Accelerated Alternating Direction Method of Multipliers: An Optimal O(1 / K) Nonergodic Analysis Huan LiZhouchen Lin Review Paper 18 December 2018 Pages: 671 - 699
Finite Element Method for Two-Sided Fractional Differential Equations with Variable Coefficients: Galerkin Approach Zhaopeng HaoMoongyu ParkZhiqiang Cai OriginalPaper 16 November 2018 Pages: 700 - 717
Physics-Based Balancing Domain Decomposition by Constraints for Multi-Material Problems Santiago BadiaAlberto F. MartínHieu Nguyen OriginalPaper 07 November 2018 Pages: 718 - 747
A Regularity-Aware Algorithm for Variational Data Assimilation of an Idealized Coupled Atmosphere–Ocean Model Peter Korn OriginalPaper Open access 14 November 2018 Pages: 748 - 786
Fast High-Order Integral Equation Methods for Solving Boundary Value Problems of Two Dimensional Heat Equation in Complex Geometry Shaobo WangShidong JiangJing Wang OriginalPaper 14 November 2018 Pages: 787 - 808
A New Proximal Iterative Hard Thresholding Method with Extrapolation for \(\ell _0\) Minimization Xue ZhangXiaoqun Zhang OriginalPaper 23 November 2018 Pages: 809 - 826
Particle-without-Particle: A Practical Pseudospectral Collocation Method for Linear Partial Differential Equations with Distributional Sources Marius OlteanCarlos F. SopuertaAlessandro D. A. M. Spallicci OriginalPaper 16 November 2018 Pages: 827 - 866
An Implementation of Milstein’s Method for General Bounded Diffusions Francisco Bernal OriginalPaper 28 November 2018 Pages: 867 - 890
High Order Residual Distribution for Steady State Problems for Hyperbolic Conservation Laws Jianfang LinRémi AbgrallJianxian Qiu OriginalPaper 24 November 2018 Pages: 891 - 913
Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem Qilong ZhaiHehu XieZhimin Zhang OriginalPaper 27 November 2018 Pages: 914 - 934
A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures F. HechtZ. MghazliJ. E. Roberts OriginalPaper 30 November 2018 Pages: 935 - 968
Filtered Hyperbolic Moment Method for the Vlasov Equation Yana DiYuwei FanYanli Wang OriginalPaper 03 December 2018 Pages: 969 - 991
Spectrally-Consistent Regularization of Navier–Stokes Equations F. X. TriasD. FolchA. Oliva OriginalPaper 24 November 2018 Pages: 992 - 1014
A Third-Order Unconditionally Positivity-Preserving Scheme for Production–Destruction Equations with Applications to Non-equilibrium Flows Juntao HuangWeifeng ZhaoChi-Wang Shu OriginalPaper 26 November 2018 Pages: 1015 - 1056
Image Segmentation Using the Cahn–Hilliard Equation Wenli YangZhongyi HuangWei Zhu OriginalPaper 01 January 2019 Pages: 1057 - 1077
Optimal Error Estimates of Penalty Based Iterative Methods for Steady Incompressible Magnetohydrodynamics Equations with Different Viscosities Haiyan SuShipeng MaoXinlong Feng OriginalPaper 29 November 2018 Pages: 1078 - 1110
A High Order Semi-Lagrangian Discontinuous Galerkin Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model Without Operator Splitting Xiaofeng CaiWei GuoJing-Mei Qiu OriginalPaper 18 December 2018 Pages: 1111 - 1134
ALORA: Affine Low-Rank Approximations Alan AyalaXavier ClaeysLaura Grigori OriginalPaper 28 November 2018 Pages: 1135 - 1160
Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two Thomas FührerNorbert Heuer OriginalPaper 30 November 2018 Pages: 1161 - 1181
Optimized Schwarz Methods for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations Yingxiang XuXin Chen OriginalPaper 28 November 2018 Pages: 1182 - 1213
A Fast Algorithm for Solving Linear Inverse Problems with Uniform Noise Removal Xiongjun ZhangMichael K. Ng OriginalPaper 29 November 2018 Pages: 1214 - 1240
Conservative Multi-dimensional Semi-Lagrangian Finite Difference Scheme: Stability and Applications to the Kinetic and Fluid Simulations Tao XiongGiovanni RussoJing-Mei Qiu OriginalPaper 19 December 2018 Pages: 1241 - 1270
Ensemble Time-Stepping Algorithm for the Convection-Diffusion Equation with Random Diffusivity Ning LiJoseph FiordilinoXinlong Feng OriginalPaper 11 December 2018 Pages: 1271 - 1293
Local Discontinuous Galerkin Methods for the \(\mu \)-Camassa–Holm and \(\mu \)-Degasperis–Procesi Equations Chao ZhangYan XuYinhua Xia OriginalPaper 15 December 2018 Pages: 1294 - 1334
Sensitivity-Driven Adaptive Construction of Reduced-space Surrogates Manav VohraAlen AlexanderianSankaran Mahadevan OriginalPaper 18 December 2018 Pages: 1335 - 1359
