Lecture 20

Manifest.toml

@@ -62,9 +62,9 @@ version = "0.0.4"
 
 [[ArrayInterface]]
 deps = ["LinearAlgebra", "Requires", "SparseArrays"]
-git-tree-sha1 = "4f1109cf20b2a31b5196f346bba07b2c61587442"
+git-tree-sha1 = "81e5dd1f5374aba2badfe967fc6a132c02ab471a"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "2.4.1"
+version = "2.5.0"
 
 [[ArrayLayouts]]
 deps = ["FillArrays", "LinearAlgebra"]
@@ -149,9 +149,9 @@ version = "0.2.1"
 
 [[ChainRulesCore]]
 deps = ["MuladdMacro"]
-git-tree-sha1 = "a60ff425e8a9834db18e6a60ad728519f234dc89"
+git-tree-sha1 = "840cdd255e267a4dfcb14cecd872facb2997a326"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "0.7.0"
+version = "0.7.1"
 
 [[Codecs]]
 deps = ["Test"]
@@ -225,10 +225,10 @@ uuid = "8f4d0f93-b110-5947-807f-2305c1781a2d"
 version = "1.4.1"
 
 [[Contour]]
-deps = ["LinearAlgebra", "StaticArrays", "Test"]
-git-tree-sha1 = "b974e164358fea753ef853ce7bad97afec15bb80"
+deps = ["StaticArrays"]
+git-tree-sha1 = "6d56f927b33d3820561b8f89d7de311718683846"
 uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
-version = "0.5.1"
+version = "0.5.2"
 
 [[CoordinateTransformations]]
 deps = ["Compat", "Rotations", "StaticArrays"]
@@ -269,19 +269,19 @@ uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 
 [[DelayDiffEq]]
 deps = ["DataStructures", "DiffEqBase", "LinearAlgebra", "Logging", "OrdinaryDiffEq", "Parameters", "Printf", "RecursiveArrayTools", "Reexport", "Roots"]
-git-tree-sha1 = "788abe1afd7acdf5015e2a0410a321270030a75b"
+git-tree-sha1 = "71ee0eba1f9301462f94f9b2c7c7c321a2d501c8"
 uuid = "bcd4f6db-9728-5f36-b5f7-82caef46ccdb"
-version = "5.21.0"
+version = "5.23.0"
 
 [[DelimitedFiles]]
 deps = ["Mmap"]
 uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
 
 [[DiffEqBase]]
 deps = ["ArrayInterface", "ChainRulesCore", "DataStructures", "Distributed", "DocStringExtensions", "FunctionWrappers", "IterativeSolvers", "IteratorInterfaceExtensions", "LinearAlgebra", "MuladdMacro", "Parameters", "Printf", "RecipesBase", "RecursiveArrayTools", "RecursiveFactorization", "Requires", "Roots", "SparseArrays", "StaticArrays", "Statistics", "SuiteSparse", "TableTraits", "TreeViews", "ZygoteRules"]
-git-tree-sha1 = "ac60bdc785530ecc650e9d511e7d928d3805bef6"
+git-tree-sha1 = "242055886f3712db6208e940e3ba3b863df2923f"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.18.1"
+version = "6.19.0"
 
 [[DiffEqCallbacks]]
 deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "NLsolve", "OrdinaryDiffEq", "RecipesBase", "RecursiveArrayTools", "StaticArrays"]
@@ -554,9 +554,9 @@ version = "0.6.9"
 
 [[ImageMagick]]
 deps = ["FileIO", "ImageCore", "ImageMagick_jll", "InteractiveUtils", "Libdl", "Pkg", "Random"]
-git-tree-sha1 = "6952114380957cbd5858164a909c0d5a1f902031"
+git-tree-sha1 = "0563e9b247de1d2950ebaf06971b1e771b0cd8ca"
 uuid = "6218d12a-5da1-5696-b52f-db25d2ecc6d1"
-version = "1.1.2"
+version = "1.1.3"
 
 [[ImageMagick_jll]]
 deps = ["JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pkg", "Zlib_jll", "libpng_jll"]
@@ -839,9 +839,9 @@ version = "0.11.4"
 
 [[OpenBLAS_jll]]
 deps = ["Libdl", "Pkg"]
-git-tree-sha1 = "adc45e596df7007d48bf6829efb1dc64fdec3ddc"
+git-tree-sha1 = "858f107d79a016d9511e34186fe2af11566ba762"
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.7+6"
+version = "0.3.7+7"
 
 [[OpenSpecFun_jll]]
 deps = ["CompilerSupportLibraries_jll", "Libdl", "Pkg"]
@@ -869,9 +869,9 @@ version = "0.3.0"
 
 [[PaddedViews]]
 deps = ["OffsetArrays"]
-git-tree-sha1 = "ec6add2adab1abc9a2dbf27912da3022b0c55592"
+git-tree-sha1 = "6619be66cd81258f6d7a391483bd5f93656d6772"
 uuid = "5432bcbf-9aad-5242-b902-cca2824c8663"
-version = "0.5.1"
+version = "0.5.2"
 
 [[Parameters]]
 deps = ["OrderedCollections"]
@@ -996,9 +996,9 @@ version = "1.0.0"
 
 [[Roots]]
 deps = ["Printf"]
-git-tree-sha1 = "dcc013908465ca1019b34b4bf547b6a187d195f9"
+git-tree-sha1 = "869a9990ec6347862d59040d00416ecd0683b965"
 uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
-version = "0.8.4"
+version = "1.0.0"
 
 [[Rotations]]
 deps = ["LinearAlgebra", "StaticArrays", "Statistics"]
@@ -1036,9 +1036,9 @@ version = "0.9.1"
 
 [[SingularIntegralEquations]]
 deps = ["ApproxFun", "ApproxFunBase", "ApproxFunFourier", "ApproxFunOrthogonalPolynomials", "ApproxFunSingularities", "BandedMatrices", "DomainSets", "DualNumbers", "HypergeometricFunctions", "LinearAlgebra", "LowRankApprox", "SpecialFunctions", "Test"]
-git-tree-sha1 = "b45f871f9d06446fa5d778d07762e6c334be003d"
+git-tree-sha1 = "9e16152baff2358e10d58001c9896c0436e48e62"
 uuid = "e094c991-5a90-5477-8896-c1e4c9552a1a"
-version = "0.6.1"
+version = "0.6.2"
 
 [[Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
@@ -1061,9 +1061,9 @@ uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [[SparseDiffTools]]
 deps = ["Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "InteractiveUtils", "LightGraphs", "LinearAlgebra", "Requires", "SparseArrays", "VertexSafeGraphs"]
-git-tree-sha1 = "f65937edd6d1e9ba48da16315c14c12568867dd6"
+git-tree-sha1 = "6429f706e7da24a8c1c5e0416c3f0ce9974ab991"
 uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
-version = "1.3.3"
+version = "1.4.0"
 
 [[SpecialFunctions]]
 deps = ["OpenSpecFun_jll"]
@@ -1083,9 +1083,9 @@ uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 
 [[StatsBase]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics"]
-git-tree-sha1 = "be5c7d45daa449d12868f4466dbf5882242cf2d9"
+git-tree-sha1 = "19bfcb46245f69ff4013b3df3b977a289852c3a1"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
-version = "0.32.1"
+version = "0.32.2"
 
 [[SteadyStateDiffEq]]
 deps = ["DiffEqBase", "DiffEqCallbacks", "LinearAlgebra", "NLsolve", "Reexport"]
@@ -1123,9 +1123,9 @@ version = "1.0.0"
 
 [[Tables]]
 deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "TableTraits", "Test"]
-git-tree-sha1 = "a54b8ce702aa863eced47bade03123d4dca0db84"
+git-tree-sha1 = "242b7fde70b8bc6a30d6476adf17ca3cf1ced6ee"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
-version = "1.0.2"
+version = "1.0.3"
 
 [[Test]]
 deps = ["Distributed", "InteractiveUtils", "Logging", "Random"]
@@ -1175,9 +1175,9 @@ version = "0.1.1"
 
 [[Weave]]
 deps = ["Base64", "Compat", "Dates", "Highlights", "JSON", "Markdown", "Mustache", "Printf", "REPL", "Requires", "Serialization", "YAML"]
-git-tree-sha1 = "a1698569cb25ddefb4bf538f39e77afdc7aa720e"
+git-tree-sha1 = "c80b1bfc82d19bc2dd0cd0579d08825d021b5b01"
 uuid = "44d3d7a6-8a23-5bf8-98c5-b353f8df5ec9"
-version = "0.9.1"
+version = "0.9.3"
 
 [[WebIO]]
 deps = ["AssetRegistry", "Base64", "Distributed", "FunctionalCollections", "JSON", "Logging", "Observables", "Pkg", "Random", "Requires", "Sockets", "UUIDs", "WebSockets", "Widgets"]

README.md

@@ -48,3 +48,4 @@ Examples of previous projects:
 17. [Logarithmic singular integrals](notes/Lecture17.pdf)
 18. [Logarithmic singular integral examples](notes/Lecture18.pdf)
 19. [Inverting logarithmic singular integrals](notes/Lecture19.pdf)
+20. [Orthogonal polynomials](notes/Lecture20.pdf)