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As biology becomes numerically rigorous, its practitioners have no choice but to do the same.
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We also investigate numerically the rigorous error estimates derived in the linear setting, to determine whether they hold also for the non-linear case.
The methods are theoretically rigorous, numerically efficient, and practical for field implementation.
Optical coupling and light trapping in thin-film solar cells are studied numerically using the Rigorous Coupled Wave Analysis enhanced by the Modal Transmission Line theory.
Optical absorption in TF a-Si solar cells is studied numerically via the rigorous coupled wave analysis (RCWA) enhanced by the modal transmission line (MTL) theory.
This is a mathematically rigorous yet numerically economical approach to particle dynamics, describing time evolution of a particle ensemble undergoing simultaneous nucleation, coagulation, and surface growth.
The designed results are numerically verified by using the rigorous coupled-wave analysis method (RCWA) and the thin-film theory.
The aim of this work is to use the Jacobi collocation method to numerically solve the WSIAEs (1.1) and then a rigorous error analysis is provided in the weighted L 2 -norm which shows the spectral rate of convergence is attained.
Rigorous statistical measurements using stereological techniques as defined numerically in the Materials and Methods, revealed that the metastatic index for heterozygous mice was significantly lower than +/+ mice and homozygous nulls had a significantly lower metastatic index (total metastasis volume normalized to lung volume) than those containing one or no mutant alleles (Fig. 1D).
We numerically compute the diffraction of a plane wave by the grating by a rigorous coupled waves algorithm (RCWA).
However rigorous methods solving design and control simultaneously lead to challenging mathematical formulations which easily become intractable numerically and computationally.
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CEO of Professional Science Editing for Scientists @ prosciediting.com