# Questions tagged [grid]

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### How to optimally choose points for multivariable Hermite interpolation?

I have a multi-variate, continuous function $f$ from $R^n$ to $R$, which I can query for its output for any input. I would like to create interpolation polynomial for it. In one-dimensional case ...
59 views

### What is the reason for this finite-difference high errors on non-uniform grid?

tl;dr Using a Taylor-matched method to find coefficients for the discretized equation $\mathbf{A} \vec{f}'' = \mathbf{B} \vec{f}$, a Fortran code has been implemented to find the second derivative ...
108 views

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### Translating grid with extrusion speed

I am putting into MATLAB code the equations that describe a plastic extrusion process. From a paper, I found I should use a spatial grid that translates with the extrusion speed, being the reference ...
102 views

### Choice of velocity grid - staggered or not?

I'm trying to understand when and why one would use a staggered vs. a colocated grid in problems that have velocities and scalars that they transport (e.e. density). If scalars are defined cell-...
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### adaptive / smart grid choice for dynamic programming

I've a read a paper about investing where they used a dynamic programming approach to solve a finite horizon problem, i.e. $$\max_{x_t} E[u(W_T)]$$ where $u$ is a utility function and $W_T$ ...
141 views

### C1 continuous spline on regular 2D-grid with quadratic 1D cuts

I want some scalar spline function defined on regular 2D grid $F(x,y)$ with continuous first derivative which is easy to intersect with arbitrary ray/line ${\vec l}(t) = (c_x t,c_y t,c_z t)$. ...
125 views

### Finding boundary intersection points with Cartesian grid?

I would like to find the intersection points e.g. $M_x$ and $M_y$ as in the attached figure. The boundary (solid line) is defined by the Lagrangian points. I am working in C++ (basic - medium ...
19 views

### Grid Independence Study

Is the change in time step necessary for the grid independent study? As the CFL is based on the relation between dt and dx. In mesh independent study, only change should be mesh i.e, dx isn't it so?
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### A way to generate unit lattices from a honeycomb structure

I am looking to make certain computations on the vertices of periodic cubic honeycombs and quasiregular honeycombs like tetrahedral-octahedral honeycomb. Cubic are simple enough and amount to generate ...