Results 1 to 10 of about 1,845,769 (228)
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 ...
Ya. H. 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 ...
Erwan Faou, Tony Lelièvre
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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.
François Castella +5 more
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Computational Mathematics, Numerical Analysis and Applications
, 2017 Pedro Alonso, Mariano Mateos
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Numerical analysis of history-dependent variational-hemivariational inequalities [PDF]
Science China Mathematics, 2020 In this paper, numerical analysis is carried out for a class of history-dependent variational-hemivariational inequalities by arising in contact problems.
Shufen Wang, W. Xu, W. Han, Wenbin Chen
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Mathematics, 2022 This paper deals with the mathematical modeling of the second wave of COVID-19 and verifies the current Omicron variant pandemic data in India. We also we discussed such as uniformly bounded of the system, Equilibrium analysis and basic reproduction ...
Ashwin Muniyappan +6 more
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Mathematics. 2023; 11(12):2670, 2023 A solution is given to a problem discussed by Brigati, Dolbeault, and Simonov [arXiv:2302.03926].
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Journal of Applied Mathematics, 2021 In the paper, we have considered a nonlinear compartmental mathematical model that assesses the effect of treatment on the dynamics of HIV/AIDS and pneumonia coinfection in a human population at different infection stages.
Shewafera Wondimagegnhu Teklu +1 more
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Advanced Engineering Mathematics
Technometrics, 2021 Part One - Ordinary Differential Equations. 1. First Order Differential Equations. 2. Second Order Differential Equations. 3. The Laplace Transform. 4. Series Solutions. 5. Numerical Approximation Of Solutions. 6.
D. G. Zill, M. Cullen
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