# Questions tagged [numerics]

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### Intel MKL results differ depending on the underlying hardware architecture [closed]

I think this is a well known problem that when using MKL_CBWR=AUTO, the results may differ across different hardware architecture due to the floating point ...
1 vote
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### Monotonicity of Errors with Respect to Step Sizes in Numerical Methods for PDEs

Consider a non-linear partial differential equation (PDE) (e.g., Burgers' equation) that is solved numerically using a finite difference method (or a similar approach). Suppose a grid search is ...
1 vote
38 views

### Using of elastic tangent for structural nonlinear solver

I noticed that some finite element programs, such as Plaxis, do not require the constitutive law to return the consistent tangent, but elastic tangent seems to be sufficient. In my experience, using ...
1 vote
111 views

### Different Results for Double Pendulum

In this study, (Hidden Fractals in the Dynamics of the Compound Double Pendulum) the authors provide various fliptime fractals (of a double pendulum) for different length combinations. However, when I ...
45 views

### Calculating a 2D Ewald sum for a multipolar expansion

I am attempting to calculate the potential of a particle at the center of an infinite two-dimensional lattice as per the following reference: Reference: Lambin, PH & Senet, P. Ewald Summation of ...
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### How to design a sin and an arcsin function such that arcsin(sin(x))=x, where x is a finite precision floating point number

As commonly known for programming on computer, if x is a finite precision floating-point number such as double/float in C language, arcsin(sin(x)) is usually not equal to x due to the numerical issue. ...
36 views

### Numerical Divergence of a Tensor Field in Spherical Coordinates

I want to calculate the divergence of a rank-2 tensor field $$\nabla \cdot T$$ defined on the surface of a sphere in spherical coordinates. As an example, let the field be given as follows : ...
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193 views

### Most promising reduced order modeling method

Many players in the field of engineering simulation software are investing on digital twinning and reduced order modeling techniques, meaning that the field bears potential. I was wondering if among ...