scholarly journals $\overline{\cal R}(3,4)=17$

10.37236/791 ◽  
2008 ◽  
Vol 15 (1) ◽  
Author(s):  
Paweł Prałat
Keyword(s):  
Asymptotic Behaviour ◽  
High Performance Computing ◽  
Upper Bound ◽  
High Performance ◽  
Open Problems ◽  
Ramsey Numbers ◽  
On Line ◽  
Performance Computing

In this paper, we consider the on-line Ramsey numbers $\overline{\cal R} (k,l)$ for cliques. Using a high performance computing networks, we 'calculated' that $\overline{\cal R}(3,4)=17$. We also present an upper bound of $\overline{\cal R}(k,l)$, study its asymptotic behaviour, and state some open problems.

scholarly journals High-performance computing environment: a review of twenty years of experiments in China

2016 ◽  
Vol 3 (1) ◽  
pp. 36-48 ◽  
Author(s):  
Zhiwei Xu ◽  
Xuebin Chi ◽  
Nong Xiao
Keyword(s):  
High Performance Computing ◽  
High Performance ◽  
The Internet ◽  
Computing Environment ◽  
Open Problems ◽  
Loosely Coupled ◽  
The Past ◽  
Important Open Problem ◽  
Computing Environments ◽  
Performance Computing

Abstract A high-performance computing environment, also known as a supercomputing environment, e-Science environment or cyberinfrastructure, is a crucial system that connects users’ applications to supercomputers, and provides usability, efficiency, sharing, and collaboration capabilities. This review presents important lessons drawn from China's nationwide efforts to build and use a high-performance computing environment over the past 20 years (1995–2015), including three observations and two open problems. We present evidence that such an environment helps to grow China's nationwide supercomputing ecosystem by orders of magnitude, where a loosely coupled architecture accommodates diversity. An important open problem is why technology for global networked supercomputing has not yet become as widespread as the Internet or Web. In the next 20 years, high-performance computing environments will need to provide zettaflops computing capability and 10 000 times better energy efficiency, and support seamless human-cyber-physical ternary computing.

scholarly journals Computational physics Using Python: Implementing Maxwell Equation for Circle Polarization

2011 ◽  
Vol 1 (1) ◽  
pp. 1
Author(s):  
M Madlazim ◽  
Bagus Jaya Santosa
Keyword(s):  
Operating System ◽  
High Performance Computing ◽  
Program Development ◽  
Maxwell Equation ◽  
Computer Algebra ◽  
High Performance ◽  
Computational Physics ◽  
On Line ◽  
Performance Computing ◽  
The Web

Python is a relatively new computing language, created by Guido van Rossum [A.S. Tanenbaum, R. van Renesse, H. van Staveren, G.J. Sharp, S.J. Mullender, A.J. Jansen, G. van Rossum, Experiences with the Amoeba distributed operating system, Communications of the ACM 33 (1990) 46–63; also on-line at http://www.cs.vu.nl/pub/amoeba/, which is particularly suitable for teaching a course in computational physics. There are two questions to be considered: (i) For whom is the course intended? (ii) What are the criteria for a suitable language, and why choose Python? The criteria include the nature of the application. High performance computing requires a compiled language, e.g., FORTRAN. For some applications a computer algebra, e.g., Maple, is appropriate. For teaching, and for program development, an interpreted language has considerable advantages: Python appears particularly suitable. Python‟s attractions include (i) its system of modules which makes it easy to extend, (ii) its excellent graphics (VPython module), (iii) its excellent on line documentation, (iv) it is free and can be downloaded from the web. Python and VPython will be described briefly, and some programs demonstrated numerical and animation of some phenomenal physics. In this article, we gave solution of circle polarization by solving Maxwell equation.

Electronic Communications: Education Via a Virtual Workshop

1997 ◽  
Vol 3 (1) ◽  
pp. 224-232
Author(s):  
Roslyn Leibensperger ◽  
Susan Mehringer ◽  
Anne Trefethen ◽  
Malvin Kalos
Keyword(s):  
United States ◽  
High Performance Computing ◽  
High Performance ◽  
The United States ◽  
Electronic Communications ◽  
On Line ◽  
High Performance Computer ◽  
Carry Over ◽  
Performance Computing

We have designed and implemented a virtual workshop, a workshop where the participants are distributed across the United States (and occasionally further afield), learning by interacting with their own computers. In this paper we will describe our virtual workshop design and what we have learned from the first three hundred participants. The topics covered in our virtual workshop, by the nature of our mission, relate to technical, high-performance computing. We will not go into any detail about the contents of the workshop but describe instead the structure and implementation that we believe carry over to many other topics of education. The virtual workshop is a self-paced course. In addition to the on-line materials, we provide consulting support and access to our high-performance computer the IBM SP2. 

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