526, 0.38108445951036796, 1.5187573131
+93717]
+ [0.40410119950098694, 1.4024410831505718, 0.5301603161398095, 1.2396279286
+879397]
+ [0.5728649474072226, 1.169954418422348, 0.6718502052458136, 0.985420423048
+6661]
+ [0.7088857697515267, 0.5369386864730226, 0.8084759913872458, 0.77868578782
+44005]
+ [0.7353785982784866, -0.19338512009518283, 0.9169953717631636, 0.529156767
+0987339]
+ [0.6472090513598847, -0.715269349725902, 0.9734453010510711, 0.05435804962
+99323]
+ [0.46935732113951517, -0.7327102879675962, 0.887866370720516, -0.862790816
+96396]
+ ⋮
+ [-0.67975290420246, 0.13973286964103626, -0.6514876665177031, 1.4454143327
+848226]
+ [-0.4549919175434134, 1.9015781454592204, -0.36771741048108453, 1.07270407
+51077042]
+ [-0.08586635119481108, 2.28552090644888, -0.19809628081445166, 1.112713727
+902364]
+ [0.2498746728460613, 1.030480739331191, 0.08577212263454681, 1.84513901689
+03863]
+ [0.3320815110176066, 0.25499621194857525, 0.3793211991189911, 2.0716610618
+98589]
+ [0.39238335257281043, 0.5691064464087552, 0.6955158132179681, 1.4770421393
+438187]
+ [0.5050439638383725, 0.8813133553208242, 0.8649801258453232, 0.79454052641
+52658]
+ [0.6711792406408479, 0.7375180832629122, 0.9459177363546021, 0.09015063400
+030744]
+ [0.7166955252930275, 0.5339053276716273, 0.9454344718959518, -0.0972716375
+5146666]
+````
+
+
 
 ````julia
 #Obtain coordinates in Cartesian Geometry
@@ -362,6 +434,72 @@ sol = solve(prob, Vern9(), abs_tol=1e-16, rel_tol=1e-16);
 ````
 
 
+````
+retcode: Success
+Interpolation: specialized 9th order lazy interpolation
+t: 92-element Array{Float64,1}:
+   0.0
+   0.002767153900836259
+   0.019390834923504494
+   0.12119935187168689
+   0.530301790748649
+   1.1815820951240696
+   1.9076818589199944
+   2.760621588805973
+   3.605356397694905
+   4.619986523154658
+   ⋮
+  91.46207401166643
+  92.80356604989571
+  93.85953574845666
+  95.06904060013457
+  96.26535461031364
+  97.42922082465732
+  98.66129338374192
+  99.77739539466218
+ 100.0
+u: 92-element Array{Array{Float64,1},1}:
+ [0.0, 0.1, 0.5, 0.0]
+ [0.0013835748315707893, 0.09999965542762242, 0.4999977028602053, -0.000249
+04536251688065]
+ [0.00969468838029096, 0.09998307727738429, 0.4998872044881803, -0.00174569
+51735989768]
+ [0.06042185852124362, 0.09933514655181921, 0.49560211524963727, -0.0110343
+31488800994]
+ [0.25058314954625777, 0.08601880052006405, 0.41888733977799825, -0.0574223
+4854837401]
+ [0.4444070725050881, 0.011729989621118292, 0.15861982132709898, -0.1786214
+7581375334]
+ [0.4473066382282281, -0.16320285100673101, -0.13126053699732168, -0.278919
+260652333]
+ [0.2584572479002514, -0.35063663280889906, -0.2790546850571461, -0.0991017
+7915852485]
+ [0.004597212445906916, -0.2765685142768536, -0.312548979741221, 0.26654022
+206668787]
+ [-0.2725985862807251, 0.0888755547420482, -0.17762619800611465, 0.36446229
+045208195]
+ ⋮
+ [-0.2114517878067161, 0.0730906156176862, -0.2152584827559103, 0.395877687
+0516688]
+ [-0.1651820081856587, 0.39689185721893394, 0.3024690065429725, 0.055847135
+94737721]
+ [0.1983089199690154, 0.31747189605713433, 0.2712578251378906, -0.205083319
+12354352]
+ [0.2589198172932789, -0.09448897836357471, -0.1423573171660115, -0.4186496
+601369496]
+ [0.012425073399517497, -0.4034830628308482, -0.22915816033577166, 0.016158
+45936515269]
+ [-0.23244506354682215, -0.08009238032616647, -0.15414702520990145, 0.42836
+918054426903]
+ [-0.18927473635920564, 0.34544617499081803, 0.2560388635086127, 0.20350117
+082002062]
+ [0.1741544372800989, 0.41603304066553226, 0.26940699405279905, -0.07855686
+343548968]
+ [0.2254464439669529, 0.3916330728294025, 0.18834406694149203, -0.141257764
+88921374]
+````
+
+
 
 ````julia
 # Plot the orbit
@@ -438,6 +576,73 @@ sol2 = solve(prob, KahanLi8(), dt=1/10);
 ````
 
 
+````
+retcode: Success
+Interpolation: 3rd order Hermite
+t: 1002-element Array{Float64,1}:
+   0.0
+   0.1
+   0.2
+   0.30000000000000004
+   0.4
+   0.5
+   0.6
+   0.7
+   0.7999999999999999
+   0.8999999999999999
+   ⋮
+  99.29999999999863
+  99.39999999999863
+  99.49999999999862
+  99.59999999999862
+  99.69999999999861
+  99.7999999999986
+  99.8999999999986
+  99.9999999999986
+ 100.0
+u: 1002-element Array{RecursiveArrayTools.ArrayPartition{Float64,Tuple{Arra
+y{Float64,1},Array{Float64,1}}},1}:
+ [0.5, 0.0][0.0, 0.1]
+ [0.497004124813899, -0.009071101031878595][0.049900082497367014, 0.0995482
+2053953173]
+ [0.488065986503409, -0.01856325999777532][0.09920263962777168, 0.098171713
+8550656]
+ [0.4733339415930383, -0.028870094978230895][0.1473200401467506, 0.09580835
+287880228]
+ [0.45305474121099776, -0.040331734000937175][0.1936844146808317, 0.0923591
+1550101675]
+ [0.4275722362076315, -0.0532114683862374][0.2377574398051348, 0.0876946285
+7458447]
+ [0.39732459499168415, -0.06767627591286327][0.279039924450448, 0.081663862
+02131776]
+ [0.36283926518715554, -0.08378216859669584][0.3170810117622551, 0.07410453
+631898412]
+ [0.3247249463611115, -0.10146505675930295][0.35148673325356056, 0.06485472
+395637552]
+ [0.2836600192614762, -0.12053752272622162][0.3819275865822665, 0.053765070
+97805092]
+ ⋮
+ [0.3573608346071073, 0.043775799566172786][0.018901094264629065, 0.4241854
+6702794857]
+ [0.35056546788922516, 0.01917894635581023][0.054352325047751296, 0.4273357
+603171658]
+ [0.3372619546371046, -0.00582469608876845][0.08879705585509527, 0.42800766
+78341491]
+ [0.317723101892544, -0.031415069954177][0.12159668542307678, 0.42615121224
+761354]
+ [0.2923883191107272, -0.057726485993246215][0.15214830714764738, 0.4217005
+4930538214]
+ [0.2618505981512214, -0.0848309469334548][0.17990076750513168, 0.414579396
+5132324]
+ [0.22683770400643935, -0.11272570532234003][0.2043691308538718, 0.40470792
+450133325]
+ [0.1881879739856503, -0.1413256709667938][0.22514698919068493, 0.392010653
+57989734]
+ [0.18818797398508524, -0.14132567096720045][0.2251469891909496, 0.39201065
+35796987]
+````
+
+
 
 
 
@@ -527,63 +732,42 @@ DiffEqTutorials.weave_file("models","01-classical_physics.jmd")
 
 Computer Information:
 ```
-Julia Version 1.4.0
-Commit b8e9a9ecc6 (2020-03-21 16:36 UTC)
+Julia Version 1.4.2
+Commit 44fa15b150* (2020-05-23 18:35 UTC)
 Platform Info:
-  OS: Windows (x86_64-w64-mingw32)
-  CPU: Intel(R) Core(TM) i7-4720HQ CPU @ 2.60GHz
+  OS: Linux (x86_64-pc-linux-gnu)
+  CPU: Intel(R) Core(TM) i7-9700K CPU @ 3.60GHz
   WORD_SIZE: 64
   LIBM: libopenlibm
-  LLVM: libLLVM-8.0.1 (ORCJIT, haswell)
+  LLVM: libLLVM-8.0.1 (ORCJIT, skylake)
 Environment:
-  JULIA_EDITOR = "C:\Users\sebastian\AppData\Local\atom\app-1.45.0\atom.exe"  -a
+  JULIA_DEPOT_PATH = /builds/JuliaGPU/DiffEqTutorials.jl/.julia
+  JULIA_CUDA_MEMORY_LIMIT = 536870912
+  JULIA_PROJECT = @.
   JULIA_NUM_THREADS = 4
 
 ```
 
 Package Information:
 
 ```
-Status `~\.julia\dev\DiffEqTutorials\Project.toml`
-[2169fc97-5a83-5252-b627-83903c6c433c] AlgebraicMultigrid 0.2.2
-[7e558dbc-694d-5a72-987c-6f4ebed21442] ArbNumerics 1.0.2
-[6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf] BenchmarkTools 0.5.0
-[be33ccc6-a3ff-5ff2-a52e-74243cff1e17] CUDAnative 3.0.1
-[159f3aea-2a34-519c-b102-8c37f9878175] Cairo 1.0.2
-[3a865a2d-5b23-5a0f-bc46-62713ec82fae] CuArrays 2.0.1
-[55939f99-70c6-5e9b-8bb0-5071ed7d61fd] DecFP 0.4.10
-[abce61dc-4473-55a0-ba07-351d65e31d42] Decimals 0.4.1
-[ebbdde9d-f333-5424-9be2-dbf1e9acfb5e] DiffEqBayes 2.1.1
-[eb300fae-53e8-50a0-950c-e21f52c2b7e0] DiffEqBiological 4.2.0
-[459566f4-90b8-5000-8ac3-15dfb0a30def] DiffEqCallbacks 2.12.1
-[f3b72e0c-5b89-59e1-b016-84e28bfd966d] DiffEqDevTools 2.18.0
-[9fdde737-9c7f-55bf-ade8-46b3f136cc48] DiffEqOperators 4.8.1
-[1130ab10-4a5a-5621-a13d-e4788d82bd4c] DiffEqParamEstim 1.13.0
-[055956cb-9e8b-5191-98cc-73ae4a59e68a] DiffEqPhysics 3.5.0
-[0c46a032-eb83-5123-abaf-570d42b7fbaa] DifferentialEquations 6.12.0
-[31c24e10-a181-5473-b8eb-7969acd0382f] Distributions 0.23.1
-[497a8b3b-efae-58df-a0af-a86822472b78] DoubleFloats 1.1.6
-[f6369f11-7733-5829-9624-2563aa707210] ForwardDiff 0.10.9
-[7073ff75-c697-5162-941a-fcdaad2a7d2a] IJulia 1.21.1
-[23fbe1c1-3f47-55db-b15f-69d7ec21a316] Latexify 0.12.3
-[c7f686f2-ff18-58e9-bc7b-31028e88f75d] MCMCChains 3.0.7
-[eff96d63-e80a-5855-80a2-b1b0885c5ab7] Measurements 2.1.1
-[961ee093-0014-501f-94e3-6117800e7a78] ModelingToolkit 1.4.2
-[2774e3e8-f4cf-5e23-947b-6d7e65073b56] NLsolve 4.3.0
-[429524aa-4258-5aef-a3af-852621145aeb] Optim 0.20.1
-[1dea7af3-3e70-54e6-95c3-0bf5283fa5ed] OrdinaryDiffEq 5.32.0
-[65888b18-ceab-5e60-b2b9-181511a3b968] ParameterizedFunctions 5.0.3
-[91a5bcdd-55d7-5caf-9e0b-520d859cae80] Plots 0.29.8
-[d330b81b-6aea-500a-939a-2ce795aea3ee] PyPlot 2.8.2
-[731186ca-8d62-57ce-b412-fbd966d074cd] RecursiveArrayTools 2.1.0
-[47a9eef4-7e08-11e9-0b38-333d64bd3804] SparseDiffTools 1.4.0
-[684fba80-ace3-11e9-3d08-3bc7ed6f96df] SparsityDetection 0.1.2
-[90137ffa-7385-5640-81b9-e52037218182] StaticArrays 0.12.1
-[f3b207a7-027a-5e70-b257-86293d7955fd] StatsPlots 0.14.2
-[c3572dad-4567-51f8-b174-8c6c989267f4] Sundials 3.9.0
-[1986cc42-f94f-5a68-af5c-568840ba703d] Unitful 1.0.0
-[44d3d7a6-8a23-5bf8-98c5-b353f8df5ec9] Weave 0.9.2
-[b77e0a4c-d291-57a0-90e8-8db25a27a240] InteractiveUtils
+Status `/builds/JuliaGPU/DiffEqTutorials.jl/tutorials/models/Project.toml`
+[eb300fae-53e8-50a0-950c-e21f52c2b7e0] DiffEqBiological 4.3.0
+[f3b72e0c-5b89-59e1-b016-84e28bfd966d] DiffEqDevTools 2.22.0
+[055956cb-9e8b-5191-98cc-73ae4a59e68a] DiffEqPhysics 3.2.0
+[0c46a032-eb83-5123-abaf-570d42b7fbaa] DifferentialEquations 6.14.0
+[31c24e10-a181-5473-b8eb-7969acd0382f] Distributions 0.23.4
+[587475ba-b771-5e3f-ad9e-33799f191a9c] Flux 0.10.4
+[f6369f11-7733-5829-9624-2563aa707210] ForwardDiff 0.10.11
+[23fbe1c1-3f47-55db-b15f-69d7ec21a316] Latexify 0.13.5
+[961ee093-0014-501f-94e3-6117800e7a78] ModelingToolkit 3.11.0
+[2774e3e8-f4cf-5e23-947b-6d7e65073b56] NLsolve 4.4.0
+[8faf48c0-8b73-11e9-0e63-2155955bfa4d] NeuralNetDiffEq 1.6.0
+[429524aa-4258-5aef-a3af-852621145aeb] Optim 0.21.0
+[1dea7af3-3e70-54e6-95c3-0bf5283fa5ed] OrdinaryDiffEq 5.41.0
+[91a5bcdd-55d7-5caf-9e0b-520d859cae80] Plots 1.4.4
+[731186ca-8d62-57ce-b412-fbd966d074cd] RecursiveArrayTools 2.5.0
+[789caeaf-c7a9-5a7d-9973-96adeb23e2a0] StochasticDiffEq 6.23.1
 [37e2e46d-f89d-539d-b4ee-838fcccc9c8e] LinearAlgebra
-[44cfe95a-1eb2-52ea-b672-e2afdf69b78f] Pkg
+[2f01184e-e22b-5df5-ae63-d93ebab69eaf] SparseArrays
 ```