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J. Kopriva, J. Kunovsky, F. Kocina, V. Satek, E. Talic:
"Numerical integration in the RNS";
in: "The Proceedings of the 12th Conference Informatics'2013", herausgegeben von: TU Kosice; Kosice, FEI TU v Kosiciach, Kosice, 2013, ISBN: 978-80-8143-127-2, 5 S.

The Residue Number System (RNS) usually uses
integer numbers. The computation is exact from this reason. As
some problems like solutions of ordinary differential equations
(ODEs) are unsolvable without modification, this paper proposes
a transformation from the integer binary RNS to the floating
point binary RNS. The computation using the floating point
numbers is exact after the transformation. Solutions of ODEs
are presented in the paper. One-step integration methods (Euler,
Heun, Runge-Kutta) are adapted to RNS to solve simple ODEs
with exact precision.