Results 31 to 40 of about 270 (76)

Linear rational finite differences from derivatives of barycentric rational interpolants [PDF]

, 2012
Derivatives of polynomial interpolants lead in a natural way to approximations of derivatives of the interpolated function, e.g., through finite differences.
Berrut, Jean-Paul, Klein, Georges
core   +1 more source

Local accuracy and error bounds of the improved Runge-Kutta numerical methods

Journal of Applied Mathematics and Computational Mechanics, 2018
In this paper, explicit Improved Runge-Kutta (IRK) methods with two, three and four stages have been analyzed in detail to derive the error estimates inherent in them whereas their convergence, order of local accuracy, stability and arithmetic complexity
S. Qureshi, Zaib-un-Nisa Memon, A. A. Shaikh   +2 more
semanticscholar   +1 more source

Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential

Demonstratio Mathematica
In this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
doaj   +1 more source

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
core   +2 more sources

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, Miller, John J. H., Sigamani, Valarmathi   +2 more
core   +2 more sources

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
core   +1 more source

Optimal control analysis of a mathematical model of malaria and COVID-19 co-infection dynamics

Journal of Biological Dynamics
In this paper, we analyze a deterministic model of malaria and Corona Virus Disease 2019 co-infection within a homogeneous population. We first studied the single infection model of each disease and then the co-infection dynamics.
Abou Bakari Diabaté, Boureima Sangaré, Ousmane Koutou   +2 more
doaj   +1 more source

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
core  

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
core  

Mimetic finite difference methods in image processing

, 2011
We introduce the use of mimetic methods to the imaging community, for the solution of the initial-value problems ubiquitous in the machine vision and image processing and analysis fields. PDE-based image processing and analysis techniques comprise a host
C. Bazan, M. Abouali, J. Castillo, P. Blomgren   +3 more
semanticscholar   +1 more source