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1.order vs. 2.order

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Old   March 22, 2006, 09:48
Default 1.order vs. 2.order
  #1
Christian
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It is (to my belief) generally known and accepted that 2.order discretization is preferred to 1.order discretization. But I cannot recall reading any books or articles testing this. Can anyone please help me with references?
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Old   March 22, 2006, 10:02
Default Re: 1.order vs. 2.order
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al
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see the reference in "Spectral/hp Element Methods for Computational Fluid Dynamics" by George Em Karniadakis, Spencer J. Sherwin

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Old   March 24, 2006, 00:28
Default Re: 1.order vs. 2.order
  #3
Harish
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First order discretization is usually dissipative and 2 order tend to be more dispersive.

Computational fluid mechanics and heat transfer - pletcher et .. is a good read on this topic in the context of FDM.

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Old   March 25, 2006, 12:46
Default Re: 1.order vs. 2.order
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vasanth
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error (l2) decreases by two times for 2 nd order scheme as compared to first order scheme on refining the grid
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Old   March 28, 2006, 06:33
Default Re: 1.order vs. 2.order
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Jean-Fran├žois
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> error (l2) decreases by two times for 2 nd order scheme as compared to first order scheme on refining the grid

Furthermore, what are called first order schemes are generally schemes based on a constant reconstruction which are not consistent on non-uniform meshes.
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