Finite difference schemes on quasi-uniform grids for Bvps on infinite intervals
, 2014 The classical numerical treatment of boundary value problems defined on infinite intervals is to replace the boundary conditions at infinity by suitable boundary conditions at a finite point, the so-called truncated boundary.
Fazio, Riccardo, Jannelli, Alessandra
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An analysis of the practical DPG method [PDF]
, 2011 In this work we give a complete error analysis of the Discontinuous Petrov Galerkin (DPG) method, accounting for all the approximations made in its practical implementation.
Gopalakrishnan, Jay, Qiu, Weifeng
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Numerical Methods for a Nonlinear BVP Arising in Physical Oceanography [PDF]
, 2013 In this paper we report and compare the numerical results for an ocean circulation model obtained by the classical truncated boundary formulation, the free boundary approach and a quasi-uniform grid treatment of the problem. We apply a shooting method to
Fazio, Riccardo, Jannelli, Alessandra
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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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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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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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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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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.
europepmc +2 more sources
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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