# All Questions

8,082 questions
Filter by
Sorted by
Tagged with
4 views

### Deep learning using Distributed linear algebra

Is there any deep learning library based on Trillinos or Petsc linear algebra?
4 views

### Whether should we consider the condition number of the preconditioned matrix when choosing a preconditioner?

when we solve a large sparse linear system Ax=b, using preconditioned Krylov subspace methods,e.g., gmres, should we need to reduce the condition number of the coefficient matrix? In my opinion, we ...
14 views

### Getting started with Computational Chemistry

I´m now a chemistry grad student and I feel the need to get involved with computational chemistry and coding in the chemical field (in general). I have a very simple question: What is the best way to ...
16 views

22 views

### Divergence issues when using intrinsic cohesive elements approach

When I model the strain localisation of a microscopic sample (or say RVE ) with cohesive elements approach, the convergence performance looks very terrible. I have to use extremely time increments (...
32 views

### Shooting Method- Boundary value problem starting from -1 to 1

The equation is $\rho \frac{d \bar{u}}{dy} = -\frac{d\bar{p}}{dx} + \mu\frac{d^2\bar{u}}{dy^2}$ with boundary condition $u(-1)=0$ and $u(1)=1$ I am to solve it using fifth order runge-kutta ...
44 views

### implementation for coppersmith matrix multiplication

Is there any online implementation for the coppersmith matrix multiplication I have searched alot but can not find any? and if there is not any why is that Isn't this algotithm much faster than ...
72 views

### What is good practice for protecting parent scope variables in Fortran?

So I just picked up a project that is written in fortran90. I am used to coding in python and C. What is really troubling for me is the use of subroutines in fortran90. In fortran people use ...
55 views

37 views

### Value of $\gamma$ in the H-infinity norm

Suppose I have the system: $$\dot{x} = Ax+Bu\\ y=Cx+Du$$ and the following Hamiltonian matrix: $$H=\begin{pmatrix} A & \frac{1}{2}B^TB\\ -CC^T&-A \end{pmatrix}$$ I want to find the ...
23 views

### Book Recommendation: Analysis and design of mechanistic models - such as pharmacokinetics or hydrology models

I have been looking at an interesting book "Pharmacokinetic-Pharmacodynamic Modeling and Simulation" by Peter Bonate on pharmacokinetic models: the models of how medical drugs work their way through ...
54 views

Given a $k$-order polynomial in two variable $p(x, y)$ defined on a polygon domain $K$. And I want to numerically expand it to the following form $$p(x, y) = c_0 + c_1 x + c_2 y + c_3 x^2 + c_4 xy + ... 0answers 164 views ### Solving AXB + X\odot C = D matrix equation Can anyone see a way to solve this equation efficiently?$$AXB + X\odot C = D I tried a straightforward solution that involved vectorizing $X$ but that turned out too expensive for my application -...
I am trying to solve the 2D laplace equation, $\frac{\partial^2 T}{\partial x^2} + \frac{\partial^2 T}{\partial y^2} = 0; \qquad 0 \lt x \lt 1, \quad0 \lt y \lt 1$ Subjected to the boundary ...