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1. Radial Basis Function ENO and WENO Finite Difference Methods Based on the Optimization of Shape Parameters

作者： Jingyang Guo ; Jae-Hun Jung

关键词：Essentially non ; oscillatory method ; Weighted essentially non ; oscillatory method ; Radial basis function interpolation ; Finite difference method

刊名：Journal of Scientific Computing

出版年：2017

2. Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations

作者： Jianyu Pan ; Michael Ng ; Hong Wang

关键词：Iterative methods ; Preconditioning ; Space ; fractional diffusion equations ; Finite volume methods

刊名：Numerical Algorithms

出版年：2017

3. Error Estimates of Mixed Finite Element Methods for Time-Fractional Navier–Stokes Equations

作者： Xiaocui Li ; Xiaoyuan Yang ; Yinghan Zhang

关键词：Time ; fractional Navier–Stokes equations ; Finite element method ; Error estimates ; Strong convergence

刊名：Journal of Scientific Computing

出版年：2017

4. Galerkin finite element method for nonlinear fractional Schrödinger equations

作者： Meng Li ; Chengming Huang ; Pengde Wang

关键词：Nonlinear fractional Schrödinger equation ; Finite element method ; Crank ; Nicolson scheme ; Conservation ; Unique solvability ; Convergence

刊名：Numerical Algorithms

出版年：2017

5. An Extrapolation Cascadic Multigrid Method Combined with a Fourth-Order Compact Scheme for 3D Poisson Equation

作者： Kejia Pan ; Dongdong He ; Hongling Hu

关键词：Richardson extrapolation ; Multigrid method ; Compact difference scheme ; Quartic interpolation ; Poisson equation

刊名：Journal of Scientific Computing

出版年：2017

6. A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain

作者： G. M. Coclite ; J. Ridder ; N. H. Risebro

关键词：Ostrovsky ; Hunter equation ; Short ; pulse equation ; Vakhnenko equation ; Finite difference methods ; Monotone scheme ; Existence ; Uniqueness ; Stability ; Convergence ; Entropy solution

刊名：BIT Numerical Mathematics

出版年：2017

7. Development and Testing of 2D Finite Difference Model in Open Channels

作者： Dang Truong An ; Park Sang Deog

关键词：Numerical model ; Finite difference ; Staggered grid ; Depth ; averaged ; Open channels

刊名：Environmental Modeling & Assessment

出版年：2017

8. A new fourteenth algebraic order finite difference method for the approximate solution of the Schrödinger equation

作者： Jianbin Zhao ; T. E. Simos

关键词：Phase ; lag ; Derivative of the phase ; lag ; Initial value problems ; Oscillating solution ; Symmetric ; Hybrid ; Multistep ; Hybrid ; Schrödinger equation

刊名：Journal of Mathematical Chemistry

出版年：2017

9. Accurate and efficient numerical solutions for elliptic obstacle problems

作者： Philku Lee ; Tai Wan Kim ; Seongjai Kim

关键词：elliptic obstacle problem ; successive over ; relaxation (SOR) method ; gradient ; weighting method ; obstacle relaxation ; subgrid finite difference (FD)

刊名：Journal of Inequalities and Applications

出版年：2017

10. Weighted cubic and biharmonic splines

作者： Boris Kvasov ; Tae-Wan Kim

关键词：monotone and convex interpolation ; weighted cubic and biharmonic splines ; adaptive choice of shape control parameters ; differential multipoint boundary value problem ; successive overrelaxation method ; finite ; difference schemes in fractional steps

刊名：Computational Mathematics and Mathematical Physics

出版年：2017

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