A Numerically Efficient Dissipation-Preserving Implicit Method for a Nonlinear Multidimensional Fractional Wave Equation Jorge E. Macías-Díaz OriginalPaper 08 March 2018 Pages: 1 - 26
The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time–Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain Wenping FanXiaoyun JiangVo Anh OriginalPaper 14 March 2018 Pages: 27 - 52
A Least-Squares/Relaxation Method for the Numerical Solution of the Three-Dimensional Elliptic Monge–Ampère Equation Alexandre CaboussatRoland GlowinskiDimitrios Gourzoulidis OriginalPaper Open access 22 March 2018 Pages: 53 - 78
An Efficient Algorithm for Matrix-Valued and Vector-Valued Optimal Mass Transport Yongxin ChenEldad HaberAllen Tannenbaum OriginalPaper 16 March 2018 Pages: 79 - 100
MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian Long ChenYongke WuJie Zhou OriginalPaper 21 March 2018 Pages: 101 - 128
Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus Roberto GarrappaMarina Popolizio OriginalPaper 22 March 2018 Pages: 129 - 153
The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations Gregor J. GassnerAndrew R. WintersDavid A. Kopriva OriginalPaper 05 April 2018 Pages: 154 - 200
Correction to: The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations Gregor J. GassnerAndrew R. WintersDavid A. Kopriva Correction 18 June 2018 Pages: 201 - 203
Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects Harbir AntilEnrique OtárolaAbner J. Salgado OriginalPaper 28 March 2018 Pages: 204 - 224
Stability and Convergence Analysis of a Class of Continuous Piecewise Polynomial Approximations for Time-Fractional Differential Equations Han ZhouPaul Andries Zegeling OriginalPaper Open access 02 May 2018 Pages: 225 - 262
High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler Equation and the Guiding-Center Vlasov Equation Tao XiongGiovanni RussoJing-Mei Qiu OriginalPaper 12 April 2018 Pages: 263 - 282
A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators Fanhai ZengIan TurnerKevin Burrage OriginalPaper 26 April 2018 Pages: 283 - 307
Finite Element Approximation for the Fractional Eigenvalue Problem Juan Pablo BorthagarayLeandro M. Del PezzoSandra Martínez OriginalPaper 21 April 2018 Pages: 308 - 329
High Spatial Order Energy Stable FDTD Methods for Maxwell’s Equations in Nonlinear Optical Media in One Dimension Vrushali A. BokilYingda ChengPuttha Sakkaplangkul OriginalPaper 24 April 2018 Pages: 330 - 371
Dispersion Properties of Explicit Finite Element Methods for Wave Propagation Modelling on Tetrahedral Meshes S. GeeversW. A. MulderJ. J. W. van der Vegt OriginalPaper Open access 20 April 2018 Pages: 372 - 396
Curvilinear Mesh Adaptation Using Radial Basis Function Interpolation and Smoothing Vidhi ZalaVarun ShankarRobert M. Kirby OriginalPaper 19 April 2018 Pages: 397 - 418
A Robust Numerical Method for the Random Interface Grating Problem via Shape Calculus, Weak Galerkin Method, and Low-Rank Approximation Gang BaoYanzhao CaoKai Zhang OriginalPaper 23 April 2018 Pages: 419 - 442
Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations Mark AinsworthGuosheng Fu OriginalPaper 23 April 2018 Pages: 443 - 466
A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems Hailiang LiuPeimeng Yin OriginalPaper 13 June 2018 Pages: 467 - 501
A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations Hee Jun YangHyea Hyun Kim OriginalPaper 23 April 2018 Pages: 502 - 523
A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations Liang GeLianhai WangYanzhen Chang OriginalPaper 26 April 2018 Pages: 524 - 551
Hybrid Optimized Low-Dissipation and Adaptive MUSCL Reconstruction Technique for Hyperbolic Conservation Laws Jie WuYuan-yuan HeYi-yu Han OriginalPaper 23 April 2018 Pages: 552 - 578
Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels B. W. WissinkG. B. JacobsE. T. A. van der Weide OriginalPaper 30 April 2018 Pages: 579 - 596
PCBC: Quasiconformality of Point Cloud Mappings Tingwei MengLok Ming Lui OriginalPaper 15 May 2018 Pages: 597 - 633
A Linear Implicit Finite Difference Discretization of the Schrödinger–Hirota Equation Georgios E. Zouraris OriginalPaper 28 April 2018 Pages: 634 - 656
Efficient Spectral Methods for Some Singular Eigenvalue Problems Suna MaHuiyuan LiZhimin Zhang OriginalPaper 17 May 2018 Pages: 657 - 688