A Class of Second Order Difference Approximation for Solving Space Fractional Diffusion Equations
, 2012 A class of second order approximations, called the weighted and shifted Gr\"{u}nwald difference operators, are proposed for Riemann-Liouville fractional derivatives, with their effective applications to numerically solving space fractional diffusion ...
Deng, Weihua, Tian, WenYi, Zhou, Han
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Solving 2^{nd} order parabolic system by simulations of Markov jump processes [PDF]
, 1999 There are known methods of approximating the solution of parabolic 2^{nd} order systems by solving stochastic differential equations instead. The main idea is based on the fact that a stochastic differential equation defines a diffusion process ...
M. Rogina, N. Limić
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An Equation-Free Approach for Second Order Multiscale Hyperbolic Problems in Non-Divergence Form
, 2018 The present study concerns the numerical homogenization of second order hyperbolic equations in non-divergence form, where the model problem includes a rapidly oscillating coefficient function. These small scales influence the large scale behavior, hence
Arjmand, Doghonay, Kreiss, Gunilla
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Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method
, 2012 We give a systematic method for discretizing Hamiltonian partial differential equations (PDEs) with constant symplectic structure, while preserving their energy exactly. The same method, applied to PDEs with constant dissipative structure, also preserves
Celledoni, E. +6 more
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A first order system least squares method for the Helmholtz equation [PDF]
, 2015 We present a first order system least squares (FOSLS) method for the Helmholtz equation at high wave number k, which always deduces Hermitian positive definite algebraic system.
Chen, Huangxin, Qiu, Weifeng
core
, 2014 We present and analyze a first order least squares method for convection dominated diffusion problems, which provides robust L2 a priori error estimate for the scalar variable even if the given data f in L2 space.
Chen, Huangxin +4 more
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Matrix methods for radial Schr\"{o}dinger eigenproblems defined on a semi-infinite domain
, 2013 In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schr\"{o}dinger equation posed on a semi-infinite interval.
Aceto, Lidia +2 more
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An asynchronous leapfrog method II [PDF]
, 2016 A second order explicit one-step numerical method for the initial value problem of the general ordinary differential equation is proposed. It is obtained by natural modifications of the well-known leapfrog method, which is a second order, two-step ...
Mutze, Ulrich
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Model the transmission dynamics of COVID-19 propagation with public health intervention. [PDF]
Results Appl Math, 2020 Mamo DK.
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
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