Year:    2018

CAM-Net Digest, Vol. 15 (2018), Iss. 17 : p. 15

Abstract

In this issue

A Numerically Efficient Dissipation-Preserving Implicit Method for a Nonlinear M
ultidimensional Fractional Wave Equation 
Jorge E. Macías-Díaz

The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term 
Time–Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain 
Wenping Fan, Xiaoyun Jiang, Fawang Liu & Vo Anh

A Least-Squares/Relaxation Method for the Numerical Solution of the Three-Dimensional 
Elliptic Monge–Ampère Equation 
Alexandre Caboussat, Roland Glowinski & Dimitrios Gourzoulidis

An Efficient Algorithm for Matrix-Valued and Vector-Valued Optimal Mass Transport 
Yongxin Chen, Eldad Haber, Kaoru Yamamoto, Tryphon T. Georgiou & Allen Tannenbaum

MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian 
Long Chen, Yongke Wu, Lin Zhong & Jie Zhou

Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus 
Roberto Garrappa & Marina Popolizio

The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations 
Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang & David A. Kopriva

Correction to: The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations 
Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang & David A. Kopriva

Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects 
Harbir Antil, Enrique Otárola & Abner J. Salgado

Stability and Convergence Analysis of a Class of Continuous Piecewise Polynomial 
Approximations for Time-Fractional Differential Equations 
Han Zhou & Paul Andries Zegeling

High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler 
Equation and the Guiding-Center Vlasov Equation 
Tao Xiong, Giovanni Russo & Jing-Mei Qiu

A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators 
Fanhai Zeng, Ian Turner & Kevin Burrage

Finite Element Approximation for the Fractional Eigenvalue Problem 
Juan Pablo Borthagaray, Leandro M. Del Pezzo & Sandra Martínez

High Spatial Order Energy Stable FDTD Methods for Maxwell’s Equations in Nonlinear Optical Media in One Dimension 
Vrushali A. Bokil, Yingda Cheng, Yan Jiang, Fengyan Li & Puttha Sakkaplangkul    

Dispersion Properties of Explicit Finite Element Methods for Wave Propagation Modelling on Tetrahedral Meshes 
S. Geevers, W. A. Mulder & J. J. W. van der Vegt

Curvilinear Mesh Adaptation Using Radial Basis Function Interpolation and Smoothing 
Vidhi Zala, Varun Shankar, Shankar P. Sastry & Robert M. Kirby

A Robust Numerical Method for the Random Interface Grating Problem via Shape Calculus, 
Weak Galerkin Method, and Low-Rank Approximation 
Gang Bao, Yanzhao Cao, Yongle Hao & Kai Zhang

Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations 
Mark Ainsworth & Guosheng Fu

A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems 
Hailiang Liu & Peimeng Yin

A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations 
Hee Jun Yang & Hyea Hyun Kim

A Sparse Grid Stochastic Collocation Upwind Finite Volume Element Method for the Constrained Optimal 
Control Problem Governed by Random Convection Diffusion Equations 
Liang Ge, Lianhai Wang & Yanzhen Chang

Hybrid Optimized Low-Dissipation and Adaptive MUSCL Reconstruction Technique for Hyperbolic Conservation Laws 
Jie Wu, Yuan-yuan He, Guo-hao Ding & Yi-yu Han

Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels 
B. W. Wissink, G. B. Jacobs, J. K. Ryan, W. S. Don & E. T. A. van der Weide

PCBC: Quasiconformality of Point Cloud Mappings 
Tingwei Meng & Lok Ming Lui

A Linear Implicit Finite Difference Discretization of the Schrödinger–Hirota Equation 
Georgios E. Zouraris

Efficient Spectral Methods for Some Singular Eigenvalue Problems 
Suna Ma, Huiyuan Li & Zhimin Zhang

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