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discretization error


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'discretization error' can also refer to...

discretization error

discretization error

discretization error

global discretization error

local discretization error

global discretization error

local discretization error

Discretization error and modelling error in the context of the rapid inflation of hyperelastic membranes

On fuzzy familywise error rate and false discovery rate procedures for discrete distributions

Nonlinear convection–diffusion problems: fully discrete approximations and a posteriori error estimates

Discrete-time reduced-order estimator design for bilinear stochastic systems with error covariance assignment

Discrete‐time reduced‐order estimator design for bilinear stochastic systems with error covariance assignment

A posteriori error estimates for fully discrete fractional-step ϑ-approximations for parabolic equations

Towards quantitative control on discreteness error in the non-linear regime of cosmological N-body simulations

An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations

Sharp error estimates for discretizations of the 1D convection–diffusion equation with Dirac initial data

A posteriori error estimates for a time discrete scheme for a phase‐field system of Penrose–Fife type

On optimal convergence rates for higher-order Navier–Stokes approximations. I. Error estimates for the spatial discretization

Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids

 

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The error in a numerical method that has been constructed by the discretization of a “continuous” problem. The term is widely used in the context of solving differential equations. A distinction must be made between global and local errors.

For example, in Euler's method (see discretization) the global error, or global discretization error, is the error in the discrete solution to the problem, specifically yny(xn) The local discretization error is the amount by which the continuous solution fails to satisfy the discrete formula: (1/h)(y(xn+1) − y(xn) − f(xn,y(xn) Speaking generally, estimates of local errors are used in choosing the grid spacing h hence providing a means of indirectly controlling the global error.

yny(xn)

(1/h)(y(xn+1) − y(xn) − f(xn,y(xn)

Subjects: Computing.


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