Results 31 to 40 of about 1,171,815 (343)
Higher integrability for anisotropic parabolic systems of p-Laplace type
Advances in Nonlinear Analysis, 2023 In this article, we consider anisotropic parabolic systems of pp-Laplace type. The model case is the parabolic pi{p}_{i}-Laplace system ut−∑i=1n∂∂xi(∣Diu∣pi−2Diu)=0{u}_{t}-\mathop{\sum }\limits_{i=1}^{n}\frac{\partial }{\partial {x}_{i}}({| {D}_{i}u| }^{{
Mons Leon
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Holistic finite differences accurately model the dynamics of the Kuramoto-Sivashinsky equation [PDF]
, 2000 We analyse the nonlinear Kuramoto-Sivashinsky equation to develop an accurate finite difference approximation to its dynamics. The analysis is based upon centre manifold theory so we are assured that the finite difference model accurately models the ...
MacKenzie, T., Roberts, A. J.
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VaMpy: A Python Package to Solve 1D Blood Flow Problems
Journal of Open Research Software, 2017 Finite-differences methods such as the Lax-Wendroff method (LW) are commonly used to solve 1D models of blood flow. These models solve for blood flow and lumen area and are useful in disease research, such as hypertension and atherosclerosis, where flow ...
Alexandra K. Diem, Neil W. Bressloff
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, 2015 We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and finite differences are used in different subdomains of the computational ...
Beilina, L.
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Mathematical Modelling and Analysis, 2011 This paper is concerning with the 1-D initial–boundary value problem for the hyperbolic heat conduction equation. Numerical solutions are obtained using two discretizations methods – the finite difference scheme (FDS) and the difference scheme with the ...
Harijs Kalis, Andris Buikis
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Mathematics, 2021 In this work, stable and convergent numerical schemes on nonuniform time meshes are proposed, for the solution of distributed-order diffusion equations.
M. Luísa Morgado +2 more
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Regularization versus renormalization: Why are Casimir energy differences so often finite?
, 2018 One of the very first applications of the quantum field theoretic vacuum state was in the development of the notion of Casimir energy. Now field theoretic Casimir energies, considered individually, are always infinite. But differences in Casimir energies
Visser, Matt
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A natural derivative on [0,n] and a binomial Poincar\'e inequality [PDF]
, 2011 We consider probability measures supported on a finite discrete interval $[0,n]$. We introduce a new finitedifference operator $\nabla_n$, defined as a linear combination of left and right finite differences. We show that this operator $\nabla_n$ plays a
Hillion, Erwan +2 more
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Generalized finite-difference schemes [PDF]
Mathematics of Computation, 1969 Finite-difference schemes for initial boundary-value problems for partial differential equations lead to systems of equations which must be solved at each time step. Other methods also lead to systems of equations. We call a method a generalized finite-difference scheme if the matrix of coefficients of the system is sparse.
Swartz, B., Wendroff, B.
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Numerical Analysis of Time-Accurate Solution of Nonlinear Flow Models by Implicit Finite Differences
Nonlinear Analysis, 2003 Implicit finite differences are often applied to solve flow models. A standard technique to solve these equations is Newton's method. lf time step is too large although the difference equation could be computationally stable, Newton's method may fail ...
S. K. Dey
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