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Displaying 1-13 out of 13 total
GPU Based Acceleration of Telegraph Equation
Found in: Computer Modeling and Simulation, International Conference on
By Václav Šimek, Michal Kraus, Jirí Kunovský, Jirí Petrek
Issue Date:April 2008
pp. 629-630
In a matter of just a few years, the programmable graphics processor unit has evolved into an absolute computing workhorse. With multiple cores driven by very high memory bandwidth, today's GPUs offer incredible resources for both graphics and non-graphics...
 
Multiple Arithmetic in Dynamic System Simulation
Found in: Computer Modeling and Simulation, International Conference on
By Václav Šátek, Jirí Kunovský, Jirí Petrek
Issue Date:April 2008
pp. 597-598
A very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potential of the Taylor series has been exposed by many practical experiments and a way of detection and soluti...
 
Multi-rate Integration and Modern Taylor Series Method
Found in: Computer Modeling and Simulation, International Conference on
By Jirí Kunovský, Martina Drozdová, Jirí Petrek, Pavla Sehnalová, František Zboril
Issue Date:April 2008
pp. 386-391
It is the aim of the paper to describe both new developed Modern Taylor Series Method (MTSM) and well-known multi-rate integration method in real-time simulations. An example is used to demonstrate methodology of both integration methods. To show how simpl...
 
Towards Accelerated Computation of Atmospheric Equations Using CUDA
Found in: Computer Modeling and Simulation, International Conference on
By Vaclav Simek, Radim Dvorak, Frantisek Zboril, Jiri Kunovsky
Issue Date:March 2009
pp. 449-454
Main objective of this paper is to outline possibleways how to achieve a substantial acceleration in caseof advection-diffusion equation (A-DE) calculation,which is commonly used for a description of thepollutant behavior in atmosphere. A-DE is a kind ofpa...
 
Technical Initial Problems and Automatic Transformation
Found in: Computational Intelligence, Modelling and Simulation, International Conference on
By Vlastimil Kaluža, Jan Kopriva, Jirí Kunovský, Pavla Sehnalová
Issue Date:September 2009
pp. 75-80
In this paper an outline is given of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. Then an extremely accurate and fast method for the numerical solution o...
 
Initial Problems with Polynomials on Right-hand Sides
Found in: Asia International Conference on Modelling & Simulation
By Jirí Kunovský,Vlastimil Kaluža,Michal Kraus,Václav Šátek
Issue Date:May 2009
pp. 182-187
The application of Taylor series has become a standard concept in numerical analysis. Their ability of approximating functions arbitrarily close under certain conditions makes them an ideal tool for the integration of differential equations. Before the app...
 
Methodology of the Taylor Series Based Computations
Found in: Asia International Conference on Modelling & Simulation
By Jirí Kunovský,Martina Drozdová,Jan Kopriva,Milan Pindryc
Issue Date:May 2009
pp. 206-211
In this paper an outline is presented of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. The idea of an extremely accurate and fast method for numerical sol...
 
Parallel Computations Based on Analogue Principles
Found in: Computer Modeling and Simulation, International Conference on
By Michal Kraus, Kaluža Vlastimil, Jirí Kunovsky, Václav Šátek
Issue Date:March 2009
pp. 111-116
It is the aim of the paper to give some of the basic philosophy of analogue computation before entering into a detailed discussion of the theory of analogue principles. The analogue technique has, in general, three control states; they are the reset, opera...
 
Automatic Method Order Settings
Found in: Computer Modeling and Simulation, International Conference on
By Václav Šátek, Jirí Kunovsky, Michal Kraus, Jan Kopriva
Issue Date:March 2009
pp. 117-122
Methods of numerical solutions of differential equations have been studied since the end of the last century. A large number of integration formulas have been published especially for solving special systems of differential equations. In general, it was no...
 
Taylor Series Numerical Integrator
Found in: Computer Modeling and Simulation, UKSIM European Symposium on
By Michal Kraus, Jiri Kunovsky, Vaclav Satek
Issue Date:September 2008
pp. 177-180
The simulation language TKSL and Modern Taylor Series Method has proved to be very powerful computing tools for extremely exact, stable and fast numerical solutions of systems of differential equations. In a natural way, TKSL also involves solutions of pro...
 
Accuracy and Word Width in TKSL
Found in: Computer Modeling and Simulation, UKSIM European Symposium on
By Vlastimil Kaluza, Michal Kraus, Jiri Kunovsky, Vaclav Satek
Issue Date:September 2008
pp. 153-158
Homogeneous differential equations with constant coefficients are analysed in the paper to show how extremely high accuracy and speed of computations can be obtained using Taylor series for numerical solutions of differential equations. Two examples of hom...
 
Semi-Analytical Computations Based on TKSL
Found in: Computer Modeling and Simulation, UKSIM European Symposium on
By Jan Kopriva, Michal Kraus, Jiri Kunovsky, Vaclav Satek
Issue Date:September 2008
pp. 159-164
The paper deals with semi-analytical computations and gives the examples of absolutely exact solutions that can be obtained using numerical solutions of differential equations. Numerical solutions of differential equations based on the Taylor series are im...
 
Taylor Series in Control Theory
Found in: Computer Modeling and Simulation, International Conference on
By Michal Kraus, Jirí Kunovský, Milan Pindryc, Václav Šátek
Issue Date:April 2008
pp. 378-379
An original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way has been developed. Experimental calculations have shown and theoretical analyses have verified that the accuracy and stability ...
 
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