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Showing 2015 · math.NAShow all
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math.NA2015★ 36 cited
Extended Skew-Symmetric Form for Summation-by-Parts Operators and Varying Jacobians
Hendrik Ranocha, Philipp Öffner, Thomas Sonar
A generalised analytical notion of summation-by-parts (SBP) methods is proposed, extending the concept of SBP operators in the correction procedure via reconstruction (CPR), a fram…
math.NA2015★ 118 cited
Summation-by-parts operators for correction procedure via reconstruction
Hendrik Ranocha, Philipp Öffner, Thomas Sonar
The correction procedure via reconstruction (CPR, formerly known as flux reconstruction) is a framework of high order methods for conservation laws, unifying some discontinuous Gal…
math.NA2015★ 2 cited
Polynomial Chaos Expansion of random coefficients and the solution of stochastic partial differential equations in the Tensor Train format
Sergey Dolgov, Boris N. Khoromskij, Alexander Litvinenko +1
We apply the Tensor Train (TT) decomposition to construct the tensor product Polynomial Chaos Expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with…