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We present both methods in the same mathematical framework and compare their numerical performance.
Both the mathematical framework and numerical analysis are presented to demonstrate the effectiveness of the new approach.
Bhalla, A. P. S., Bale, R., Griffith, B. E. & Patankar, N. A. A unified mathematical framework and an adaptive numerical method for fluid-structure interaction with rigid, deforming, and elastic bodies.
We develop mathematical framework and computational tools for calculating frequency responses of linear time-invariant PDEs in which an independent spatial variable belongs to a compact interval.
The model presented herein is briefly described within a mathematical framework, and some example problems are presented in order to verify the computational algorithm.
The general mathematical framework and robust algorithms are not limited to cryo-electron microscopy but can be generalized for electron tomography and other imaging experiments.
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These results are in total agreement with experimental data (Murphy and Reiner, 2002) and reported simulations of the Th network using a different mathematical framework (Mendoza and Xenarios, 2006).
The original idea, mathematical framework, experiment and simulation model were developed by the first author.
In the present work, we explore nonlinear actuation of MFC cantilevers and develop an experimentally validated mathematical framework for modeling and analysis.
We develop the mathematical framework of centered and uncentered versions of the Karhunen-Loeve decomposition and study how to incorporate critical shape constraints.
This book presents a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures.
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