Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations Hong-lin LiaoYonggui YanJiwei Zhang OriginalPaper 18 February 2019 Pages: 1 - 25
Efficient Numerical Algorithms Based on Difference Potentials for Chemotaxis Systems in 3D Yekaterina EpshteynQing Xia OriginalPaper 20 February 2019 Pages: 26 - 59
Virtual Element Methods for Elliptic Variational Inequalities of the Second Kind Fang FengWeimin HanJianguo Huang OriginalPaper 01 March 2019 Pages: 60 - 80
A High-Order Algorithm for Time-Caputo-Tempered Partial Differential Equation with Riesz Derivatives in Two Spatial Dimensions Hengfei DingChangpin Li OriginalPaper 02 March 2019 Pages: 81 - 109
Fractional Sensitivity Equation Method: Application to Fractional Model Construction Ehsan KharazmiMohsen Zayernouri OriginalPaper 09 March 2019 Pages: 110 - 140
New Mixed Finite Element Methods for Natural Convection with Phase-Change in Porous Media Mario AlvarezGabriel N. GaticaRicardo Ruiz-Baier OriginalPaper 06 March 2019 Pages: 141 - 174
Entropy Stable Space–Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws Lucas FriedrichGero SchnückeMark H. Carpenter OriginalPaper 04 March 2019 Pages: 175 - 222
Numerical Approximation of a Phase-Field Surfactant Model with Fluid Flow Guangpu ZhuJisheng KouAifen Li OriginalPaper 07 March 2019 Pages: 223 - 247
Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs Zhiwei FangJichun LiTao Zhou OriginalPaper 07 March 2019 Pages: 248 - 267
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element Ruo LiPingbing MingZhijian Yang OriginalPaper 14 March 2019 Pages: 268 - 288
Leapfrog Time-Stepping for Hermite Methods Arturo VargasThomas HagstromTim Warburton OriginalPaper 18 March 2019 Pages: 289 - 314
A Pressure-Correction Ensemble Scheme for Computing Evolutionary Boussinesq Equations Nan Jiang OriginalPaper 19 March 2019 Pages: 315 - 350
Dynamic Programming for Finite Ensembles of Nanomagnetic Particles Max JensenAnanta K. MajeeChristian Schellnegger OriginalPaper Open access 16 March 2019 Pages: 351 - 375
Analysis and Entropy Stability of the Line-Based Discontinuous Galerkin Method Will PaznerPer-Olof Persson OriginalPaper 20 March 2019 Pages: 376 - 402
Linearized Galerkin FEMs for Nonlinear Time Fractional Parabolic Problems with Non-smooth Solutions in Time Direction Dongfang LiChengda WuZhimin Zhang OriginalPaper 22 March 2019 Pages: 403 - 419
An HDG Method for the Time-dependent Drift–Diffusion Model of Semiconductor Devices Gang ChenPeter MonkYangwen Zhang OriginalPaper 03 April 2019 Pages: 420 - 443
Adaptive Concepts for Stochastic Partial Differential Equations Andreas ProhlChristian Schellnegger OriginalPaper 28 March 2019 Pages: 444 - 474
A Monge–Ampère Problem with Non-quadratic Cost Function to Compute Freeform Lens Surfaces N. K. YadavJ. H. M. ten Thije BoonkkampW. L. IJzerman OriginalPaper Open access 27 March 2019 Pages: 475 - 499
Second Order Linear Energy Stable Schemes for Allen-Cahn Equations with Nonlocal Constraints Xiaobo JingJun LiQi Wang OriginalPaper 05 April 2019 Pages: 500 - 537
A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations Yuanzhen ChengAlina ChertockTong Wu OriginalPaper 02 April 2019 Pages: 538 - 554
Multiscale Polynomial-Based High-Order Central High Resolution Schemes Hassan YousefiSoheil MohammadiTimon Rabczuk OriginalPaper 29 March 2019 Pages: 555 - 613
Filtered Discrete Ordinates Equations for Radiative Transport Cory HauckVincent Heningburg OriginalPaper 03 May 2019 Pages: 614 - 648
A Positivity Preserving Moving Mesh Finite Element Method for the Keller–Segel Chemotaxis Model M. SulmanT. Nguyen OriginalPaper 27 March 2019 Pages: 649 - 666
A Meshless Finite Difference Method Based on Polynomial Interpolation X. W. HuangC. S. Wu OriginalPaper 02 April 2019 Pages: 667 - 691
High-Order Low-Dissipation Targeted ENO Schemes for Ideal Magnetohydrodynamics Lin FuQi Tang Technical Note 18 March 2019 Pages: 692 - 716
