Recent Advances in Scientific Computing and Partial Differential Equations

2003 ◽  
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Scientific Computing ◽  
Partial Differential ◽  
Recent Advances

scholarly journals Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-2 ◽  
Author(s):  
Maria Gandarias ◽  
Mariano Torrisi ◽  
Maria Bruzón ◽  
Rita Tracinà ◽  
Chaudry Masood Khalique
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Conservation Laws ◽  
Symmetry Groups ◽  
Partial Differential ◽  
Recent Advances

scholarly journals Using analog computers in today's largest computational challenges

2021 ◽  
Vol 19 ◽  
pp. 105-116
Author(s):  
Sven Köppel ◽  
Bernd Ulmann ◽  
Lars Heimann ◽  
Dirk Killat
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Energy Efficient ◽  
Large Scale ◽  
Scientific Computing ◽  
Analog Computer ◽  
Partial Differential ◽  
Technology Platform

Abstract. Analog computers can be revived as a feasible technology platform for low precision, energy efficient and fast computing. We justify this statement by measuring the performance of a modern analog computer and comparing it with that of traditional digital processors. General statements are made about the solution of ordinary and partial differential equations. Computational fluid dynamics are discussed as an example of large scale scientific computing applications. Several models are proposed which demonstrate the benefits of analog and digital-analog hybrid computing.

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