Issue 3/2020
Content (29 Articles)
Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald–Letnikov Formulae with Nonsmooth Data
Yanyong Wang, Yuyuan Yan, Yubin Yan, Amiya K. Pani
Group Sparse Representation for Restoring Blurred Images with Cauchy Noise
Sangwon Lee, Myungjoo Kang
Skew-Symmetric Splitting for Multiscale Gas Dynamics and MHD Turbulence Flows
Björn Sjögreen, H. C. Yee, Dmitry Kotov, Alexei G. Kritsuk
Non-Eulerian Newmark Methods: A Powerful Tool for Free-Boundary Continuum Mechanics Problems
M. Benítez, A. Bermúdez, P. Fontán
Penalty-Free Any-Order Weak Galerkin FEMs for Elliptic Problems on Quadrilateral Meshes
Jiangguo Liu, Simon Tavener, Zhuoran Wang
Finite Difference/Finite Element Method for Tempered Time Fractional Advection–Dispersion Equation with Fast Evaluation of Caputo Derivative
Jiliang Cao, Aiguo Xiao, Weiping Bu
An Edge Detector Based on Artificial Neural Network with Application to Hybrid Compact-WENO Finite Difference Scheme
Xiao Wen, Wai Sun Don, Zhen Gao, Jan S. Hesthaven
Structure-Preserving Numerical Approximations to a Non-isothermal Hydrodynamic Model of Binary Fluid Flows
Shouwen Sun, Jun Li, Jia Zhao, Qi Wang
Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients
Samir Karaa, Amiya K. Pani
A Posteriori Error Estimates of Virtual Element Method for a Simplified Friction Problem
Yanling Deng, Fei Wang, Huayi Wei
A Hybrid Finite Difference WENO-ZQ Fast Sweeping Method for Static Hamilton–Jacobi Equations
Yupeng Ren, Tao Xiong, Jianxian Qiu
POD–Galerkin Model Order Reduction for Parametrized Time Dependent Linear Quadratic Optimal Control Problems in Saddle Point Formulation
Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza
Nanofluid Heat Transfer in Wavy-Wall Channels with Different Geometries: A Finite-Volume Lattice Boltzmann Study
Giovanni Di Ilio, Stefano Ubertini, Sauro Succi, Giacomo Falcucci
Error Analysis of a Decoupled, Linear Stabilization Scheme for the Cahn–Hilliard Model of Two-Phase Incompressible Flows
Zhen Xu, Xiaofeng Yang, Hui Zhang
An Equilibrated a Posteriori Error Estimator for Arbitrary-Order Nédélec Elements for Magnetostatic Problems
Joscha Gedicke, Sjoerd Geevers, Ilaria Perugia
Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations
Lu Zhang, Qifeng Zhang, Hai-Wei Sun
A Spectral Element Method for Option Pricing Under Regime-Switching with Jumps
Geraldine Tour, Nawdha Thakoor, Jingtang Ma, Désiré Yannick Tangman
A General Non-hydrostatic Hyperbolic Formulation for Boussinesq Dispersive Shallow Flows and Its Numerical Approximation
C. Escalante, T. Morales de Luna
Fully-Discrete Analysis of High-Order Spatial Discretizations with Optimal Explicit Runge–Kutta Methods
Carlos A. Pereira, Brian C. Vermeire
Linearly Implicit and High-Order Energy-Conserving Schemes for Nonlinear Wave Equations
Dongfang Li, Weiwei Sun
Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations
Xiao Wen, Wai Sun Don, Zhen Gao, Yulong Xing
A High Accuracy Nonconforming Finite Element Scheme for Helmholtz Transmission Eigenvalue Problem
Yingxia Xi, Xia Ji, Shuo Zhang
Deferred Correction Methods for Ordinary Differential Equations
Benjamin W. Ong, Raymond J. Spiteri