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Numerical Analysis of Spectral Methods [PDF]
David Gottlieb, Steven A. Orszag
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Numerical Analysis and Scientific Computation
1. Nonlinear Equations. Biscetion and Inverse Linear Interpolation. Newton's Method. The Fixed Point Theorem. Quadratic Convergence of Newton's Method. Variants of Newton's Method. Brent's Method. Effects of Finite Precision Arithmetic.
J. Leader
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On the Complexity of Numerical Analysis [PDF]
We study two quite different approaches to understanding the complexity of fundamental problems in numerical analysis. We show that both hinge on the question of understanding the complexity of the following problem, which we call PosSlp: Given a division-free straight-line program producing an integer N, decide whether N>0.
Allender, Eric+3 more
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Analysis of Numerical Errors [PDF]
Abstract This paper provides a general framework for the quantitative analysis of stochastic dynamic models. We review the convergence properties of some numerical algorithms and available methods to bound approximation errors. We then address the convergence and accuracy properties of the simulated moments.
Manuel S. Santos, Adrian Peralta-Alva
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Meteorological data are extensively used to perform environmental learning. Soft Computing (SC) and Machine Learning (ML) techniques represent a valuable support in many research areas, but require datasets containing information related to the topic ...
Antonio Manuel Gómez-Orellana+4 more
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Experimental and Numerical Analysis for Earth-Fill Dam Seepage
Earth-fill dams are the most common types of dam and the most economical choice. However, they are more vulnerable to internal erosion and piping due to seepage problems that are the main causes of dam failure.
Dam Seepage+6 more
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Wind energy production by means of diffusion stochastic process. Parameters estimation [PDF]
In this work, we attempt to model wind energy production via a stochastic diffusion process. We consider an Ito-type stochastic differential * equation (SDE) and determine the probabilistic characteristics of the stochastic process solution, particularly
Oubamou Zian, El Kettani Moummou
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Human intracranial pulsatility during the cardiac cycle: a computational modelling framework
Background Today’s availability of medical imaging and computational resources set the scene for high-fidelity computational modelling of brain biomechanics. The brain and its environment feature a dynamic and complex interplay between the tissue, blood,
Marius Causemann+2 more
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Numerical Analysis of an Osseointegration Model [PDF]
In this work, we study a bone remodeling model used to reproduce the phenomenon of osseointegration around endosseous implants. The biological problem is written in terms of the densities of platelets, osteogenic cells, and osteoblasts and the concentrations of two growth factors. Its variational formulation leads to a strongly coupled nonlinear system
Jacobo Baldonedo+2 more
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