An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property Lucas FriedrichAndrew R. WintersMark H. Carpenter Review Paper 12 May 2018 Pages: 689 - 725
Numerical Methods for Euler Equations with Self-similar and Quasi Self-similar Solutions Haitao DongFujun Liu OriginalPaper 18 May 2018 Pages: 726 - 754
A Stable Domain Decomposition Technique for Advection–Diffusion Problems Oskar ÅlundJan Nordström OriginalPaper Open access 05 May 2018 Pages: 755 - 774
An Improved High Order Finite Difference Method for Non-conforming Grid Interfaces for the Wave Equation Siyang Wang OriginalPaper Open access 09 May 2018 Pages: 775 - 792
A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations Huadong GaoPengtao Sun OriginalPaper 21 May 2018 Pages: 793 - 817
Correction to: A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations Huadong GaoPengtao Sun Correction 21 June 2018 Pages: 818 - 818
Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration Debojyoti GhoshMikhail A. DorfJeffrey A. F. Hittinger OriginalPaper 12 May 2018 Pages: 819 - 849
All Mach Number Second Order Semi-implicit Scheme for the Euler Equations of Gas Dynamics S. BoscarinoG. RussoL. Scandurra OriginalPaper 23 May 2018 Pages: 850 - 884
A Double-Layer Reduced Model for Fault Flow on Slipping Domains with an Hybrid Finite Volume Scheme Alessio FumagalliIsabelle Faille OriginalPaper 14 June 2018 Pages: 885 - 910
Image Colorization Based on a Generalization of the Low Dimensional Manifold Model Myeongmin KangMyungjoo KangMiyoun Jung OriginalPaper 15 May 2018 Pages: 911 - 935
Approximate Homogenization of Fully Nonlinear Elliptic PDEs: Estimates and Numerical Results for Pucci Type Equations Chris FinlayAdam M. Oberman OriginalPaper 11 May 2018 Pages: 936 - 949
Limited Memory Block Preconditioners for Fast Solution of Fractional Partial Differential Equations Daniele BertacciniFabio Durastante OriginalPaper 11 May 2018 Pages: 950 - 970
Numerical Preservation of Velocity Induced Invariant Regions for Reaction–Diffusion Systems on Evolving Surfaces Massimo FrittelliAnotida MadzvamuseChandrasekhar Venkataraman OriginalPaper Open access 01 June 2018 Pages: 971 - 1000
Stability Analysis and Error Estimates of Semi-implicit Spectral Deferred Correction Coupled with Local Discontinuous Galerkin Method for Linear Convection–Diffusion Equations Lingling ZhouYan Xu OriginalPaper 17 May 2018 Pages: 1001 - 1029
CBS Constants & Their Role in Error Estimation for Stochastic Galerkin Finite Element Methods Adam J. CrowderCatherine E. Powell OriginalPaper Open access 19 May 2018 Pages: 1030 - 1054
Explicit Runge–Kutta Methods for Stiff Problems with a Gap in Their Eigenvalue Spectrum Philippe BocherJuan I. MontijanoMarnix Van Daele OriginalPaper 23 May 2018 Pages: 1055 - 1083
An Implicit Eulerian–Lagrangian WENO3 Scheme for Nonlinear Conservation Laws Chieh-Sen HuangTodd Arbogast OriginalPaper 24 May 2018 Pages: 1084 - 1114
A Closed-Form Formula for the RBF-Based Approximation of the Laplace–Beltrami Operator Diego ÁlvarezPedro González-RodríguezMiguel Moscoso OriginalPaper 29 May 2018 Pages: 1115 - 1132
Stochastic Backward Euler: An Implicit Gradient Descent Algorithm for k-Means Clustering Penghang YinMinh PhamStanley Osher OriginalPaper 31 May 2018 Pages: 1133 - 1146
Direct Discretization Method for the Cahn–Hilliard Equation on an Evolving Surface Yibao LiXuelin QiJunseok Kim OriginalPaper 29 May 2018 Pages: 1147 - 1163
A Time-Spectral Algorithm for Fractional Wave Problems Binjie LiHao LuoXiaoping Xie OriginalPaper 20 June 2018 Pages: 1164 - 1184
On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn–Hilliard Phase-Field Equation Lin WangHaijun Yu OriginalPaper 31 May 2018 Pages: 1185 - 1209
A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn–Hilliard–Darcy System Daozhi HanXiaoming Wang OriginalPaper 05 June 2018 Pages: 1210 - 1233
A Robust Solver for a Mixed Finite Element Method for the Cahn–Hilliard Equation Susanne C. BrennerAmanda E. DiegelLi-Yeng Sung OriginalPaper 13 June 2018 Pages: 1234 - 1249
A New Robust Carbuncle-Free Roe Scheme for Strong Shock Shu-sheng ChenChao YanYan-su Li OriginalPaper 01 June 2018 Pages: 1250 - 1277
High-fidelity Sound Propagation in a Varying 3D Atmosphere Ylva RydinKen MattssonJonatan Werpers OriginalPaper Open access 06 June 2018 Pages: 1278 - 1302
