The Parallel Digital Differential Analyzer and its Application as a Hybrid Computing System Element

SIMULATION ◽  
1965 ◽  
Vol 4 (2) ◽  
pp. 104-116 ◽  
Author(s):  
Otto A. Reichardt ◽  
Merlin W. Hoyt ◽  
W. Thad Lee
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Computing System ◽  
Unique Combination ◽  
Computing Systems ◽  
Hybrid Computing ◽  
Hybrid Element ◽  
Speed Accuracy ◽  
Differential Analyzer ◽  
Digital Computers

TRICE hybrid computing systems are currently in volved in aerospace simulations that are interesting and sophisticated. Indeed it would seem that these applications are so successful that an increasing wave of interest can be expected in such DDA applications. Unlike earlier DDA's, the parallel digital differential analyzer, we believe, combines more of the best fea tures of analog and digital machines: It boasts speed, accuracy, and ease of programming. Because the machine itself is entirely digital, it couples naturally and inexpensively with convention al digital computers. Unlike other digital machines with central memory and sequential operation, all elements of this DDA operate simultaneously, thus providing rapid solutions to nonlinear differential equations characteristic of analog computers. And like its analog cousin, our DDA is programmed read ily via a patchboard, by connecting its computing elements in direct correspondence to the elements of differential equations. In one sense, TRICE is more properly a hybrid— a unique combination of analog and digital machine characteristics—than are the combinations of analog and digital computers currently being interfaced. Yet it can also be connected with analog and/or digital computers. Here we would like to explain how TRICE works, compare its advantages as a hybrid element, and con clude with a review of some current applications.

scholarly journals Computational Load Balancing Method for Hybrid Computing Systems

2021 ◽  
Vol 24 (1) ◽  
pp. 42-56
Author(s):  
Татьяна Петровна Баранова ◽  
Александр Борисович Бугеря ◽  
Кирилл Николаевич Ефимкин
Keyword(s):  
Dynamic Problem ◽  
Computing System ◽  
Program Execution ◽  
Central Processor ◽  
Computing Systems ◽  
Hybrid Computing ◽  
Computational Load ◽  
Gas Dynamic ◽  
Applied Program ◽  
Automatic Balancing

The paper considers the issues of the computations distributing within one node of a hybrid computing system for applied programs with computation-intense operations. A method is proposed for static distribution of computations, as well as a method for automatic balancing of the computational load during program execution, which is based on periodic analyzing the CPU load by the executed program and making decision to redistribute computational load if necessary. The proposed methods are implemented in an applied program that solves a gas dynamic problem using the computing resources of the multicore central processor and graphics accelerators. The results of program execution with various data distributions were obtained and analyzed, both with and without the mechanism for automatic balancing of the computational load.

Tactileology, an innovative academic field in the tactile sense, based on Non-PC Computing Systems by using the Universal language in Nature

Impact ◽  
2020 ◽  
Vol 2020 (1) ◽  
pp. 12-17
Author(s):  
Yasuhiro Suzuki
Keyword(s):  
Programming Language ◽  
Computing System ◽  
Associate Professor ◽  
Natural Computing ◽  
Tactile Sense ◽  
Computing Systems ◽  
Academic Field ◽  
Universal Language ◽  
Digital Computers

Associate Professor Yasuhiro Suzuki of Nagoya University in Japan is the advocate of the innovative computing system that uses Humans or Nature as a "computing system" instead of using digital computers. Suzuki recognized that universal language in Nature is the tactile sense, and proposed Tactile Scores as a "programming language." Tactile Scores have used to develop Natural Computing systems in various fields, such as medicine, beauty, disability engineering, robotics, arts, design, and so on.

Electronic Analog Computer Solutions of Nonlinear Vibratory Systems of Two Degrees of Freedom

1956 ◽  
Vol 23 (4) ◽  
pp. 629-634
Author(s):  
C. P. Atkinson
Keyword(s):  
Differential Equations ◽  
Analytical Solutions ◽  
Nonlinear Differential Equations ◽  
Harmonic Approximation ◽  
Degree Of Freedom ◽  
Single Term ◽  
Approximate Analytical Solutions ◽  
Two Degree Of Freedom ◽  
Differential Analyzer ◽  
Vibrating Systems

Abstract The main contribution of this paper is its account of the use of an electronic differential analyzer for solving the exact differential equations of certain two-degree-of-freedom nonlinear vibrating systems, and the comparison of the differential-analyzer solutions with the approximate analytical solutions obtained from a single-term harmonic approximation (Ritz approximation). The results of these two methods for solving nonlinear differential equations compare favorably over much of the ranges of variables. Where discrepancies arise between the results of the two methods the value of the differential-analyzer approach can be practically appreciated. For example, in the region where superharmonics might be expected, the single-term harmonic approximation ignores them, while the analyzer solutions contain the superharmonic components of the exact solution. A secondary contribution of the paper is the account of the use of the differential analyzer for verification of suspected stability criteria for two-degree-of-freedom nonlinear vibrating systems. Analytical solutions that were reproducible on the analyzer were considered stable; those that were not reproducible were considered unstable. This paper also can be considered as a call for further application of modern computer techniques to the problems of nonlinear mechanics. Since the computer solves the exact or complete differential equations, the results are the complete solutions including transient phenomena, steady state, subharmonics, super-harmonics, and so on. These exact solutions are produced as functions of time which are analogous to the actual vibrations of the physical system studied.

Application of the exp(-φ)-expansion method to the Pochhammer-Chree equation

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3347-3354 ◽  
Author(s):  
Nematollah Kadkhoda ◽  
Michal Feckan ◽  
Yasser Khalili
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exact Solutions ◽  
Present Article ◽  
Analytical Solutions ◽  
Nonlinear Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Rational Functions ◽  
Expansion Method ◽  
Exponential Functions

In the present article, a direct approach, namely exp(-?)-expansion method, is used for obtaining analytical solutions of the Pochhammer-Chree equations which have a many of models. These solutions are expressed in exponential functions expressed by hyperbolic, trigonometric and rational functions with some parameters. Recently, many methods were attempted to find exact solutions of nonlinear partial differential equations, but it seems that the exp(-?)-expansion method appears to be efficient for finding exact solutions of many nonlinear differential equations.

scholarly journals Solving nonlinear differential equations with differentiable quantum circuits

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Oleksandr Kyriienko ◽  
Annie E. Paine ◽  
Vincent E. Elfving
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Quantum Circuits

scholarly journals Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current

2021 ◽  
Vol 23 (4) ◽  
Author(s):  
Jifeng Chu ◽  
Kateryna Marynets
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Topological Degree ◽  
Antarctic Circumpolar Current ◽  
Fixed Point Theorems ◽  
Nonlinear Differential Equations ◽  
Existence Results ◽  
Circumpolar Current ◽  
The Antarctic

AbstractThe aim of this paper is to study one class of nonlinear differential equations, which model the Antarctic circumpolar current. We prove the existence results for such equations related to the geophysical relevant boundary conditions. First, based on the weighted eigenvalues and the theory of topological degree, we study the semilinear case. Secondly, the existence results for the sublinear and superlinear cases are proved by fixed point theorems.

scholarly journals Evaluating the E-Health Cloud Computing Systems Adoption in Taiwan’s Healthcare Industry

Life ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 310
Author(s):  
Shih-Chia Chang ◽  
Ming-Tsang Lu ◽  
Tzu-Hui Pan ◽  
Chiao-Shan Chen
Keyword(s):  
Decision Making ◽  
Cloud Computing ◽  
Multiple Criteria Decision Making ◽  
Cloud Service ◽  
Computing System ◽  
Healthcare Industry ◽  
Computing Systems ◽  
Factors Affecting ◽  
Cloud Computing System ◽  
Health Cloud

Although the electronic health (e-health) cloud computing system is a promising innovation, its adoption in the healthcare industry has been slow. This study investigated the adoption of e-health cloud computing systems in the healthcare industry and considered security functions, management, cloud service delivery, and cloud software for e-health cloud computing systems. Although numerous studies have determined factors affecting e-health cloud computing systems, few comprehensive reviews of factors and their relations have been conducted. Therefore, this study investigated the relations between the factors affecting e-health cloud computing systems by using a multiple criteria decision-making technique, in which decision-making trial and evaluation laboratory (DEMATEL), DANP (DEMATEL-based Analytic Network Process), and modified VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje) approaches were combined. The intended level of adoption of an e-health cloud computing system could be determined by using the proposed approach. The results of a case study performed on the Taiwanese healthcare industry indicated that the cloud management function must be primarily enhanced and that cost effectiveness is the most significant factor in the adoption of e-health cloud computing. This result is valuable for allocating resources to decrease performance gaps in the Taiwanese healthcare industry.

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