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May
18
comment Choosing FEM element type and mesh refinement
@MichaelE2 Yes, I just found the QuadElement. However, am I to understand that I cannot force Mathematica to use a QuadElement on an irregular shape? It always defauls to a TriangleElement.
May
18
comment Choosing FEM element type and mesh refinement
@MichaelE2 Yes. But how can I ensure that "MeshRefinementFunction" allows me to specify regions of refinement? Also, the "MeshElementType" -> "TriangleElement": Are there other "MeshElementType" that aren't mentioned in the Help menu?
May
18
comment Choosing FEM element type and mesh refinement
@AlexeiBoulbitch I meant tri along CURVED boundaries and Quad everywhere else.
May
18
comment Choosing FEM element type and mesh refinement
@AlexeiBoulbitch yes, I forgot to mention that. Tri around the boundary and quads everywhere else. This refinement might not have physical significance but will serve only as an example.
May
18
comment Choosing FEM element type and mesh refinement
@Nasser I did that. However it pastes weird symbols. I'll try that again just to make sure. Thank you!
Feb
26
comment Changing FrameTicks of ListPlot
Thanks for your answer though! :) I still keep track of questions I started a few years ago ;)
Aug
25
comment Proving (self) similarity with Mathematica - Reccurrence Plots, Similarity Plots etc
@s.s.o That is an interesting point you make. I considered this later in 2012 but dropped the idea entirely as I had to defend and finish my PhD! Perhaps I will do this on an other day to include in my lectures! :) Thank you for your answer/comment!
Apr
28
comment NDSolve - sampling for result during the computation
@xzczd Didn't know one could do that. However, how would one control the time step size? I imagine it would be thro' MaxStepFraction or MaxStepSize?
Apr
25
comment NDSolve - sampling for result during the computation
I performed simulations on MD for my Master's degree and I am curious, if you don't mind. Are you simulating Argon? With periodic BCs? Is the eqn you are solving the convection-diffusion equation? In 2012 I had a similar question on SE and I am wondering if it would help you. Good luck!
Apr
24
comment NDSolve - sampling for result during the computation
May I ask if this molecular dynamics or some such? What is the physical phenomena that you are trying to model?
Apr
24
comment NDSolve - sampling for result during the computation
Have you tried [Mma's RandomVariate[...]](reference.wolfram.com/mathematica/ref/RandomVariate.html)? What does values do? Is there a reason you are using ExplicitEuler? You would benefit by letting Mathematica choose the solver automatically or use perhaps the magic-wand Method->"LSODA". Also, why not just let t range from 0 to a very large number (for long term behavior)?
Apr
20
comment How to solve this integral equation?
Could you share the numerical values of a, b, c and d? That may help.
Apr
20
comment Understanding of method for NDSolve
LSODA is similar to the LSODE (the "Livermore Solver for Ordinary Differential/Algebraic equations" or some such). It is composed of stiff and non-stiff methods which switch when stiffness is sensed. The LSODE itself uses the Adams-Moulton method for non-stiff regions and then switches to a variable step, variable order Backward Difference Formula (Euler's method, I think). You can find more information via google. The report by Hindmarsh is also available for download as a pdf file.
Apr
17
comment What are these strange shapes in my Plot3D[]?
@YungHummmma could you share your NIntegrate code?
Apr
17
comment What are these strange shapes in my Plot3D[]?
@YungHummmma Yes, I would suspect so.
Apr
16
comment What are these strange shapes in my Plot3D[]?
Are you plotting the result of an NDSolve operation? If that is the case, you are trying to perhaps probe a time step of your equation beyond the limits imposed by numerical stability/stiffness for the solver type being used. Conjecture, at best.
Apr
11
comment Solving a nonlinear, second order d.e. in Mathematica
@Funzies what was the error your received with NDSolve? I am trying to solve this with a stiff solver such as LSODA and I've been receiving an NDSolve::berr error
Apr
11
comment Solving a nonlinear, second order d.e. in Mathematica
@LeonidShifrin NDSolve stiffness, story of my life! I found that using Method->"LSODA". I let the "MaxDifferenceOrder" "float". Given your hightened understanding of this problem, do you have any comment on my positive experience with "LSODA"?
Sep
6
comment Modelling the effect of a structure on a “tsunami” (hyperbolic wave equation)
@Kuba Very interesting answer that was!
Sep
6
comment Modelling the effect of a structure on a “tsunami” (hyperbolic wave equation)
Very interesting! I'll see how this cranks out on my computer.