Results 1 to 10 of about 1,862,287 (233)
Mathematical and numerical analysis of a stratigraphic model [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2004 In this paper, we consider a multi-lithology diffusion model used in stratigraphic modelling to simulate large scale transport processes of sediments described as a mixture of L lithologies. This model is a simplified one for which the surficial fluxes are proportional to the slope of the topography and to a lithology fraction with unitary diffusion ...
Véronique Gervais, Roland Masson
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Heterogeneous mathematical models in numerical analysis of structures
Computers & Mathematics with Applications, 2001 AbstractThis paper presents a common approach to the numerical analysis of elasticity and heat conduction problems in computed structures. It is based on a combination of the linear elasticity theory with Timoshenko's shell theory for elasticity problems, and of the classical heat conduction theory with a dimensionally reduced heat conduction model in ...
Yarema Savula, Ivan Dyyak, V.V. Krevs
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Conservative stochastic differential equations: Mathematical and numerical analysis [PDF]
Mathematics of Computation, 2009 We consider stochastic differential equations on the whole Euclidean space possessing a scalar invariant along their solutions. The stochastic dynamics therefore evolves on a hypersurface of the ambient space. Using orthogonal coordinate systems, we show the existence and uniqueness of smooth solutions of the Kolmogorov equation under some ellipticity ...
Tony Lelièvre +2 more
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Raman laser: mathematical and numerical analysis of a model [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2004 In this paper we study a discrete Raman laser amplification model given as a Lotka-Volterra system. We show that in an ideal situation, the equations can be written as a Poisson system with boundary conditions using a global change of coordinates. We address the questions of existence and uniqueness of a solution.
Florence Leplingard +5 more
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MATHEMATICAL ANALYSIS AND NUMERICAL SIMULATION IN MAGNETIC RECORDING
Mathematical Modelling and Analysis, 2014 The head-tape interaction in magnetic recording is described in the literature by a coupled system of partial differential equations. In this paper we study the limit case of the system which reduces the problem to a second order nonlocal equation on a one-dimensional domain.
Munoz, Ana Isabel, Tello, Jose Ignacio
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Mathematical analysis and numerical simulation of a model of morphogenesis
Mathematical Biosciences and Engineering, 2011 We consider a simple mathematical model of distribution of morphogens (signaling molecules responsible for the differentiation of cells and the creation of tissue patterns). The mathematical model is a particular case of the model proposed by Lander, Nie and Wan in 2006 and similar to the model presented in Lander, Nie, Vargas and Wan 2005.
José Ignacio Tello +2 more
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Mathematical and numerical analysis for a model of growing metastatic tumors [PDF]
Mathematical Biosciences, 2009 In cancer diseases, the appearance of metastases is a very pejorative forecast. Chemotherapies are systemic treatments which aim at the elimination of the micrometastases produced by a primitive tumour. The efficiency of chemotherapies closely depends on the protocols of administration.
Barbolosi, Dominique +3 more
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Mathematical simulation of osteotomy. Numerical analysis and results
Journal of Computational and Applied Mathematics, 1995 AbstractIn this paper, a model problem of one vital surgical technique in orthopaedics, the so-called osteotomy, will be analyzed numerically. The model problem will be formulated mathematically. The problem leads to solving the variational equality and inequality.
Jiří Nedoma, Jiří Stehlík
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Detailed mathematical and numerical analysis of a dynamo model [PDF]
Astronomy & Astrophysics, 2014 We investigate the role of nonlinear feedback by α-quenching, flux losses, and feedback by differential rotations in dynamo. Specifically, by studying the nonlinear dynamo model analytically and numerically, we unfold how frequency p of magnetic field, magnetic field strength |B|, and phase φ are influenced by different types of nonlinear feedback in ...
Eun Jin Kim, Aditi Sood
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Modeling, Mathematical and Numerical Analysis of Electrorheological Fluids [PDF]
Applications of Mathematics, 2004 Many electrorheological fluids are suspensions consisting of solid particles and a carrier oil. If such a suspension is exposed to a strong electric field the effective viscosity increases dramatically. In this paper we first derive a model which captures this behaviour.
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