|KRAUS Michal, KUNOVSKÝ Jiří and VOPĚNKA Václav. Runge-Kutta Based Parallel Computations. MATHMOD VIENNA 2012 - 7th Vienna Conference on Mathematical Modelling. Vienna: ARGE Simulation News, 2012.|
|Original title:||Runge-Kutta Based Parallel Computations|
|Title (cs):||Paralelní výpočet Runge-Kutta metod|
|Book:||MATHMOD VIENNA 2012 - 7th Vienna Conference on Mathematical Modelling|
|Series:||Report no. S38|
|Publisher:||ARGE Simulation News|
|Dynamic modelling, Numerical solution of di erential equations, Runge-Kutta methods, Arithmetic logic unit|
|An important part of contemporary characteristic problems in science and technology is based on simulating and analysing complex systems such as economical models, weather|
forecast models or technology process control.
Solving most of those problems leads to complex set of linear and non-linear di fferential and partial di fferential equations with time changing parameters and large sets of algebraic and transcendental equations. For solving such problems with great emphasis on high accuracy or
high speed we need high-performance computer platforms.
The processor's clock frequency is slowly reaching it's physical limits. The increase of performance is now possible only by including multiple parallel computing units. This approach
is supported by form of some problems. It appears that contemporary sequential methods of solving some problems is not natural.