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The convergence rate for difference approximations to fractional boundary value problems

Journal of computational and applied mathematics, 2022-12, Vol.415, p.114486, Article 114486

Sousa, Ercília

2022

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Finite difference approximations for a fractional advection diffusion problem

Journal of computational physics, 2009-06, Vol.228 (11), p.4038-4054

Sousa, Ercília

2009

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Consistency analysis of the Grünwald–Letnikov approximation in a bounded domain

IMA journal of numerical analysis, 2022-07, Vol.42 (3), p.2771-2793

Sousa, Ercília

2022

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Convergence of consistent and inconsistent schemes for fractional diffusion problems with boundaries

Advances in computational mathematics, 2022-10, Vol.48 (5), Article 68

Sousa, Ercília

2022

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Numerical approximations for fractional diffusion equations via splines

Computers & mathematics with applications (1987), 2011-08, Vol.62 (3), p.938-944

Sousa, Ercília

2011

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A weighted finite difference method for the fractional diffusion equation based on the Riemann–Liouville derivative

Applied numerical mathematics, 2015-04, Vol.90, p.22-37

2015

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High order numerical method for a subdiffusion problem

Applied numerical mathematics, 2024-11, Vol.205, p.169-183

2024

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A second order explicit finite difference method for the fractional advection diffusion equation

Computers & mathematics with applications (1987), 2012-11, Vol.64 (10), p.3141-3152

Sousa, Ercília

2012

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An explicit high order method for fractional advection diffusion equations

Journal of computational physics, 2014-12, Vol.278, p.257-274

Sousa, Ercília

2014

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Superdiffusion in the presence of a reflecting boundary

Applied mathematics letters, 2021-02, Vol.112, p.106742, Article 106742

2021

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Numerical solutions for asymmetric Lévy flights

Numerical algorithms, 2021-07, Vol.87 (3), p.967-999

2021

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Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion

Communications in nonlinear science & numerical simulation, 2017-09, Vol.50, p.211-228

2017

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Numerical method with fractional splines for a subdiffusion problem

BIT Numerical Mathematics, 2020-12, Vol.60 (4), p.1075-1111

2020

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Positivity preserving schemes for the fractional Klein-Kramers equation with boundaries

Communications in nonlinear science & numerical simulation, 2020-12, Vol.91, p.105444, Article 105444

2020

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Optical flow with fractional order regularization: Variational model and solution method

Applied numerical mathematics, 2017-04, Vol.114, p.188-200

2017

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Numerical solutions of an option pricing rainfall weather derivatives model

Computers & mathematics with applications (1987), 2024-01, Vol.153, p.43-55

2024

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An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection

Applied mathematics and computation, 2014-07, Vol.239, p.17-28

2014

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A numerical approach to study the Kramers equation for finite geometries: boundary conditions and potential fields

Journal of physics. A, Mathematical and theoretical, 2015-01, Vol.48 (4), p.45202-27

2015

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On the edge of stability analysis

Applied numerical mathematics, 2009-06, Vol.59 (6), p.1322-1336

Sousa, Ercília

2009

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High-order methods and numerical boundary conditions

Computer methods in applied mechanics and engineering, 2007-09, Vol.196 (45), p.4444-4457

Sousa, Ercı´lia

2007

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Numerical Approximation of a Transport Equation with a Time-Dependent Dispersion Flux

AIP conference proceedings, 2008, Vol.1048 (1), p.403-406

2008

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The controversial stability analysis

Applied mathematics and computation, 2003-12, Vol.145 (2), p.777-794

Sousa, Ercı́lia

2003

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A Fractional Diffusion Model with Resetting

Finite Difference Methods. Theory and Applications, p.509-516

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Fractional Diffusion Problems with Reflecting Boundaries

Large-Scale Scientific Computations, p.164-171

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Successful use of gentamycin as an antibiotic prophylaxis regimen to reduce the rate of healthcare-associated infections after renal transplantation

The Brazilian journal of infectious diseases, 2013-03, Vol.17 (2), p.254-255

2013

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The convergence rate for difference approximations to fractional boundary value problems

Finite difference approximations for a fractional advection diffusion problem

Consistency analysis of the Grünwald–Letnikov approximation in a bounded domain

Convergence of consistent and inconsistent schemes for fractional diffusion problems with boundaries

Numerical approximations for fractional diffusion equations via splines

A weighted finite difference method for the fractional diffusion equation based on the Riemann–Liouville derivative

High order numerical method for a subdiffusion problem

A second order explicit finite difference method for the fractional advection diffusion equation

An explicit high order method for fractional advection diffusion equations

Superdiffusion in the presence of a reflecting boundary

Numerical solutions for asymmetric Lévy flights

Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion

Numerical method with fractional splines for a subdiffusion problem

Positivity preserving schemes for the fractional Klein-Kramers equation with boundaries

Optical flow with fractional order regularization: Variational model and solution method

Numerical solutions of an option pricing rainfall weather derivatives model

An alternating direction implicit method for a second-order hyperbolic diffusion equation with convection

A numerical approach to study the Kramers equation for finite geometries: boundary conditions and potential fields

On the edge of stability analysis

High-order methods and numerical boundary conditions

Numerical Approximation of a Transport Equation with a Time-Dependent Dispersion Flux

The controversial stability analysis

A Fractional Diffusion Model with Resetting

Fractional Diffusion Problems with Reflecting Boundaries

Successful use of gentamycin as an antibiotic prophylaxis regimen to reduce the rate of healthcare-associated infections after renal transplantation

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