From 9adcb3a216e960e3d898c09523e287fe0d251e01 Mon Sep 17 00:00:00 2001 From: gconte23 <61422601+gconte23@users.noreply.github.com> Date: Tue, 5 Oct 2021 13:27:22 -0400 Subject: [PATCH 01/16] Syncing to switch computers --- dbvecs.mat | Bin 0 -> 1555 bytes .../time evolution examples.type.File.xml | 2 + .../1.type.DIR_SIGNIFIER.xml | 2 + ...umbbellTimeEvolutionDemo.mlx.type.File.xml | 6 ++ .../heatOnDumbbell.mlx.type.File.xml | 6 ++ .../lineTimeEvolutionDemo.mlx.type.File.xml | 6 ++ ...ollipopTimeEvolutionDemo.mlx.type.File.xml | 6 ++ .../starTimeEvolutionDemo.mlx.type.File.xml | 6 ++ ...-44c8-9c3b-d8c041cd946a.type.Reference.xml | 2 + .../@quantumGraph/addChebyshevCoordinates.m | 2 +- source/@quantumGraph/dotChebyshev.m | 2 +- source/chebyshev/clencurt.m | 10 +-- .../continuation/graphBifurcationDetector.m | 2 +- .../001/branch001/LambdaPerturbation.004.mat | Bin 0 -> 196 bytes .../001/branch001/LambdaPerturbation.006.mat | Bin 0 -> 196 bytes 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examples.type.File/dumbbellTimeEvolutionDemo.mlx.type.File.xml b/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/dumbbellTimeEvolutionDemo.mlx.type.File.xml new file mode 100644 index 00000000..80b5b161 --- /dev/null +++ b/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/dumbbellTimeEvolutionDemo.mlx.type.File.xml @@ -0,0 +1,6 @@ + + + + + \ No newline at end of file diff --git a/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/heatOnDumbbell.mlx.type.File.xml b/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/heatOnDumbbell.mlx.type.File.xml new file mode 100644 index 00000000..80b5b161 --- /dev/null +++ b/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/heatOnDumbbell.mlx.type.File.xml @@ -0,0 +1,6 @@ + + + + + \ 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b/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/lollipopTimeEvolutionDemo.mlx.type.File.xml @@ -0,0 +1,6 @@ + + + + + \ No newline at end of file diff --git a/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/starTimeEvolutionDemo.mlx.type.File.xml b/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/starTimeEvolutionDemo.mlx.type.File.xml new file mode 100644 index 00000000..80b5b161 --- /dev/null +++ b/resources/project/Root.type.Files/source.type.File/examples.type.File/time evolution examples.type.File/starTimeEvolutionDemo.mlx.type.File.xml @@ -0,0 +1,6 @@ + + + + + \ No newline at end of file diff --git a/resources/project/Root.type.ProjectPath/e6a4ab36-b927-44c8-9c3b-d8c041cd946a.type.Reference.xml b/resources/project/Root.type.ProjectPath/e6a4ab36-b927-44c8-9c3b-d8c041cd946a.type.Reference.xml new file mode 100644 index 00000000..0c8be5c7 --- /dev/null +++ b/resources/project/Root.type.ProjectPath/e6a4ab36-b927-44c8-9c3b-d8c041cd946a.type.Reference.xml @@ -0,0 +1,2 @@ + + \ No newline at end of file diff --git a/source/@quantumGraph/addChebyshevCoordinates.m b/source/@quantumGraph/addChebyshevCoordinates.m index 1a727dbd..fc61e173 100644 --- a/source/@quantumGraph/addChebyshevCoordinates.m +++ b/source/@quantumGraph/addChebyshevCoordinates.m @@ -20,7 +20,7 @@ function addChebyshevCoordinates(G,nxVec,ny) for k=1:nEdges nx=nxVec(k); - G.qg.Edges.x{k} = chebptsSecondKind(nx)'; + G.qg.Edges.x{k} = LVec(k)*chebptsSecondKind(nx)'; G.qg.Edges.y{k} = nan(nxVec(k),ny); end G.qg.Nodes.y=nan(nNodes,1); \ No newline at end of file diff --git a/source/@quantumGraph/dotChebyshev.m b/source/@quantumGraph/dotChebyshev.m index 5029e415..f7cadb7d 100644 --- a/source/@quantumGraph/dotChebyshev.m +++ b/source/@quantumGraph/dotChebyshev.m @@ -1,4 +1,4 @@ -function z = qgdotCheb(Phi,u1col,u2col) +function z = dotChebyshev(Phi,u1col,u2col) % Note this does absolutely no checking to determine if two columns are % compatible with the template Phi. It just surges ahead and returns an % error if it doesn't work diff --git a/source/chebyshev/clencurt.m b/source/chebyshev/clencurt.m index 9f413bb3..a5db692f 100644 --- a/source/chebyshev/clencurt.m +++ b/source/chebyshev/clencurt.m @@ -5,22 +5,20 @@ % with a Chebyshev discretization. Also produces the weights and % coefficients used in the Clenshaw-Curtis quadrature. -n = length(f); % Total number of discretization points (including end points?) +n = length(f); % Total number of discretization points including end points N = n-1; - -% % WEIGHTS: fast version I DONT THINK I NEED THE WEIGHTS!!!!!! +% % WEIGHTS % c = zeros(n,2); % c(1:2:n,1) = (2./[1 1-(2:2:N).^2 ])'; c(2,2) = 1; % f1 = real(ifft([c(1:n,:);c(N:-1:2,:)])); % w = L*([f1(1,1); 2*f1(2:N,1); f1(n,1)])/2; - % COEFFICENTS: a_k = int_0^pi f(cos(x))*cos(kx) dx theta = pi*(0:N)/N; dtheta = theta(2) - theta(1); -a0 = 2/pi * (dot(f,cos(0*theta)) - .5 *(f(1)*cos(0*theta(1)) + f(n)*cos(0*theta(n))) ) * dtheta; +a0 = 2/pi * (dot(f,cos(0*theta)) - .5 *(f(1)*cos(0*theta(1)) + f(n)*cos(0*theta(n)))) * dtheta; z = a0; eps = 10^(-16); maxk = 10^4; @@ -28,7 +26,7 @@ for k=2:maxk if mod(k,2)==0 % Picks out even indicies - ak = 2/pi * (dot(f,cos(k*theta)) - .5 *(f(1)*cos(k*theta(1)) + f(n)*cos(k*theta(n))) ) * dtheta; % 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examples/starTimeEvolution4DAEsDemo.mlx rename to source/examples/time evolution examples/starTimeEvolutionDemo.mlx From d29f145142fa170fc537f48b754b9a9c2bbc6456 Mon Sep 17 00:00:00 2001 From: Gracie Conte <61422601+gconte23@users.noreply.github.com> Date: Fri, 8 Oct 2021 10:15:44 -0400 Subject: [PATCH 02/16] Fixed issue with Chebyshev dot product --- documentation/continuationInstructions.mlx | Bin 749965 -> 495343 bytes ...-4901-ae3f-0511106fdf87.type.Reference.xml | 2 - source/@quantumGraph/dotChebyshev.m | 11 ++- source/chebyshev/clencurt.m | 6 -- source/chebyshev/clencurtWeights.m | 12 +++ .../001/branch001/LambdaPerturbation.004.mat | Bin 196 -> 0 bytes .../001/branch001/LambdaPerturbation.006.mat | Bin 196 -> 0 bytes .../001/branch001/LambdaPerturbation.009.mat | Bin 208 -> 0 bytes .../001/branch001/LambdaPerturbation.011.mat | Bin 196 -> 0 bytes source/data/dumbbell/001/branch001/LambdaVec | 12 --- source/data/dumbbell/001/branch001/NVec | 12 --- .../data/dumbbell/001/branch001/PhiColumn.001 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.002 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.003 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.004 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.005 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.006 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.007 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.008 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.009 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.010 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.011 | 54 ------------- .../data/dumbbell/001/branch001/PhiColumn.012 | 54 ------------- .../001/branch001/PhiPerturbation.004.mat | Bin 533 -> 0 bytes .../001/branch001/PhiPerturbation.006.mat | Bin 526 -> 0 bytes .../001/branch001/PhiPerturbation.009.mat | Bin 835 -> 0 bytes .../001/branch001/PhiPerturbation.011.mat | Bin 538 -> 0 bytes source/data/dumbbell/001/branch001/bifTypeVec | 12 --- .../data/dumbbell/001/branch001/dataDirNumber | 1 - source/data/dumbbell/001/branch001/eigNumber | 1 - .../dumbbell/001/branch001/initialization | 1 - source/data/dumbbell/001/branch001/k | 1 - .../data/dumbbell/001/branch001/options.mat | Bin 291 -> 0 bytes source/data/dumbbell/001/branch002/LambdaVec | 54 ------------- source/data/dumbbell/001/branch002/NVec | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.001 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.002 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.003 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.004 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.005 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.006 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.007 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.008 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.009 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.010 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.011 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.012 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.013 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.014 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.015 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.016 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.017 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.018 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.019 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.020 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.021 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.022 | 54 ------------- .../data/dumbbell/001/branch002/PhiColumn.023 | 54 ------------- 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a/resources/project/Root.type.ProjectPath/d6c4416b-d461-4901-ae3f-0511106fdf87.type.Reference.xml +++ /dev/null @@ -1,2 +0,0 @@ - - \ No newline at end of file diff --git a/source/@quantumGraph/dotChebyshev.m b/source/@quantumGraph/dotChebyshev.m index f7cadb7d..8c549cac 100644 --- a/source/@quantumGraph/dotChebyshev.m +++ b/source/@quantumGraph/dotChebyshev.m @@ -18,9 +18,14 @@ function z = edgeDotCheb(Phi,v1,v2,k) - - l = Phi.Edges.L(k); + f = v1.*v2; - z = clencurt(f,l); % Uses Clenshaw-Curtis quadrature to integrate + l = Phi.Edges.L(k); + w = clencurtWeights(length(f)); % Weights for Clenshaw-Curtis quadrature + z = l/2 * w' * f; % Clenshaw-Curtis quadrature + +% l = Phi.Edges.L(k); +% f = v1.*v2; +% z = clencurt(f,l); % Uses Clenshaw-Curtis quadrature to integrate end \ No newline at end of file diff --git a/source/chebyshev/clencurt.m b/source/chebyshev/clencurt.m index a5db692f..aad17a05 100644 --- a/source/chebyshev/clencurt.m +++ b/source/chebyshev/clencurt.m @@ -8,12 +8,6 @@ n = length(f); % Total number of discretization points including end points N = n-1; -% % WEIGHTS -% c = zeros(n,2); -% c(1:2:n,1) = (2./[1 1-(2:2:N).^2 ])'; c(2,2) = 1; -% f1 = real(ifft([c(1:n,:);c(N:-1:2,:)])); -% w = L*([f1(1,1); 2*f1(2:N,1); f1(n,1)])/2; - % COEFFICENTS: a_k = int_0^pi f(cos(x))*cos(kx) dx theta = pi*(0:N)/N; dtheta = theta(2) - theta(1); diff --git a/source/chebyshev/clencurtWeights.m b/source/chebyshev/clencurtWeights.m new file mode 100644 index 00000000..cfaebe57 --- /dev/null +++ b/source/chebyshev/clencurtWeights.m @@ -0,0 +1,12 @@ +function w = clencurtWeights(n) +% Determines the necessary weights used in the Clenshaw-Curtis quadrature. +% These weights can then be used to integrate a function f which has been +% discretized with n discretization points. + +N = n-1; +c = zeros(n,2); +c(1:2:n,1) = (2./[1 1-(2:2:N).^2 ])'; c(2,2) = 1; +f = real(ifft([c(1:n,:);c(N:-1:2,:)])); +w = ([f(1,1); 2*f(2:N,1); f(n,1)]); + +end \ No newline at end of file diff --git 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Small update to bifurcation code Bifurcation code now works with Chebyshev discretization. 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z6aWAK2mo(>=2F{=p9LI~?eZ^w_Y{Qt7HG5SNZVa#cBP4lH5%^-J==(d5Jl%>|D7*~^B1eVZqWxguR2p=mQsws$gWXlTjHmBom^w&gD{O~I|C&?fX8T6%?fF` z>>NC}&VmaHJc=gcxwIwTgNiuM)bb*^R8c6{V!z|G@;9yEjY{hJUf$)f>vOZguLLAC$@005j`3j+WE From e0dd4c187acf2ebba0073e2837b8e35368d41005 Mon Sep 17 00:00:00 2001 From: Gracie Conte <61422601+gconte23@users.noreply.github.com> Date: Fri, 17 Dec 2021 14:59:15 -0500 Subject: [PATCH 06/16] Fixing standard basis function Small change to Dirichlet case and added comments. --- source/@quantumGraph/ek.m | 7 +++++-- source/@quantumGraph/isDirichlet.m | 2 +- 2 files changed, 6 insertions(+), 3 deletions(-) diff --git a/source/@quantumGraph/ek.m b/source/@quantumGraph/ek.m index 85ac5f3b..8b1bb8ad 100644 --- a/source/@quantumGraph/ek.m +++ b/source/@quantumGraph/ek.m @@ -1,9 +1,12 @@ function ek = ek(G,node,k) +% Given a node (node) and kth edge affiliated with node, ek returns the standard +% basis vector coresponding to the discretization point of edge k based on +% it's orientation with respect to node. [~,nxC,nxTot] = G.nx; I = eye(nxTot); - [fullDegree,inOrOut,adjacentEdges] = G.fullDegreeEtc(node); + [~,inOrOut,adjacentEdges] = G.fullDegreeEtc(node); - if inOrOut(k) == 1 % If edge is incoming... + if inOrOut(k) == 1 % If edge is incoming... ek = I(nxC(adjacentEdges(k)+1),:); % ek gives us the last disc point on the edge else % If edges is outgoing... ek = I(nxC(adjacentEdges(k))+1,:); % ek gives us the first disc point on the edge diff --git a/source/@quantumGraph/isDirichlet.m b/source/@quantumGraph/isDirichlet.m index a2bb3416..f03961bf 100644 --- a/source/@quantumGraph/isDirichlet.m +++ b/source/@quantumGraph/isDirichlet.m @@ -3,5 +3,5 @@ if nargin==1 z = isnan(G.robinCoeff); else - z=isnan(G.robinCoeff(varargin{1})); + z = isnan(G.robinCoeff(varargin{1})); end \ No newline at end of file From b708c914b4e59e8221085a94df470897d52b2cbd Mon Sep 17 00:00:00 2001 From: Gracie Conte <61422601+gconte23@users.noreply.github.com> Date: Fri, 17 Dec 2021 15:01:19 -0500 Subject: [PATCH 07/16] Update ek.m description --- source/@quantumGraph/ek.m | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/source/@quantumGraph/ek.m b/source/@quantumGraph/ek.m index 8b1bb8ad..6a42996e 100644 --- a/source/@quantumGraph/ek.m +++ b/source/@quantumGraph/ek.m @@ -1,7 +1,7 @@ function ek = ek(G,node,k) % Given a node (node) and kth edge affiliated with node, ek returns the standard -% basis vector coresponding to the discretization point of edge k based on -% it's orientation with respect to node. +% basis vector coresponding to the discretization point of edge_k based on +% edge's orientation with respect to node. [~,nxC,nxTot] = G.nx; I = eye(nxTot); [~,inOrOut,adjacentEdges] = G.fullDegreeEtc(node); From 653ecfd532e40e28f7a558c81e601f4553e52ca5 Mon Sep 17 00:00:00 2001 From: Gracie Conte <61422601+gconte23@users.noreply.github.com> Date: Fri, 17 Dec 2021 15:09:24 -0500 Subject: [PATCH 08/16] Update robinCondition.m --- source/@quantumGraph/robinCondition.m | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/source/@quantumGraph/robinCondition.m b/source/@quantumGraph/robinCondition.m index dec8dc99..33844afa 100644 --- a/source/@quantumGraph/robinCondition.m +++ b/source/@quantumGraph/robinCondition.m @@ -1,11 +1,11 @@ function robin = robinCondition(G,node,D1matrix) -% Finds the Robin Condition for the given node +% Finds the discretized Robin Condition for the given node. alpha = G.robinCoeff; [fullDegree,inOrOut,adjacentEdges] = G.fullDegreeEtc(node); if G.isDirichlet(node) - robin = G.ek(node,adjacentEdges(1)); + robin = G.ek(node,1); else for k = 1:fullDegree c = inOrOut(k); From 61f976f505067d0da073a88f67870eb72bd408b5 Mon Sep 17 00:00:00 2001 From: Gracie Conte <61422601+gconte23@users.noreply.github.com> Date: Fri, 7 Jan 2022 14:20:44 -0500 Subject: [PATCH 09/16] Added JL operator demo and different time evolution method --- documentation/continuationInstructions.mlx | Bin 495456 -> 497072 bytes .../highFreqFilter.m.type.File.xml | 6 +++ .../timeEvolveDH.m.type.File.xml | 6 +++ .../HHBDetector.m.type.File.xml | 6 +++ .../HHBLocator.m.type.File.xml | 6 +++ .../constructMatricesChebyshev.m | 6 +-- source/@quantumGraph/timeEvolveDAE.m | 33 ++++++++----- source/@quantumGraph/timeEvolveDH.m | 15 ++++++ source/continuation/eigsJL.m | 45 ++++++++++++++++++ source/continuation/getGraphFcns.m | 11 +++-- source/examples/JLspectrumDemo.mlx | Bin 0 -> 120904 bytes .../chebDumbbellBifurcationDiagram.mlx | Bin 440198 -> 444028 bytes source/examples/poissonExample.mlx | Bin 4372 -> 4407 bytes .../dumbbellNLSDemo.mlx | Bin 63856 -> 184690 bytes .../dumbbellNLSDemo1.mlx | Bin 0 -> 152910 bytes .../dumbbellNLSDemo2.mlx | Bin 0 -> 213034 bytes .../dumbbellNLSUniformDemo.mlx | Bin 0 -> 41820 bytes .../lollipopSchrodingerDemo.mlx | Bin 43791 -> 179043 bytes .../starTimeEvolutionDemo.mlx | Bin 23617 -> 171383 bytes 19 files changed, 113 insertions(+), 21 deletions(-) create mode 100644 resources/project/Root.type.Files/source.type.File/@quantumGraph.type.File/highFreqFilter.m.type.File.xml create mode 100644 resources/project/Root.type.Files/source.type.File/@quantumGraph.type.File/timeEvolveDH.m.type.File.xml create mode 100644 resources/project/Root.type.Files/source.type.File/continuation.type.File/HHBDetector.m.type.File.xml create mode 100644 resources/project/Root.type.Files/source.type.File/continuation.type.File/HHBLocator.m.type.File.xml create mode 100644 source/@quantumGraph/timeEvolveDH.m create mode 100644 source/continuation/eigsJL.m create mode 100644 source/examples/JLspectrumDemo.mlx create mode 100644 source/examples/time evolution examples/dumbbellNLSDemo1.mlx create mode 100644 source/examples/time evolution examples/dumbbellNLSDemo2.mlx create mode 100644 source/examples/time evolution examples/dumbbellNLSUniformDemo.mlx diff --git a/documentation/continuationInstructions.mlx b/documentation/continuationInstructions.mlx index b6eff311a043c4b4137a95973528c582389be29a..c8a82640c0bbf6f68e471c86a0a3ab0666e7a696 100644 GIT binary patch delta 479652 zcma%=Q*)*b!)(KeF>xk#GMN|?+fF97ZTpICJh5#XcWm3XZG3Ol{sa4Lop*JuuIim^ z!rBVL+FLmI!83Agm|z$%GJ}S9IC5~JDPjyc)Iaw`(20rPg2u3)MAn34-~Nd-vc~R$ z$L>!JdN}u zu(M&N99)j+x4Uhb!RqFq9o&@NI{B$pg|_tWq#F3`^{FG>no(fCja~4iC7YZ=QF}Me zLfQKQwEUvsx0~rYetGt-%eO|TyhP0t{m`OI;U_Sidb<8Z3sUNgeTix2{Or=>Curu` zx~bf?V>9MBy0TyO98mE7(nSyH%IMcXuyz;(y$z1!yX}U(?3E-ieCc)^O~-Y+FTQz! 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