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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… Expand
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Highly Cited
2010
Highly Cited
2010
While second order methods for computational simulations of fluid flow provide the basis of widely used commercial software… Expand
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Highly Cited
2009
Highly Cited
2009
We developed a new monotone finite volume method for diffusion equations. The second-order linear methods, such as the multipoint… Expand
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Highly Cited
2008
Highly Cited
2008
In this article, we propose a new class of finite volume schemes of arbitrary accuracy in space and time for systems of… Expand
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Highly Cited
2008
Highly Cited
2008
In this article, it is shown that under certain conditions, the spectral difference (SD) method is independent of the position of… Expand
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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… Expand
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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… Expand
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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… Expand
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Highly Cited
2003
Highly Cited
2003
We first develop and analyze a finite volume scheme for the discretization of partial differential equations (PDEs) on the sphere… Expand
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Highly Cited
1999
Highly Cited
1999
Stable and accurate interface conditions based on the SAT penalty method are derived for the linear advection?diffusion equation… Expand
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Highly Cited
1987
Highly Cited
1987
We continue the construction and the analysis of essentially nonoscillatory shock capturing methods for the approximation of… Expand
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