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1. Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order \(-1\)

作者： Jing Zhang ; Li-Lian Wang ; Huiyuan Li ; Zhimin Zhang

关键词：Generalized prolate spheroidal wave functions of order \( ; 1\) ; Helmholtz equations ; Optimal spectral schemes ; Error analysis

刊名：Journal of Scientific Computing

出版年：2017

2. Stability Analysis of the Inverse Lax–Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations

作者： Tingting Li ; Chi-Wang Shu ; Mengping Zhang

关键词：High order central difference schemes ; Diffusion equation ; Simplified inverse Lax–Wendroff procedure ; Stability ; GKS theory ; Eigenvalue analysis

刊名：Journal of Scientific Computing

出版年：2017

3. Research of influence of reduced-order boundary on accuracy and solution of interior points

作者： Yunlong Li ; Wei Cao

关键词：reduced ; order boundary ; shock wave ; accuracy ; numerical solution ; high order scheme

刊名：Applied Mathematics and Mechanics

出版年：2017

4. Fourth-order compact schemes for a parabolic-ordinary system of European option pricing liquidity shocks model

作者： Miglena N. Koleva ; Walter Mudzimbabwe ; Lubin G. Vulkov

关键词：Option pricing ; High ; order compact difference scheme ; Convergence ; Richardson extrapolation

刊名：Numerical Algorithms

出版年：2017

5. High-Order Accurate Local Schemes for Fractional Differential Equations

作者： Daniel Baffet ; Jan S. Hesthaven

关键词：Fractional differential equations ; Volterra equations ; High ; order methods

刊名：Journal of Scientific Computing

出版年：2017

6. 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

7. Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows

作者： Daozhi Han ; Alex Brylev ; Xiaofeng Yang ; Zhijun Tan

关键词：Phase field ; Navier–Stokes ; Stability ; Finite element method

刊名：Journal of Scientific Computing

出版年：2017

8. Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes

作者： Winfried Auzinger ; Harald Hofstätter ; David Ketcheson…

关键词：Evolution equations ; Splitting methods ; Free Lie algebra ; Order conditions ; Local error ; Embedded methods

刊名：BIT Numerical Mathematics

出版年：2017

9. On the convergence of difference schemes for fractional differential equations with Robin boundary conditions

作者： A. K. Bazzaev ; M. Kh. Shkhanukov-Lafishev

关键词：difference schemes ; maximum principle ; stability and convergence of difference schemes ; locally one ; dimensional difference scheme

刊名：Computational Mathematics and Mathematical Physics

出版年：2017

10. Implementation of a conservative two-step shape-preserving advection scheme on a spherical icosahedral hexagonal geodesic grid

作者： Yi Zhang ; Rucong Yu ; Jian Li

关键词：Key wordstransport equation ; advection scheme ; spherical icosahedral hexagonal geodesic grid ; shape preservation ; numerical test

刊名：Advances in Atmospheric Sciences

出版年：2017

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