Author

I. S. Maksymov

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Open access Jan 2026

Ternary-valued finite-difference time-domain method: asymptotic agreement with the Yee scheme through noise-shaped quantisation

Abstract I show that finite-difference time-domain (FDTD) dynamics can be reproduced using field variables restricted to the ternary alphabet −1, 0, +1. The integration is carried out by a state accumulator, while quantisation is done by a second-order noise-shaped encoder with a separate error register. The Courant nu...

I. S. Maksymov · Open Transport · 0 citations

#small language model Preprint Aug 2026

Ternary-Valued Finite-Difference Time-Domain Method: Equiva-lence with the Yee Scheme Through Noise-Shaped Quantisation

It is demonstrated that finite-difference time-domain dynamics can be reproduced with field variables restricted to the ternary alphabet, and its extension to acoustics, Virieux-type elastodynamics and Schrodinger-equation solvers points to a broader class of quantised physics solvers for resource-constrained and speci...

I. S. Maksymov · 0 citations