Detail publikace

# Taylor Series Numerical Integrator

Originální název

Taylor Series Numerical Integrator

Anglický název

Taylor Series Numerical Integrator

Jazyk

en

Originální abstrakt

The simulation language TKSL and Modern Taylor Series Method have 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 problems that can be converted to solving a system of differential equations. As an example, a solution of a set of simultaneous algebraic equations by system of differential equations is dealt with in the paper. The solution of a set of algebraic equations by differential equations represents a parallel computation when special units so called integrators are used. All the integrators are working in parallel, e.g. all integrators are controlled by the same algorithm of a numerical integration method. That is why, a parallel interpretation of integrators in a suitable hardware can be expected. We outline the design and implementation of an FPGAbased numerical integrator that will form the basis of our FPGA-based parallel hardware. A Numerical Integrator Simulator is used for simulation of a behavior of Taylor Series Numerical Integrator.

Anglický abstrakt

The simulation language TKSL and Modern Taylor Series Method have 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 problems that can be converted to solving a system of differential equations. As an example, a solution of a set of simultaneous algebraic equations by system of differential equations is dealt with in the paper. The solution of a set of algebraic equations by differential equations represents a parallel computation when special units so called integrators are used. All the integrators are working in parallel, e.g. all integrators are controlled by the same algorithm of a numerical integration method. That is why, a parallel interpretation of integrators in a suitable hardware can be expected. We outline the design and implementation of an FPGAbased numerical integrator that will form the basis of our FPGA-based parallel hardware. A Numerical Integrator Simulator is used for simulation of a behavior of Taylor Series Numerical Integrator.

Dokumenty

BibTex

``````
@inproceedings{BUT32116,
author="Michal {Kraus} and Jiří {Kunovský} and Václav {Šátek}",
title="Taylor Series Numerical Integrator",
annote="The simulation language TKSL and Modern Taylor Series Method have 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 problems that can be converted to solving a system of
differential equations. As an example, a solution of a set of simultaneous
algebraic equations by system of differential equations is dealt with in the
paper. The solution of a set of algebraic equations by differential equations
represents a parallel computation when special units so called integrators are
used. All the integrators are working in parallel, e.g. all integrators are
controlled by the same algorithm of a numerical integration method. That is why,
a parallel interpretation of integrators in a suitable hardware can be expected.
We outline the design and implementation of an FPGAbased numerical integrator
that will form the basis of our
FPGA-based parallel hardware. A Numerical Integrator Simulator is used for
simulation of a behavior of Taylor Series Numerical Integrator.",