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 作者：Giuseppe Pitton , Gianluigi Rozza 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (1), pp.157-177Springer 摘要：In this paper we apply a reduced basis framework for the computation of flow bifurcation (and stability) problems in fluid dynamics. The proposed method aims at reducing the complexity and the computational time required for the construction of bifurcation and stability diagrams....
 作者：Philip Roe 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.1094-1114Springer 摘要：It has been almost automatically assumed for a quarter century that the numerical solution of hyperbolic conservation laws is best accomplished by making a reconstruction of the initial data that is only piecewise continuous. The effect of the discontinuities is taken into a...
 作者：Jingwei Hu , Xiangxiong Zhang 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.797-818Springer 摘要：Implicit–explicit (IMEX) Runge–Kutta (RK) schemes are popular high order time discretization methods for solving stiff kinetic equations. As opposed to the compressible Euler limit (leading order asymptotics of the Boltzmann equation as the Knudsen number $$\varepsilon$$ go...
 作者：Xiaoli Li , Hongxing Rui 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.72 (2), pp.863-891Springer 摘要：In this article, a two-grid block-centered finite difference scheme is introduced and analyzed to solve the nonlinear time-fractional parabolic equation. This method is considered where the nonlinear problem is solved only on a coarse grid of size H and a linear problem is solved...
 作者：A. Ditkowski , S. Gottlieb 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.691-711Springer 摘要：The commonly used one step methods and linear multi-step methods all have a global error that is of the same order as the local truncation error (as defined in [ 1 , 6 , 8 , 13 , 15 ]). In fact, this is true of the entire class of general linear methods. In practice, this means t...
 作者：P. Gatto , J. S. Hesthaven 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.72 (1), pp.49-80Springer 摘要：We introduce a preconditioner based on a hierarchical low-rank compression scheme of Schur complements. The construction is inspired by standard nested dissection, and relies on the assumption that the Schur complements can be approximated, to high precision, by Hierarchically-Se...
 作者：Christoph Reisinger , Julen Rotaetxe Arto 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.72 (1), pp.198-230Springer 摘要：We analyse two practical aspects that arise in the numerical solution of Hamilton–Jacobi–Bellman equations by a particular class of monotone approximation schemes known as semi-Lagrangian schemes. These schemes make use of a wide stencil to achieve convergence and result in ...
 作者：Changfeng Li , Yirang Yuan , Tongjun Sun ... 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.72 (2), pp.467-499Springer 摘要：A nonlinear system with boundary-initial value conditions of convection–diffusion partial differential equations is presented to describe incompressible nuclear waste disposal contamination in porous media. The flow pressure is determined by an elliptic equation, the concent...
 作者：Yuan Liu , Yingda Cheng , Chi-Wang Shu 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (2-3), pp.1028-1071Springer 摘要：In this paper, we propose a simple bound-preserving sweeping procedure for conservative numerical approximations. Conservative schemes are of importance in many applications, yet for high order methods, the numerical solutions do not necessarily satisfy maximum principle. This pa...
 作者：Shuvam Sen , Tony W. H. Sheu 来源：[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.72 (1), pp.252-290Springer 摘要：In this paper, a new integral vorticity boundary condition has been developed and implemented to compute solution of nonprimitive Navier–Stokes equation. Global integral vorticity condition which is of primitive character can be considered to be of entirely different kind co...