Issue 1/2018
Content (26 Articles)
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
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