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Shu , Stability analysis and a priori error estimates to the third order explicit Runge-Kutta discontinuous Galerkin method for scalar conservation laws, SIAM J. Redistribution

Sparked by [2, 16, 28], we use the CG method [20, Algorithm 10.2.1] to solving each Newton equation inex- actly, where we do not need the inversion of the Riemannian Hessian of

Finally, we apply some spectral properties of M -tensors to study the positive definiteness of a class of multivariate forms associated with Z -tensors.. We propose an algorithm

Then, making use of this fractional calculus, we introduce the generalized definition of Caputo derivatives. The new definition is consistent with various definitions in the

Based on iteration (3), a decentralized algorithm is derived for the basis pursuit problem with distributed data to recover a sparse signal in section 3.. The algorithm

In the first set of testing, we present several numerical tests to show the sharpness of these upper bounds, and in the second set, we integrate our upper bound estimates into

For the direct adaptation of the alternating direction method of multipliers, we show that if the penalty parameter is chosen sufficiently large and the se- quence generated has a

For a nonsymmetric tensor F , to get a best rank-1 approximation is equivalent to solving the multilinear optimization problem (1.5).. When F is symmetric, to get a best