Results 21 to 30 of about 368,612 (246)

Direct Analysis of Zero-Noise Extrapolation: Polynomial Methods, Error Bounds, and Simultaneous Physical-Algorithmic Error Mitigation [PDF]

Quantum
Zero-noise extrapolation (ZNE) is a widely used quantum error mitigation technique that artificially amplifies circuit noise and then extrapolates the results to the noise-free circuit.
Pegah Mohammadipour, Xiantao Li
doaj   +1 more source

Higher-Order Uniformly Convergent Numerical Scheme for Singularly Perturbed Differential Difference Equations with Mixed Small Shifts

International Journal of Differential Equations, 2020
This paper deals with numerical treatment of singularly perturbed differential difference equations involving mixed small shifts on the reaction terms.
Mesfin Mekuria Woldaregay, Gemechis File Duressa   +1 more
doaj   +1 more source

Numerical treatment of singularly perturbed unsteady Burger-Huxley equation

Frontiers in Applied Mathematics and Statistics, 2023
This article deals with the numerical treatment of a singularly perturbed unsteady Burger-Huxley equation. The equation is linearized using the Newton-Raphson-Kantorovich approximation method.
Imiru Takele Daba, Gemechis File Duressa
doaj   +1 more source

Richardson Extrapolation for Singularly Perturbed Fredholm Integro Differential Equations [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This study numerically derived the higher order convergence for a class of singularly perturbed Fredholm integro differential equations with reaction diffusion and convection diffusion type problems.
P. Antony Prince , L. Govindarao , Sekar Elango   +2 more
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On the consistency and convergence of classical Richardson extrapolation as applied to explicit one-step methods

Mathematical Modelling and Analysis, 2023
The consistency of the classical Richardson extrapolation (CRE), a simple and robust computational device, is analysed for the case where the underlying method is an explicit one-step numerical method for ordinary differential equations with order of ...
Teshome Bayleyegn, István Faragó, Ágnes Havasi   +2 more
doaj   +1 more source

Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme

Journal of Applied Mathematics, 2014
Based on a fourth order compact difference scheme, a Richardson cascadic multigrid (RCMG) method for 2D Poisson equation is proposed, in which the an initial value on the each grid level is given by the Richardson extrapolation technique (Wang and Zhang
Li Ming, Li Chen-Liang
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Quantum error mitigation by layerwise Richardson extrapolation [PDF]

A widely used method for mitigating errors in noisy quantum computers is Richardson extrapolation, a technique in which the overall effect of noise on the estimation of quantum expectation values is captured by a single parameter that, after being scaled
Russo V., Mari A.
core   +2 more sources

A second order numerical method for a class of parameterized singular perturbation problems on adaptive grid

Nonlinear Engineering, 2017
A nonlinear singularly perturbed boundary value problem depending on a parameter is considered. First, we solve the problem using the backward Euler finite difference scheme on an adaptive grid.
Shakti D., Mohapatra J.
doaj   +1 more source

A method of line with improved accuracy for singularly perturbed parabolic convection–diffusion problems with large temporal lag

Results in Applied Mathematics, 2021
A robust numerical scheme is proposed to solve singularly perturbed large time-delay parabolic convection–diffusion problems. For domain discretization, the backward-Euler method for the time derivative and Micken’s type discretization for the space ...
Naol Tufa Negero, Gemechis File Duressa
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A Non-Standard Finite Difference Scheme for Magneto-Hydro Dynamics Boundary Layer Flows of an Incompressible Fluid Past a Flat Plate

Mathematical and Computational Applications, 2021
This paper deals with a non-standard implicit finite difference scheme that is defined on a quasi-uniform mesh for approximate solutions of the Magneto-Hydro Dynamics (MHD) boundary layer flow of an incompressible fluid past a flat plate for a wide range
Riccardo Fazio, Alessandra Jannelli
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