On Long Time Error Bounds for the Wave Equation on Second Order Form Jan NordströmHannes Frenander OriginalPaper Open access 17 February 2018 Pages: 1327 - 1336
Optimal Monotonicity-Preserving Perturbations of a Given Runge–Kutta Method Inmaculada HiguerasDavid I. KetchesonTihamér A. Kocsis OriginalPaper 14 February 2018 Pages: 1337 - 1369
High-Order Perturbation of Surfaces Algorithms for the Simulation of Localized Surface Plasmon Resonances in Two Dimensions David P. NichollsXin Tong OriginalPaper 14 February 2018 Pages: 1370 - 1395
Linear Feature Transform and Enhancement of Classification on Deep Neural Network Penghang YinJack XinYingyong Qi OriginalPaper 23 February 2018 Pages: 1396 - 1406
An Improved Eulerian Approach for the Finite Time Lyapunov Exponent Guoqiao YouShingyu Leung OriginalPaper 17 February 2018 Pages: 1407 - 1435
A Superconvergent HDG Method for Distributed Control of Convection Diffusion PDEs Weiwei HuJiguang ShenXiaobo Zheng OriginalPaper 26 February 2018 Pages: 1436 - 1457
Numerical Analysis of an Artificial Compression Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers Yao RongWilliam LaytonHaiyun Zhao OriginalPaper 01 March 2018 Pages: 1458 - 1483
A Hybridizable Discontinuous Galerkin Method for the Navier–Stokes Equations with Pointwise Divergence-Free Velocity Field Sander RhebergenGarth N. Wells OriginalPaper 17 February 2018 Pages: 1484 - 1501
WSGD-OSC Scheme for Two-Dimensional Distributed Order Fractional Reaction–Diffusion Equation Xuehua YangHaixiang ZhangDa Xu OriginalPaper 17 February 2018 Pages: 1502 - 1520
Non-unified Compact Residual-Distribution Methods for Scalar Advection–Diffusion Problems Vishal SinghHossain ChizariAppendix by Rémi Abgrall OriginalPaper 05 March 2018 Pages: 1521 - 1546
Discontinuous Galerkin Method with Staggered Hybridization for a Class of Nonlinear Stokes Equations Jie DuEric T. ChungXiao-Ping Wang OriginalPaper 09 March 2018 Pages: 1547 - 1577
The Partial Fast Fourier Transform John C. BowmanZayd Ghoggali OriginalPaper 22 February 2018 Pages: 1578 - 1593
A Fully Discrete Fast Fourier–Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation Ying JiangBo WangYuesheng Xu OriginalPaper 26 March 2018 Pages: 1594 - 1632
Supercloseness of Continuous Interior Penalty Methods on Shishkin Triangular Meshes and Hybrid Meshes for Singularly Perturbed Problems with Characteristic Layers Jin ZhangXiaowei Liu OriginalPaper 23 February 2018 Pages: 1633 - 1656
Hybridized Discontinuous Galerkin Method for Elliptic Interface Problems: Error Estimates Under Low Regularity Assumptions of Solutions Masaru MiyashitaNorikazu Saito OriginalPaper 27 February 2018 Pages: 1657 - 1673
A Stabilized Separation of Variables Method for the Modified Biharmonic Equation T. Askham OriginalPaper 09 March 2018 Pages: 1674 - 1697
A New Primal–Dual Algorithm for Minimizing the Sum of Three Functions with a Linear Operator Ming Yan OriginalPaper 02 March 2018 Pages: 1698 - 1717
A Globally and Quadratically Convergent Algorithm for Solving Multilinear Systems with \({{\mathcal {M}}}\)-tensors Hongjin HeChen LingGuanglu Zhou OriginalPaper 08 March 2018 Pages: 1718 - 1741
An Energy Stable Approach for Discretizing Hyperbolic Equations with Nonconforming Discontinuous Galerkin Methods Jeremy E. KozdonLucas C. Wilcox OriginalPaper 10 March 2018 Pages: 1742 - 1784
High Accurate Finite Differences Based on RBF Interpolation and its Application in Solving Differential Equations Renzhong FengJunna Duan OriginalPaper 09 March 2018 Pages: 1785 - 1812
An Adaptive Finite Element Method for the Diffraction Grating Problem with PML and Few-Mode DtN Truncations Weiqi ZhouHaijun Wu OriginalPaper 05 March 2018 Pages: 1813 - 1838
Monotone Mixed Finite Difference Scheme for Monge–Ampère Equation Yangang ChenJustin W. L. WanJessey Lin OriginalPaper 03 March 2018 Pages: 1839 - 1867
Asymptotically Exact Posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Nonlinear Convection–Diffusion Problems Mahboub Baccouch OriginalPaper 03 March 2018 Pages: 1868 - 1904
A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection Weijia LiWenbin ChenRuijian He OriginalPaper 10 March 2018 Pages: 1905 - 1937
A Uniquely Solvable, Energy Stable Numerical Scheme for the Functionalized Cahn–Hilliard Equation and Its Convergence Analysis Wenqiang FengZhen GuanYing Chen OriginalPaper 06 March 2018 Pages: 1938 - 1967
