Results 1 to 10 of about 15,467 (159)
Applied Mathematics and Computation, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Attipoe Sena, David, Tambue, Antoine
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Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation [PDF]
Advances in Difference Equations, 2007 The numerical solution of partial differential equations with finite differences mimetic methods that satisfy properties of the continuum differential operators and mimic discrete versions of appropriate integral identities is more likely to produce ...
Rojas S +3 more
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Results in Applied Mathematics, 2022 The Black–Scholes differential operator which underlies the option pricing of European and American options is known to be degenerate close to the boundary at zero.
David Sena Attipoe, Antoine Tambue
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Physics-Capturing Discretizations for Spectral Wind-Wave Models
Fluids, 2021 This paper discusses the discretization methods that have been commonly employed to solve the wave action balance equation, and that have gained a renewed interest with the widespread use of unstructured grids for third-generation spectral wind-wave ...
Marcel Zijlema
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A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations [PDF]
SIAM Journal on Scientific Computing, 2021 Maxwell's equations are a system of partial differential equations that govern the laws of electromagnetic induction. We study a mimetic finite-difference (MFD) discretization of the equations which preserves important underlying physical properties.
James H. Adler +3 more
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Local flux mimetic finite difference methods [PDF]
Numerische Mathematik, 2008 The authors use a MFPA-type construction to develop new cell-centered discretization methods on polyhedral meshes for diffusion problems with full tensor coefficients. Under a few constructive assumptions they prove first-order convergence for both the velocity and the pressure variables, as well as second-order superconvergence for the pressure ...
Lipnikov, Konstantin +2 more
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Mimetic finite differences for elliptic problems [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2008 In multi-physics codes used adaptive mesh refinement techniques and other special requirements for the solution of partial differential equations results in polyhedral meshes with possible degenerate elements. In comparison to other grids polyhedral meshes can improve the adaption of the grid to special requirements of the numerical solution and can ...
Brezzi F, Buffa A, Lipnikov K
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High order mimetic difference simulation of unsaturated flow using Richards equation
Mathematics in Applied Sciences and Engineering, 2020 The vadose zone is the portion of the subsurface above the water table and its pore space usually contains air and water. Due to the presence of infiltration, erosion, plant growth, microbiota, contaminant transport, aquifer recharge, and discharge to ...
Angel Boada Velazco +2 more
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A mimetic finite difference method using Crank-Nicolson scheme for unsteady diffusion equation
Revista de Matemática: Teoría y Aplicaciones, 2010 n this article a new mimetic finite difference method to solve unsteady diffusion equation is presented. It uses Crank-Nicolson scheme to obtain time approximations and second order mimetic discretizations for gradient and divergence operators in space ...
Iliana A. Mannarino
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Mimetic finite difference methods in image processing [PDF]
Computational & Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bazan, C. +3 more
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