Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations
Jayesh Badwaik, Praveen Chandrashekar, Christian Klingenberg
Communications on Applied Mathematics and Computation. 2020 Vol. 2 (4): 541-579 doi: 10.1007/s42967-019-00054-5
Abstract16215)      PDF (5780KB)(3947)   
A Unified Petrov–Galerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential Equations
Mehdi Samiee, Ehsan Kharazmi, Mark M. Meerschaert, Mohsen Zayernouri
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 61-90 doi: 10.1007/s42967-020-00070-w
Abstract1612)      PDF (4100KB)(2232)   
Randomized Generalized Singular Value Decomposition
Wei Wei, Hui Zhang, Xi Yang, Xiaoping Chen
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 137-156 doi: 10.1007/s42967-020-00061-x
Abstract1939)      PDF (2742KB)(1125)   
A Modified Weak Galerkin Finite Element Method for the Biharmonic Equation on Polytopal Meshes
Ming Cui, Xiu Ye, Shangyou Zhang
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 91-105 doi: 10.1007/s42967-020-00071-9
Abstract2150)      PDF (3004KB)(1006)   
Efficient Difference Schemes for the Caputo-Tempered Fractional Diffusion Equations Based on Polynomial Interpolation
Le Zhao, Can Li, Fengqun Zhao
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 1-40 doi: 10.1007/s42967-020-00067-5
Abstract2359)      PDF (4910KB)(955)   
Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Diference Summation by Parts Operators
Hendrik Ranocha, Katharina Ostaszewski, Philip Heinisch
Communications on Applied Mathematics and Computation. 2020 Vol. 2 (4): 581-611 doi: 10.1007/s42967-019-00057-2
Abstract1163)      PDF (3566KB)(923)   
The Nonlinear Lopsided HSS-Like Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems with Positive-Definite Matrices
Lu Jia, Xiang Wang, Xiao-Yong Xiao
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 109-122 doi: 10.1007/s42967-019-00038-5
Abstract1630)      PDF (1718KB)(748)   
A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Difusion Equations
Somayeh Yeganeh, Reza Mokhtari, Jan S. Hesthaven
Communications on Applied Mathematics and Computation. 2020 Vol. 2 (4): 689-709 doi: 10.1007/s42967-020-00065-7
Abstract849)      PDF (2355KB)(717)   
A Class of Preconditioners Based on Positive-Definite Operator Splitting Iteration Methods for Variable-Coefficient Space-Fractional Diffusion Equations
Jun-Feng Yin, Yi-Shu Du
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 157-176 doi: 10.1007/s42967-020-00069-3
Abstract1619)      PDF (3359KB)(658)   
Second-Order Finite Diference/Spectral Element Formulation for Solving the Fractional Advection-Difusion Equation
Mostafa Abbaszadeh, Hanieh Amjadian
Communications on Applied Mathematics and Computation. 2020 Vol. 2 (4): 653-669 doi: 10.1007/s42967-020-00060-y
Abstract1461)      PDF (1880KB)(652)   
A Finite Diference Method for Space Fractional Diferential Equations with Variable Difusivity Coefcient
K. A. Mustapha, K. M. Furati, O. M. Knio, O. P. Le Maître
Communications on Applied Mathematics and Computation. 2020 Vol. 2 (4): 671-688 doi: 10.1007/s42967-020-00066-6
Abstract1337)      PDF (2321KB)(624)   
A Numerical Algorithm for the Caputo Tempered Fractional Advection-Diffusion Equation
Wenhui Guan, Xuenian Cao
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 41-59 doi: 10.1007/s42967-020-00080-8
Abstract1980)      PDF (2238KB)(554)   
On Convergence of MRQI and IMRQI Methods for Hermitian Eigenvalue Problems
Fang Chen, Cun, Qiang Miao, Galina V. Muratova
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 189-197 doi: 10.1007/s42967-020-00079-1
Abstract1899)      PDF (1426KB)(545)   
Two Structure-Preserving-Doubling Like Algorithms to Solve the Positive Definite Solution of the Equation X - AHX-1A = Q
Xiao-Xia Guo, Hong-Xiao Wu
Communications on Applied Mathematics and Computation. 2021 Vol. 3 (1): 123-135 doi: 10.1007/s42967-020-00062-w
Abstract1557)      PDF (1584KB)(522)   
Numerical Analysis of Linear and Nonlinear Time-Fractional Subdiffusion Equations
Yubo Yang, Fanhai Zeng
Communications on Applied Mathematics and Computation. 2019 Vol. 1 (4): 621-637 doi: 10.1007/s42967-019-00033-w
Abstract17040)      PDF   
Nonlocal Flocking Dynamics: Learning the Fractional Order of PDEs from Particle Simulations
Zhiping Mao, Zhen Li, George Em Karniadakis
Communications on Applied Mathematics and Computation. 2019 Vol. 1 (4): 597-619 doi: 10.1007/s42967-019-00031-y
Abstract9325)      PDF   
Some Criteria for H-Tensors
Guangbin Wang, Fuping Tan
Communications on Applied Mathematics and Computation. 2020 Vol. 2 (4): 641-651 doi: 10.1007/s42967-019-00059-0
Abstract999)      PDF (1277KB)(422)   
High-Order Local Discontinuous Galerkin Algorithm with Time Second-Order Schemes for the Two-Dimensional Nonlinear Fractional Difusion Equation
Min Zhang, Yang Liu, Hong Li
Communications on Applied Mathematics and Computation. 2020 Vol. 2 (4): 613-640 doi: 10.1007/s42967-019-00058-1
Abstract1369)      PDF (2890KB)(381)   
A Note on the Adaptive Simpler Block GMRES Method
Qiaohua Liu, Lei Yao, Aijing Liu
Communications on Applied Mathematics and Computation. 2019 Vol. 1 (3): 435-447 doi: 10.1007/s42967-019-00022-z
Abstract16921)      PDF   
Conservative Discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System
Francis Filbet, Tao Xiong
Communications on Applied Mathematics and Computation. 2022 Vol. 4 (1): 34-59 doi: 10.1007/s42967-020-00089-z
Abstract9358)      PDF