Sentence examples for rigorous derivation for from inspiring English sources

Zhang and Ayala (2014a) subsequently provided rigorous derivation for the rescaling approach.

In this paper we give the first rigorous derivation for the well-known asymptotics for that problem.

Zhang and Ayala (2014a) provided rigorous derivation for the density-based approach and improved the methods for analyzing data at variable pressure drawdown/rate at decline stage (Ayala and Zhang 2013; Zhang and Ayala 2014b).

A rigorous derivation of these equations for the assumed base-flow is given, which compared to its non-reacting counterpart includes additional terms related to variable-density flows.

A rigorous derivation of the correlation functions for this model is given using the Boson-Fermion correspondence.

As the existence of the higher-order derivatives of the solution is not supposed, we need to use the difference quotient for the rigorous derivation of the higher-order estimates.

Zimmerman et al. (1993) demonstrated the rigorous derivation of Eq. 1 and the shape factor for a slab-like matrix blocks.

This study presents a rigorous derivation of a gas interporosity flow equation that accounts for the effects of such pressure-sensitive properties.

Based on the monolithic setting, we develop algorithms for temporal adaptivity that are based on a rigorous derivation of dual-weighted sensitivity measures and heuristic truncation-based time step control.

The chapter provides rigorous derivation of the negative differential conductance.

In this study, we report a rigorous derivation of the relation between the spatially averaged consumption speed and the absolute flame speed for spherically expanding flame configurations.