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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…
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6 relations
High-resolution scheme
List of numerical analysis topics
Numerical analysis
Rate of convergence
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Review
2015
Review
2015
Smoothed particle hydrodynamics and its applications for multiphase flow and reactive transport in porous media
A. Tartakovsky
,
Nathaniel Trask
,
K. Pan
,
B. Jones
,
Wenxiao Pan
,
John R. Williams
Computational Geosciences
2015
Corpus ID: 30678322
Smoothed particle hydrodynamics (SPH) is a Lagrangian method based on a meshless discretization of partial differential equations…
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Highly Cited
2012
Highly Cited
2012
Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
U. S. Fjordholm
,
Siddhartha Mishra
,
E. Tadmor
SIAM Journal on Numerical Analysis
2012
Corpus ID: 1578229
We design arbitrarily high-order accurate entropy stable schemes for systems of conservation laws. The schemes, termed TeCNO…
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Highly Cited
2011
Highly Cited
2011
Application of the principle of minimizing the derivative to the construction of finite-difference schemes for computing discontinuous solutions of gas dynamics
V. P. Kolgan
Journal of Computational Physics
2011
Corpus ID: 1392794
Highly Cited
2009
Highly Cited
2009
A Schwarz–Christoffel-Based Analytical Method for Electric Machine Field Analysis
T. O'Connell
,
P. Krein
IEEE transactions on energy conversion
2009
Corpus ID: 21441866
With the recent increase in the availability and widespread use of inverters, exotic rare earth permanent-magnet materials, and…
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Highly Cited
2009
Highly Cited
2009
Well-Balanced High-Order Centred Schemes for Non-Conservative Hyperbolic Systems. Applications to Shallow Water Equations with Fixed and Mobile Bed
A. Canestrelli
,
A. Siviglia
,
M. Dumbser
,
E. Toro
2009
Corpus ID: 14541736
Highly Cited
2008
Highly Cited
2008
An immersed boundary-lattice-Boltzmann method for the simulation of the flow past an impulsively started cylinder
A. Dupuis
,
P. Chatelain
,
P. Koumoutsakos
Journal of Computational Physics
2008
Corpus ID: 19878982
Review
2006
Review
2006
Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems
Yen Liu
,
M. Vinokur
,
Z. Wang
Journal of Computational Physics
2006
Corpus ID: 15645858
Highly Cited
2005
Highly Cited
2005
ADER schemes for three-dimensional non-linear hyperbolic systems
V. Titarev
,
E. Toro
2005
Corpus ID: 16114485
Highly Cited
2004
Highly Cited
2004
High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations
V. Daru
,
C. Tenaud
2004
Corpus ID: 123614654
Highly Cited
2001
Highly Cited
2001
Grid Convergence Error Analysis for Mixed-Order Numerical Schemes
Christopher J. Roy
2001
Corpus ID: 33401296
New developments are presented in the area of grid convergence error analysis and error estimation for mixed-order numerical…
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