Results 31 to 40 of about 267 (71)
Uniform convergence on a Bakhvalov-type mesh using the preconditioning approach: Technical report [PDF]
, 2015 The linear singularly perturbed convection-diffusion problem in one dimension is considered and its discretization on a Bakhvalov-type mesh is analyzed. The preconditioning technique is used to obtain the pointwise convergence uniform in the perturbation
Nhan, Thái Anh, Vulanović, Relja
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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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Variable-step finite difference schemes for the solution of Sturm-Liouville problems
, 2014 We discuss the solution of regular and singular Sturm-Liouville problems by means of High Order Finite Difference Schemes. We describe a code to define a discrete problem and its numerical solution by means of linear algebra techniques.
Amodio, Pierluigi, Settanni, Giuseppina
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Arab Journal of Mathematical Sciences, 2019 A class of third order singularly perturbed convection diffusion type equations with integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented.
Velusamy Raja, Ayyadurai Tamilselvan
doaj
A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
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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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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 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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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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, 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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