Order of accuracy

Known as: First-order accurate, Nth-order accurate 
In numerical analysis, order of accuracy quantifies the rate of convergence of a numerical approximation of a differential equation to the exact… (More)
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1954-2017
020406019542016

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Highly Cited
2010
Highly Cited
2010
We construct uniformly high order accurate schemes satisfying a strict maximum principle for scalar conservation laws. A general… (More)
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Highly Cited
2010
Highly Cited
2010
We construct uniformly high order accurate discontinuous Galerkin (DG) schemes which preserve positivity of density and pressure… (More)
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Highly Cited
2008
Highly Cited
2008
The high order conservative finite difference scheme of Morinishi et al. [Y. Morinishi, O.V. Vasilyev, T. Ogi, Fully conservative… (More)
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Highly Cited
2007
Highly Cited
2007
Like many problems in biofluid mechanics, cardiac mechanics can be modeled as the dynamic interaction of a viscous incompressible… (More)
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Highly Cited
2006
Highly Cited
2006
Many geophysical flows are merely perturbations of some fundamental equilibrium state. If a numerical scheme shall capture such… (More)
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Highly Cited
2006
Highly Cited
2006
Finite difference approximations of the second derivative in space appearing in, parabolic, incompletely parabolic systems of… (More)
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Highly Cited
2005
Highly Cited
2005
The immersed boundary method is both a mathematical formulation and a numerical scheme for problems involving the interaction of… (More)
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Highly Cited
2005
Highly Cited
2005
We present a p-multigrid solution algorithm for a high-order discontinuous Galerkin finite element discretization of the… (More)
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Highly Cited
1998
Highly Cited
1998
Stable and accurate interface conditions are derived for the linear advection-diffusion equation. The conditions are functionally… (More)
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Highly Cited
1997
Highly Cited
1997
We continue the construction and the analysis of essentially nonoscillatory shock capturing methods for the approximation of… (More)
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