. "2"^^ . "Kraus, Michal" . . "2"^^ . . . "RIV/00216305:26230/07:PU73559!RIV08-MSM-26230___" . "Ljubljana" . . "RIV/00216305:26230/07:PU73559" . "[2AB0687B2EC2]" . "Adapting Power-Series Integration to Real-Time Simulation"@en . "Z(MSM0021630528)" . "978-3-901608-32-2" . "Adapting Power-Series Integration to Real-Time Simulation" . "Adapting Power-Series Integration to Real-Time Simulation"@cs . . . "Adapting Power-Series Integration to Real-Time Simulation" . "2007-09-09+02:00"^^ . "Simulation of physical systems using digital computers continues to play an ever increasing role in all aspects of today's technological society. In general the basis for simulation resides in mathematical models of the systems being simulated. In the case of continuous dynamic systems these models consist of either nonlinear ordinary or partial differential equations. The simulation of these systems and hence the simulation of the corresponding mathematical models
can be accomplished by numerical integration of the differential equations.
An original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way has been developed. Even though this method is not much preferred in the literature, experimental calculations have shown and theoretical analyses have verified that the accuracy and stability of the Taylor series method exceeds the currently used
algorithms for numerically solving differential equations.
It is the aim of the pa"@en . "Adapting Power-Series Integration to Real-Time Simulation"@cs . "26230" . . "Proceedings of the 6th EUROSIM Congress on Modelling and Simulation" . "Kunovsk\u00FD, Ji\u0159\u00ED" . . "Simulation of physical systems using digital computers continues to play an ever increasing role in all aspects of today's technological society. In general the basis for simulation resides in mathematical models of the systems being simulated. In the case of continuous dynamic systems these models consist of either nonlinear ordinary or partial differential equations. The simulation of these systems and hence the simulation of the corresponding mathematical models
can be accomplished by numerical integration of the differential equations.
An original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way has been developed. Even though this method is not much preferred in the literature, experimental calculations have shown and theoretical analyses have verified that the accuracy and stability of the Taylor series method exceeds the currently used
algorithms for numerically solving differential equations.
It is the aim of the pa" . . "Viena" . "115-120" . "Adapting Power-Series Integration to Real-Time Simulation"@en . "408526" . . "\u010Cl\u00E1nek popisuje vyu\u017Eit\u00ED modern\u00ED Taylorovy \u0159ady v teorii \u0159\u00EDzen\u00ED. Metoda je zaj\u00EDmav\u00E1 dynamicky se m\u011Bn\u00EDc\u00EDm integra\u010Dn\u00EDm krokem b\u011Bhem v\u00FDpo\u010Dtu. Rychlost t\u00E9to metody se d\u00E1 vyu\u017E\u00EDt v Real-Time aplikac\u00EDch. Re\u00E1ln\u00FD syst\u00E9m je \u0159\u00EDzen modelem, v n\u011Bm\u017E je tak\u00E9 specifikov\u00E1no cel\u00E9 \u0159\u00EDzen\u00ED. D\u00E1le se po\u010D\u00EDt\u00E1 v hardwarov\u00E9 implementaci t\u00E9to velmi slibn\u00E9 metody.
"@cs . "6"^^ . . . . "ARGE Simulation News" . . . . . "power-series, real-time simulation, diferential equation, controller"@en .