Questions on dealing with vector calculus functions of Mathematica such as Grad, Div, Curl, Laplacian and their representations in various coordinate systems.

learn more… | top users | synonyms

5
votes
0answers
209 views

Visualizing the Lagrange Multiplier Solution

This question is based on work in Susan Colley's Vector Calculus, 4th ed. The question is to find and classify critical points of $f(x,y,z)=3xy-4yz+5xz$ subject to the constraint ...
3
votes
0answers
45 views

Is there a 3D version of ListStreamPlot[] (analogous to ListVectorPlot3D[])

Is there is straightforward way to visualize streamlines given a series of discrete samples of a 3D vector field? There is a generalization of ListVectorPlot --> ...
3
votes
0answers
140 views

Complex boundary conditions and NDEigensystem

I am having difficulties implementing a Neumann value when numerically solving the Navier equation using NDEigensystem. The Navier equation is given by $\nabla^2 \vec u + (p^2 - 1) ...
2
votes
0answers
78 views

Derivative of vector dot product with respect to a vector

I have the expression: Transpose[gvecI, {2, 1}].x (m[1] + m[2]) gvecI and x are [3x1] ...
1
vote
0answers
41 views

Helmholtz-Hodge Decomposition

So I was recently getting familiar with the Helmholtz-Hodge Theorem, briefly (but decently) described by https://en.wikipedia.org/wiki/Helmholtz_decomposition and I was wondering whether there exists ...
1
vote
0answers
127 views

Using NMinimize to solve the Multi Commodity Flow problem

I have the following optimization problem and I was hoping to solve it with NMinimize. Unfortunately, I don't get the desired result. I would like to get an optimal vector for $d_{e}$. This is how ...
1
vote
0answers
160 views

Simple Jacobians, Gradients, etc. with arbitrary length vectors/matrices?

Is there any way (or a package built for it) can do simple operations with vectors and matricies of arbitrary size, but conforming extents? For the simplest example to test, given an arbitrary vector ...
0
votes
0answers
19 views

scaling parameters for vector-valued Non-linear optimization

I am trying to minimize a non-linear vector-valued function in Mathematica. As a test case, I try to minimize a function whose solution I know apriori. The problem is that one of the solutions is ...
0
votes
0answers
62 views

Transform NMinimze into LinearProgramming formulation

I have the following maximization problem that I currently try to solve with Minimize/NMinimize. Unfortunately, this kind of solution method takes really long for large systems of equations and ...