Results 1 to 10 of about 27,244,627 (288)
Numerical Analysis of Nonlinear Subdiffusion Equations [PDF]
We present a general framework for the rigorous numerical analysis of time-fractional nonlinear parabolic partial differential equations, with a fractional derivative of order $\alpha\in(0,1)$ in time.
Bangti Jin, Buyang Li, Zhi Zhou
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Numerical Analysis of Spectral Methods [PDF]
Spectral Methods Survey of Approximation Theory Review of Convergence Theory Algebraic Stability Spectral Methods Using Fourier Series Applications of Algebraic Stability Analysis Constant Coefficient Hyperbolic Equations Time Differencing Efficient ...
David Gottlieb, Steven A. Orszag
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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.
Miltersen, Peter Bro+3 more
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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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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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Theoretical and Analytical Investigation of Electromagnetic Problems Using Dispersive Material and the Kramers-Kronig Transformations [PDF]
In reality, there is no material with constant permittivity, permeability, and conductivity values over the entire frequency spectrum. The variation in these parameters is well-known as the dispersion phenomenon, which can be analytically interpreted ...
Mohamed, Mostafa Mohamed Bakry
core
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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