Central Schemes for Porous Media Flows
, 2009 We are concerned with central differencing schemes for solving scalar hyperbolic conservation laws arising in the simulation of multiphase flows in heterogeneous porous media.
Abreu, E., Pereira, F., Ribeiro, S.
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Stability of central finite difference schemes for the Heston PDE
, 2010 This paper deals with stability in the numerical solution of the prominent Heston partial differential equation from mathematical finance. We study the well-known central second-order finite difference discretization, which leads to large semi-discrete ...
A Böttcher +14 more
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Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method [PDF]
, 2010 Mathematics Subject Classi¯cation 2010: 26A33, 65D25, 65M06, 65Z05.In the present paper we solve space-time fractional diffusion-wave equation with two space variables, using the matrix method.
Garg, Mridula, Manohar, Pratibha
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On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators
, 2016 We present a finite difference method to compute the principal eigenvalue and the corresponding eigenfunction for a large class of second order elliptic operators including notably linear operators in nondivergence form and fully nonlinear operators. The
Birindelli, Isabeau +2 more
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LDG schemes with second order implicit time discretization for a fractional sub-diffusion equation
Results in Applied Mathematics, 2019 In this paper, we propose new local discontinuous Galerkin (LDG) schemes for solving a time fractional sub-diffusion equation. The new LDG schemes is constructed rely on the splitting of time fractional derivative and space derivative.
Can Li, Xiaorui Sun, Fengqun Zhao
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On the Two-phase Fractional Stefan Problem
Advanced Nonlinear Studies, 2020 The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix +2 more
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Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates [PDF]
Open Communications in Nonlinear Mathematical PhysicsInvariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the authors,
E. I. Kaptsov, V. A. Dorodnitsyn
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On the Construction of Splitting Methods by Stabilizing Corrections with Runge-Kutta Pairs [PDF]
, 2017 In this technical note a general procedure is described to construct internally consistent splitting methods for the numerical solution of differential equations, starting from matching pairs of explicit and diagonally implicit Runge-Kutta methods.
Hundsdorfer, Willem
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Behavior of different numerical schemes for population genetic drift problems [PDF]
, 2016 In this paper, we focus on numerical methods for the genetic drift problems, which is governed by a degenerated convection-dominated parabolic equation.
Chen, Minxin +4 more
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Observability inequality for the spatial discretization of weakly coupled 2d-wave equations
Demonstratio MathematicaThis study addresses the problem of indirect boundary observability for a spatial semi-discretization of weakly coupled two-dimensional wave equations. The discretization is performed using a finite difference method on a uniform mesh. More specifically,
Beljadid Lahcen +2 more
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