In numerical analysis, order of accuracy quantifies the rate of convergence of a numerical approximation of a differential equation to the exactâ€¦Â (More)

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Highly Cited

2010

Highly Cited

2010

- Xiangxiong Zhang, Chi-Wang Shu
- J. Comput. Physics
- 2010

We construct uniformly high order accurate schemes satisfying a strict maximum principle for scalar conservation laws. A generalâ€¦Â (More)

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Highly Cited

2010

Highly Cited

2010

- Xiangxiong Zhang, Chi-Wang Shu
- J. Comput. Physics
- 2010

We construct uniformly high order accurate discontinuous Galerkin (DG) schemes which preserve positivity of density and pressureâ€¦Â (More)

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Highly Cited

2008

Highly Cited

2008

- Olivier Desjardins, Guillaume Blanquart, Guillaume Balarac, Heinz Pitsch
- J. Comput. Physics
- 2008

The high order conservative finite difference scheme of Morinishi et al. [Y. Morinishi, O.V. Vasilyev, T. Ogi, Fully conservativeâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- Boyce E. Griffith, Richard D. Hornung, David McQueen, Charles S. Peskin
- J. Comput. Physics
- 2007

Like many problems in biofluid mechanics, cardiac mechanics can be modeled as the dynamic interaction of a viscous incompressibleâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Sebastian Noelle, Normann Pankratz, Gabriella Puppo, Jostein R. Natvig
- J. Comput. Physics
- 2006

Many geophysical flows are merely perturbations of some fundamental equilibrium state. If a numerical scheme shall capture suchâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Magnus SvÃ¤rd, Jan NordstrÃ¶m
- J. Comput. Physics
- 2006

Finite difference approximations of the second derivative in space appearing in, parabolic, incompletely parabolic systems ofâ€¦Â (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 ofâ€¦Â (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 theâ€¦Â (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 functionallyâ€¦Â (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 ofâ€¦Â (More)

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