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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"?
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