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Jan
22
comment CPU usage ~18%, but Mathematica is fully running
If your CPU has multiple cores but your code is not parallel, then you will generally only use one core. (Unless you use some of the built-in functions that are already parallelized.)
Jan
22
comment Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
Fantastic! I for one am perfectly happy to provide an initial surface. @halirutan: For your curve one could simply form a "cone" by connecting all the points to the origin. I think that works for arbitrary curves, but I don't know if self-intersections will cause the result to get stuck in local minima.
Jan
21
awarded  Nice Question
Jan
21
comment Initial Value Problem with initial conditions as closed region
Another way to see all the solutions at once: ParametricPlot[{t, sol[p][t]}, {p, 0, 1}, {t, 0, 10}, Mesh -> {9, 0}] i.stack.imgur.com/YQ8EF.png
Jan
21
revised Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
incorrect definition of Scherk's first surface
Jan
21
asked Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
Jan
20
comment How can I make an linear breakdown chart similar to those seen on iCloud?
Have you tried reading the BarChart documentation? (See under Scope > Data and Layouts.)
Jan
20
comment Least effort to handle a point source inside the domain of PDE(s)
@user21: Sorry, I misread the documentation; I was looking for "IncludePoints" in the ToElementMesh documentation, but it's mentioned in ToBoundaryMesh instead. So that's my mistake. But there's another thing: If I just use mesh = ToElementMesh[Rectangle[{-1, -1}, {1, 1}], "IncludePoints" -> {{0, 0}}], it does place a node at {0,0} but it doesn't make it a boundary, so the node can't be used in DirichletSolve. It works if I set "MeshElementType" -> TriangleElement though.
Jan
19
awarded  Nice Answer
Jan
19
answered Discretizing regions with pointy boundaries
Jan
19
comment Least effort to handle a point source inside the domain of PDE(s)
@xzczd: Well, the Laplace equation approximates the displacement of an elastic membrane only when the gradient of the displacement is small. What you could argue is that in the limit as the displacement of the rod goes to zero, so does the relative size of the region it affects. The Laplace equation is a better model for heat distribution: if you stick an infinitely thin pin held at a constant warm temperature on a colder membrane, it won't heat up the membrane at all.
Jan
17
comment Creating a right hand in graphics3d to illustrate the right hand rule
Pick a format on this page and see the examples.
Jan
17
revised Least effort to handle a point source inside the domain of PDE(s)
added 104 characters in body
Jan
17
answered Least effort to handle a point source inside the domain of PDE(s)
Jan
17
comment Rasterized density plot with vector axes
What are "fixpolygons"? Perhaps you missed the second part of the answer I linked to, which explicitly deals with a smooth density plot.
Jan
16
comment Using a given colour table with Image?
For completeness, I'll point out that the built-in function for applying a colour map to a grayscale image is Colorize. This is about twice as fast as ArrayPlot, though of course not nearly as fast as Mr.Wizard's renderImage.
Jan
16
comment Rasterized density plot with vector axes
Related: Jens's contourDensityPlot with vector contours and raster density.
Jan
16
revised Rasterized density plot with vector axes
added 144 characters in body
Jan
16
revised NMaximize against LinearProgramming
added 6 characters in body
Jan
16
answered Inverse gradient operator