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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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