This tag is for requests for books, papers, and citations.
2
votes
0answers
27 views
Progression of molecular dynamics simulation sizes
I'm looking for literature on the progression (year on year, or more fine-grained if possible) of Molecular Dynamics simulation sizes.
By simulation size I mean number of atoms, time step, total ...
2
votes
1answer
90 views
Where can I find a proof that the numerical sign problem is NP-hard?
I've reading up on the numerical sign problem, and how a general solution is NP-Hard. I can't seem to find a proof of this, though.
Does anyone know where I can find a proof that the numerical sign ...
4
votes
2answers
159 views
Introduction to computational science?
I'm a high school student interested in computational science, and I would like to learn more about it. This year I took AP Computer Science for that reason, but except for some very basic gambling ...
0
votes
1answer
136 views
Where do I find engineering problems to practice solving computationally?
I'm an engineer and I'm planning to get a bigger toolbox than Excel to solve difficult problems. I started learning Python (as that seems the script language to go for math intense jobs, and runs in ...
5
votes
4answers
153 views
Reference request: Rigorous analysis of algorithms for PDE and ODE
I'm interested in suggestions for book references on the subject of numerical PDE and ODE, in particular, a rigorous analysis of such methods in a manner written for professional mathematicians. It ...
2
votes
1answer
38 views
Modern alternatives to DRESOL Riccati solver
I am looking for a modern version or an alternative to the DRESOL package for differential matrix Riccati equations. The main issue that the original package uses single-precision type ...
1
vote
3answers
156 views
Recommendation for an introductory level book in computational physics?
I'm a physics undergrad, looking for a good introductory book on computational science, and numerical methods. Mostly I'm looking for applied books. (Simply because... in a theoretical book, if I ...
0
votes
0answers
38 views
boundary condition impact on the Fourier stability analysis
I am looking for some reference on the stability analysis of the finite difference scheme for the linear constant coefficient pde. I have a few books and I see how the Fourier analysis is used but ...
0
votes
1answer
98 views
software request for solving acoustic wave equation
I am searching some libraries or toolboxes (preferred MATLAB) for solving acoustic wave equation in heterogeneous media with time varying source term, i.e. $$\nabla^2 \psi(\vec{r},t) - ...
5
votes
1answer
65 views
Use Butterworth and Chebychev filters
I need to calculate frequency response, phase response and apply to signals the Butterworth, Chebychev1 and Chebychev2 band-pass filters.
I'm developing in C++ with Qt, and I'm looking for algorithms ...
5
votes
2answers
111 views
Is computational science recommended as part of the typical undergraduate curriculum every computer science department should teach?
Computational science remains uncommon in many computer science departments, particularly in universities without an engineering school. Is it not considered part of the standard computer science ...
2
votes
0answers
44 views
Conservative field mapping between two topologically disconnected surface meshes
Some background: the Front-Tracking method uses a triangular surface mesh to describe the boundary between two immiscible fluids. To deal with the breakup and coalescence of the fluid interface, ...
3
votes
2answers
108 views
Computing an orthogonal matrix subject to linear constraints
I am looking for a method to solve the matrix equation
$$ DXa = Xb $$
where $D\in \mathbb{R}^{n\times n}$ is diagonal, $a, b\in \mathbb{R}^{n}$ and $X$ is the unknown orthogonal $n\times n$ matrix ...
5
votes
2answers
142 views
How to find all complex roots of an equation in a domain
I am facing a problem where I want to find the complex roots of $f(z)=z-sin(z)=0$ numerically.
There are infinitely many roots of the function, but I am only interested in the $N$ closest to the ...
4
votes
2answers
63 views
What is the algorithm for computing block reflectors in xDLARFB
The theory behind computing a single Householder reflector to zero out part of a column of a matrix is pretty well described in Matrix Computations by Golub and Van Loan. However, the blocked ...
