Communications on Applied Mathematics and Computation Short Title: Commun. Appl. Math. Comput. Publisher: Springer, Singapore ISSN: 2096-6385; 2661-8893/e Online: https://link.springer.com/journal/volumesAndIssues/42967 Predecessor: Communication on Applied Mathematics and Computation Documents Indexed: 168 Publications (since 2019) References Indexed: 163 Publications with 5,873 References. all top 5 Latest Issues 5, No. 1 (2023) 4, No. 4 (2022) 4, No. 3 (2022) 4, No. 2 (2022) 4, No. 1 (2022) 3, No. 4 (2021) 3, No. 3 (2021) 3, No. 2 (2021) 3, No. 1 (2021) 2, No. 4 (2020) 2, No. 3 (2020) 2, No. 2 (2020) 2, No. 1 (2020) 1, No. 4 (2019) 1, No. 3 (2019) 1, No. 2 (2019) 1, No. 1 (2019) all top 5 Authors 10 Shu, Chi-Wang 4 Hesthaven, Jan S. 4 Ryan, Jennifer K. 4 Zhang, Qiang 3 Abgrall, Rémi 3 Balsara, Dinshaw S. 3 Gottlieb, Sigal 3 Mokhtari, Reza 3 Ranocha, Hendrik 3 Zhang, Shangyou 3 Zhu, Jun 2 Appelö, Daniel 2 Chung, Tsz Shun Eric 2 Dedner, Andreas S. 2 Ding, Hengfei 2 Du, Jie 2 Du, Qiang 2 Dumbser, Michael 2 Grant, Zachary J. 2 Guo, Wei 2 Harfash, Akil Jassim 2 Hashim, Mohammed Homod 2 Izzo, Giuseppe 2 Käppeli, Roger 2 Knio, Omar M. 2 Kurganov, Alexander 2 Li, Changpin 2 Li, Huiyuan 2 Li, Xiaozhou 2 Lin, Yanping 2 Mao, Zhiping 2 Ng, Michael Kwok-Po 2 Pareschi, Lorenzo 2 Puppo, Gabriella 2 Qi, Liqun 2 Qiu, Jianxian 2 Qiu, Jingmei 2 Russo, Giovanni 2 Semplice, Matteo 2 Sun, Zhizhong 2 Tan, Fuping 2 van der Vegt, Jaap J. W. 2 Wang, Guangbin 2 Wang, Lilian 2 Wu, Kailiang 2 Wu, Qingqing 2 Xia, Yinhua 2 Xiu, Dongbin 2 Xu, Yan 2 Yang, Yang 2 Ye, Xiu 2 Zeng, Xiaoyan 2 Zhang, Mengping 2 Zhang, Yongtao 2 Zhang, Zhimin 1 Abbaszadeh, Mostafa 1 Adeyemo, Oke Davies 1 Afshin, Hamidreza 1 Ainsworth, Mark 1 Aksoylu, Burak 1 Al-Taweel, Ahmed 1 Alattas, Khalid A. 1 Albi, Giacomo 1 Aliabadi, Mohsen 1 Alzahrani, Hasnaa 1 Amjadian, Hanieh 1 Antonietti, Paola Francesca 1 Baccouch, Mahboub 1 Badwaik, Jayesh 1 Baharlouei, Shima 1 Bakouch, Hassan Salah 1 Băleanu, Dumitru I. 1 Batselier, Kim 1 Beznosov, Oleksii 1 Biswas, Biswarup 1 Boscarino, Sebastiano 1 Boscheri, Walter 1 Botti, Lorenzo 1 Boumenir, Amin A. 1 Burman, Erik 1 Cai, Xiaofeng 1 Canuto, Claudio 1 Cao, Junying 1 Cao, Xuenian 1 Cao, Zhengbang 1 Celiker, Fatih 1 Çeşmelioğlu, Ayçıl 1 Chacha, Chacha Stephen 1 Chandrashekar, Praveen 1 Chang, Ruimeng 1 Chegini, Nabi G. 1 Chen, Chuchu 1 Chen, Fang 1 Chen, Gang 1 Chen, Xiaoli 1 Chen, Xiaoping 1 Chen, Zheng 1 Cheng, Yingda 1 Chesneau, Christophe 1 Christlieb, Andrew J. ...and 264 more Authors all top 5 Fields 143 Numerical analysis (65-XX) 87 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 15 Real functions (26-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 8 Ordinary differential equations (34-XX) 8 Biology and other natural sciences (92-XX) 7 Probability theory and stochastic processes (60-XX) 6 General and overarching topics; collections (00-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 3 Special functions (33-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 207 times in 194 Documents Cited by ▼ Year ▼ T-Jordan canonical form and T-Drazin inverse based on the T-product. Zbl 1476.15045Miao, Yun; Qi, Liqun; Wei, Yimin 16 2021 A high order formula to approximate the Caputo fractional derivative. Zbl 1449.65195Mokhtari, R.; Mostajeran, F. 9 2020 A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. Zbl 1476.65272Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen 7 2021 Solving interface problems of the Helmholtz equation by immersed finite element methods. Zbl 1449.65319Lin, Tao; Lin, Yanping; Zhuang, Qiao 6 2019 A new spectral method using nonstandard singular basis functions for time-fractional differential equations. Zbl 1463.65325Liu, Wenjie; Wang, Li-Lian; Xiang, Shuhuang 6 2019 Nonlocal flocking dynamics: learning the fractional order of PDEs from particle simulations. Zbl 1449.35447Mao, Zhiping; Li, Zhen; Karniadakis, George Em 6 2019 Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study. Zbl 1476.65200Zhu, Jun; Shu, Chi-Wang 6 2020 A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions. Zbl 1449.65223Grant, Zachary; Gottlieb, Sigal; Seal, David C. 5 2019 Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1449.65250Liu, Yong; Shu, Chi-Wang; Zhang, Mengping 5 2019 A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. Zbl 1449.65272Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco 5 2019 \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations. Zbl 1449.65334Li, Huiyuan; Shan, Weikun; Zhang, Zhimin 5 2019 A split-step predictor-corrector method for space-fractional reaction-diffusion equations with nonhomogeneous boundary conditions. Zbl 1449.65186Kazmi, Kamran; Khaliq, Abdul 5 2019 Modeling and computing of fractional convection equation. Zbl 1463.65229Li, Changpin; Yi, Qian 5 2019 Numerical analysis of linear and nonlinear time-fractional subdiffusion equations. Zbl 1463.65398Yang, Yubo; Zeng, Fanhai 5 2019 Numerical computations of nonlocal Schrödinger equations on the real line. Zbl 1449.82004Yan, Yonggui; Zhang, Jiwei; Zheng, Chunxiong 5 2020 Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152Abbaszadeh, Mostafa; Amjadian, Hanieh 5 2020 Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems. Zbl 1449.33014Yu, Xuhong; Wang, Zhongqing; Li, Huiyuan 4 2019 The INTERNODES method for non-conforming discretizations of PDEs. Zbl 1449.65344Gervasio, Paola; Quarteroni, Alfio 4 2019 An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates. Zbl 1449.65331Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong 4 2020 A finite difference method for space fractional differential equations with variable diffusivity coefficient. Zbl 1477.65139Mustapha, K. A.; Furati, K. M.; Knio, O. M.; Le Maître, O. P. 4 2020 A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations. Zbl 1476.65260Yeganeh, Somayeh; Mokhtari, Reza; Hesthaven, Jan S. 4 2020 Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes. Zbl 07570480Ranocha, Hendrik; Gassner, Gregor J. 3 2022 A general fractional pollution model for lakes. Zbl 07570486Shiri, Babak; Baleanu, Dumitru 3 2022 Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. Zbl 1499.65305Sun, Zheng; Shu, Chi-Wang 3 2021 A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems. Zbl 1449.65242Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan 3 2020 Finite element convergence for state-based peridynamic fracture models. Zbl 1463.74103Jha, Prashant K.; Lipton, Robert 3 2020 High-order local discontinuous Galerkin algorithm with time second-order schemes for the two-dimensional nonlinear fractional diffusion equation. Zbl 1476.65261Zhang, Min; Liu, Yang; Li, Hong 3 2020 \(p\)-multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation. Zbl 07570477Botti, Lorenzo; Di Pietro, Daniele A. 2 2022 Finite element analysis of attraction-repulsion chemotaxis system. I: Space convergence. Zbl 07570484Hashim, Mohammed Homod; Harfash, Akil J. 2 2022 Finite element analysis of attraction-repulsion chemotaxis system. II: Time convergence, error analysis and numerical results. Zbl 07570485Hashim, Mohammed Homod; Harfash, Akil J. 2 2022 Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system. Zbl 1499.76096Filbet, Francis; Xiong, Tao 2 2022 A compatible embedded-hybridized discontinuous Galerkin method for the Stokes-Darcy-transport problem. Zbl 1499.65647Cesmelioglu, Aycil; Rhebergen, Sander 2 2022 Adaptive moving mesh central-upwind schemes for hyperbolic system of PDEs: applications to compressible Euler equations and granular hydrodynamics. Zbl 1499.65460Kurganov, Alexander; Qu, Zhuolin; Rozanova, Olga S.; Wu, Tong 2 2021 A cubic \(H^3\)-nonconforming finite element. Zbl 1449.65315Hu, Jun; Zhang, Shangyou 2 2019 Multi-domain decomposition pseudospectral method for nonlinear Fokker-Planck equations. Zbl 1449.65279Sun, Tao; Wang, Tian-Jun 2 2019 An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case. Zbl 1449.65310Antonietti, Paola; Canuto, Claudio; Verani, Marco 2 2019 Local discontinuous Galerkin scheme for space fractional Allen-Cahn equation. Zbl 1463.65301Li, Can; Liu, Shuming 2 2020 A high-order scheme for fractional ordinary differential equations with the Caputo-Fabrizio derivative. Zbl 1463.65219Cao, Junying; Wang, Ziqiang; Xu, Chuanju 2 2020 An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients. Zbl 1463.65233Lin, Xue-Lei; Lyu, Pin; Ng, Michael K.; Sun, Hai-Wei; Vong, Seakweng 2 2020 Jacobi collocation methods for solving generalized space-fractional Burgers’ equations. Zbl 1449.65280Wu, Qingqing; Zeng, Xiaoyan 2 2020 The notion of conservation for residual distribution schemes (or fluctuation splitting schemes), with some applications. Zbl 1476.65202Abgrall, Rémi 2 2020 ADER methods for hyperbolic equations with a time-reconstruction solver for the generalized Riemann problem: the scalar case. Zbl 1476.65204Demattè, R.; Titarev, V. A.; Montecinos, G. I.; Toro, E. F. 2 2020 An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem. Zbl 1476.65207Jöns, Steven; Munz, Claus-Dieter 2 2020 Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system. Zbl 1499.65528Sun, Jiawei; Xie, Shusen; Xing, Yulong 1 2022 Capitalizing on superconvergence for more accurate multi-resolution discontinuous Galerkin methods. Zbl 1499.65522Ryan, Jennifer K. 1 2022 Convergence and superconvergence of the local discontinuous Galerkin method for semilinear second-order elliptic problems on Cartesian grids. Zbl 1499.65624Baccouch, Mahboub 1 2022 Dual-wind discontinuous Galerkin methods for stationary Hamilton-Jacobi equations and regularized Hamilton-Jacobi equations. Zbl 1499.65656Feng, Xiaobing; Lewis, Thomas; Rapp, Aaron 1 2022 Hybrid high-order methods for the acoustic wave equation in the time domain. Zbl 1499.65483Burman, Erik; Duran, Omar; Ern, Alexandre 1 2022 On iterative algorithm and perturbation analysis for the nonlinear matrix equation. Zbl 07570488Chacha, Chacha Stephen 1 2022 Dual quaternions and dual quaternion vectors. Zbl 07601436Qi, Liqun; Ling, Chen; Yan, Hong 1 2022 Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations. Zbl 1499.65484Cai, Xiaofeng; Guo, Wei; Qiu, Jing-Mei 1 2022 A wavelet-free approach for multiresolution-based grid adaptation for conservation laws. Zbl 1499.35399Gerhard, Nils; Müller, Siegfried; Sikstel, Aleksey 1 2022 A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem. Zbl 1499.65551Zhao, Lina; Lam, Ming Fai; Chung, Eric 1 2022 Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations. Zbl 1499.65492Du, Jie; Chung, Eric; Yang, Yang 1 2022 Parallel implicit-explicit general linear methods. Zbl 1499.65289Roberts, Steven; Sarshar, Arash; Sandu, Adrian 1 2021 Modulus-based multisplitting iteration method for a class of weakly nonlinear complementarity problem. Zbl 1499.65233Wang, Guangbin; Tan, Fuping 1 2021 Error estimate of a fully discrete local discontinuous Galerkin method for variable-order time-fractional diffusion equations. Zbl 1499.65538Wei, Leilei; Zhai, Shuying; Zhang, Xindong 1 2021 Arc length-based WENO scheme for Hamilton-Jacobi equations. Zbl 1499.65429Samala, Rathan; Biswas, Biswarup 1 2021 A Jacobi spectral collocation method for solving fractional integro-differential equations. Zbl 1499.65582Wu, Qingqing; Wu, Zhongshu; Zeng, Xiaoyan 1 2021 Efficient difference schemes for the Caputo-tempered fractional diffusion equations based on polynomial interpolation. Zbl 1476.65199Zhao, Le; Li, Can; Zhao, Fengqun 1 2021 A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes. Zbl 1476.65296Cui, Ming; Ye, Xiu; Zhang, Shangyou 1 2021 Two structure-preserving-doubling like algorithms to solve the positive definite solution of the equation \(X-A^{\mathrm{H}}\overline{X}^{-1}A=Q\). Zbl 1476.65065Guo, Xiao-Xia; Wu, Hong-Xiao 1 2021 Learning the mapping \(\mathbf{x}\mapsto \sum\limits_{i=1}^d x_i^2\): the cost of finding the needle in a haystack. Zbl 1476.68242Zhang, Jiefu; Zepeda-Núñez, Leonardo; Yao, Yuan; Lin, Lin 1 2021 Multiscale radiative transfer in cylindrical coordinates. Zbl 1449.85014Sun, Wenjun; Jiang, Song; Xu, Kun 1 2019 On minimization of upper bound for the convergence rate of the QHSS iteration method. Zbl 1449.65068Wu, Wen-Ting 1 2019 A review on stochastic multi-symplectic methods for stochastic Maxwell equations. Zbl 1449.60111Zhang, Liying; Chen, Chuchu; Hong, Jialin; Ji, Lihai 1 2019 Preface to the focused issue on fractional derivatives and general nonlocal models. Zbl 1449.00002 1 2019 Numerical methods for solving space fractional partial differential equations using Hadamard finite-part integral approach. Zbl 1449.65204Wang, Yanyong; Yan, Yubin; Hu, Ye 1 2019 A compact difference scheme for multi-point boundary value problems of heat equations. Zbl 1449.65203Wang, Xuping; Sun, Zhizhong 1 2019 Numerical algorithm for the time-Caputo and space-Riesz fractional diffusion equation. Zbl 1449.65212Zhang, Yuxin; Ding, Hengfei 1 2020 A finite-difference approximation for the one- and two-dimensional tempered fractional Laplacian. Zbl 1449.35453Yan, Yaoqiang; Deng, Weihua; Nie, Daxin 1 2020 Multigrid methods for time-fractional evolution equations: a numerical study. Zbl 1449.65248Jin, Bangti; Zhou, Zhi 1 2020 Nonlocal dynamics for non-Gaussian systems arising in biophysical modeling. Zbl 1463.92010Chen, Xiaoli; Duan, Jinqiao 1 2020 My way: a computational autobiography. Zbl 1476.76002Roe, Philip 1 2020 Superconvergence and the numerical flux: a study using the upwind-biased flux in discontinuous Galerkin methods. Zbl 1476.65240Frean, Daniel J.; Ryan, Jennifer K. 1 2020 A multi-physics methodology for four states of matter. Zbl 1476.76005Michael, Louisa; Millmore, Stephen T.; Nikiforakis, Nikolaos 1 2020 Single-step arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations. Zbl 1476.65236Badwaik, Jayesh; Chandrashekar, Praveen; Klingenberg, Christian 1 2020 Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators. Zbl 1476.65281Ranocha, Hendrik; Ostaszewski, Katharina; Heinisch, Philip 1 2020 Some criteria for \(\mathcal{H}\)-tensors. Zbl 1476.15048Wang, Guangbin; Tan, Fuping 1 2020 Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes. Zbl 07570480Ranocha, Hendrik; Gassner, Gregor J. 3 2022 A general fractional pollution model for lakes. Zbl 07570486Shiri, Babak; Baleanu, Dumitru 3 2022 \(p\)-multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation. Zbl 07570477Botti, Lorenzo; Di Pietro, Daniele A. 2 2022 Finite element analysis of attraction-repulsion chemotaxis system. I: Space convergence. Zbl 07570484Hashim, Mohammed Homod; Harfash, Akil J. 2 2022 Finite element analysis of attraction-repulsion chemotaxis system. II: Time convergence, error analysis and numerical results. Zbl 07570485Hashim, Mohammed Homod; Harfash, Akil J. 2 2022 Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system. Zbl 1499.76096Filbet, Francis; Xiong, Tao 2 2022 A compatible embedded-hybridized discontinuous Galerkin method for the Stokes-Darcy-transport problem. Zbl 1499.65647Cesmelioglu, Aycil; Rhebergen, Sander 2 2022 Local discontinuous Galerkin methods for the \(abcd\) nonlinear Boussinesq system. Zbl 1499.65528Sun, Jiawei; Xie, Shusen; Xing, Yulong 1 2022 Capitalizing on superconvergence for more accurate multi-resolution discontinuous Galerkin methods. Zbl 1499.65522Ryan, Jennifer K. 1 2022 Convergence and superconvergence of the local discontinuous Galerkin method for semilinear second-order elliptic problems on Cartesian grids. Zbl 1499.65624Baccouch, Mahboub 1 2022 Dual-wind discontinuous Galerkin methods for stationary Hamilton-Jacobi equations and regularized Hamilton-Jacobi equations. Zbl 1499.65656Feng, Xiaobing; Lewis, Thomas; Rapp, Aaron 1 2022 Hybrid high-order methods for the acoustic wave equation in the time domain. Zbl 1499.65483Burman, Erik; Duran, Omar; Ern, Alexandre 1 2022 On iterative algorithm and perturbation analysis for the nonlinear matrix equation. Zbl 07570488Chacha, Chacha Stephen 1 2022 Dual quaternions and dual quaternion vectors. Zbl 07601436Qi, Liqun; Ling, Chen; Yan, Hong 1 2022 Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations. Zbl 1499.65484Cai, Xiaofeng; Guo, Wei; Qiu, Jing-Mei 1 2022 A wavelet-free approach for multiresolution-based grid adaptation for conservation laws. Zbl 1499.35399Gerhard, Nils; Müller, Siegfried; Sikstel, Aleksey 1 2022 A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem. Zbl 1499.65551Zhao, Lina; Lam, Ming Fai; Chung, Eric 1 2022 Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations. Zbl 1499.65492Du, Jie; Chung, Eric; Yang, Yang 1 2022 T-Jordan canonical form and T-Drazin inverse based on the T-product. Zbl 1476.15045Miao, Yun; Qi, Liqun; Wei, Yimin 16 2021 A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations. Zbl 1476.65272Samiee, Mehdi; Kharazmi, Ehsan; Meerschaert, Mark M.; Zayernouri, Mohsen 7 2021 Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. Zbl 1499.65305Sun, Zheng; Shu, Chi-Wang 3 2021 Adaptive moving mesh central-upwind schemes for hyperbolic system of PDEs: applications to compressible Euler equations and granular hydrodynamics. Zbl 1499.65460Kurganov, Alexander; Qu, Zhuolin; Rozanova, Olga S.; Wu, Tong 2 2021 Parallel implicit-explicit general linear methods. Zbl 1499.65289Roberts, Steven; Sarshar, Arash; Sandu, Adrian 1 2021 Modulus-based multisplitting iteration method for a class of weakly nonlinear complementarity problem. Zbl 1499.65233Wang, Guangbin; Tan, Fuping 1 2021 Error estimate of a fully discrete local discontinuous Galerkin method for variable-order time-fractional diffusion equations. Zbl 1499.65538Wei, Leilei; Zhai, Shuying; Zhang, Xindong 1 2021 Arc length-based WENO scheme for Hamilton-Jacobi equations. Zbl 1499.65429Samala, Rathan; Biswas, Biswarup 1 2021 A Jacobi spectral collocation method for solving fractional integro-differential equations. Zbl 1499.65582Wu, Qingqing; Wu, Zhongshu; Zeng, Xiaoyan 1 2021 Efficient difference schemes for the Caputo-tempered fractional diffusion equations based on polynomial interpolation. Zbl 1476.65199Zhao, Le; Li, Can; Zhao, Fengqun 1 2021 A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes. Zbl 1476.65296Cui, Ming; Ye, Xiu; Zhang, Shangyou 1 2021 Two structure-preserving-doubling like algorithms to solve the positive definite solution of the equation \(X-A^{\mathrm{H}}\overline{X}^{-1}A=Q\). Zbl 1476.65065Guo, Xiao-Xia; Wu, Hong-Xiao 1 2021 Learning the mapping \(\mathbf{x}\mapsto \sum\limits_{i=1}^d x_i^2\): the cost of finding the needle in a haystack. Zbl 1476.68242Zhang, Jiefu; Zepeda-Núñez, Leonardo; Yao, Yuan; Lin, Lin 1 2021 A high order formula to approximate the Caputo fractional derivative. Zbl 1449.65195Mokhtari, R.; Mostajeran, F. 9 2020 Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study. Zbl 1476.65200Zhu, Jun; Shu, Chi-Wang 6 2020 Numerical computations of nonlocal Schrödinger equations on the real line. Zbl 1449.82004Yan, Yonggui; Zhang, Jiwei; Zheng, Chunxiong 5 2020 Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. Zbl 1476.65152Abbaszadeh, Mostafa; Amjadian, Hanieh 5 2020 An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates. Zbl 1449.65331Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong 4 2020 A finite difference method for space fractional differential equations with variable diffusivity coefficient. Zbl 1477.65139Mustapha, K. A.; Furati, K. M.; Knio, O. M.; Le Maître, O. P. 4 2020 A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations. Zbl 1476.65260Yeganeh, Somayeh; Mokhtari, Reza; Hesthaven, Jan S. 4 2020 A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems. Zbl 1449.65242Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan 3 2020 Finite element convergence for state-based peridynamic fracture models. Zbl 1463.74103Jha, Prashant K.; Lipton, Robert 3 2020 High-order local discontinuous Galerkin algorithm with time second-order schemes for the two-dimensional nonlinear fractional diffusion equation. Zbl 1476.65261Zhang, Min; Liu, Yang; Li, Hong 3 2020 Local discontinuous Galerkin scheme for space fractional Allen-Cahn equation. Zbl 1463.65301Li, Can; Liu, Shuming 2 2020 A high-order scheme for fractional ordinary differential equations with the Caputo-Fabrizio derivative. Zbl 1463.65219Cao, Junying; Wang, Ziqiang; Xu, Chuanju 2 2020 An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients. Zbl 1463.65233Lin, Xue-Lei; Lyu, Pin; Ng, Michael K.; Sun, Hai-Wei; Vong, Seakweng 2 2020 Jacobi collocation methods for solving generalized space-fractional Burgers’ equations. Zbl 1449.65280Wu, Qingqing; Zeng, Xiaoyan 2 2020 The notion of conservation for residual distribution schemes (or fluctuation splitting schemes), with some applications. Zbl 1476.65202Abgrall, Rémi 2 2020 ADER methods for hyperbolic equations with a time-reconstruction solver for the generalized Riemann problem: the scalar case. Zbl 1476.65204Demattè, R.; Titarev, V. A.; Montecinos, G. I.; Toro, E. F. 2 2020 An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem. Zbl 1476.65207Jöns, Steven; Munz, Claus-Dieter 2 2020 Numerical algorithm for the time-Caputo and space-Riesz fractional diffusion equation. Zbl 1449.65212Zhang, Yuxin; Ding, Hengfei 1 2020 A finite-difference approximation for the one- and two-dimensional tempered fractional Laplacian. Zbl 1449.35453Yan, Yaoqiang; Deng, Weihua; Nie, Daxin 1 2020 Multigrid methods for time-fractional evolution equations: a numerical study. Zbl 1449.65248Jin, Bangti; Zhou, Zhi 1 2020 Nonlocal dynamics for non-Gaussian systems arising in biophysical modeling. Zbl 1463.92010Chen, Xiaoli; Duan, Jinqiao 1 2020 My way: a computational autobiography. Zbl 1476.76002Roe, Philip 1 2020 Superconvergence and the numerical flux: a study using the upwind-biased flux in discontinuous Galerkin methods. Zbl 1476.65240Frean, Daniel J.; Ryan, Jennifer K. 1 2020 A multi-physics methodology for four states of matter. Zbl 1476.76005Michael, Louisa; Millmore, Stephen T.; Nikiforakis, Nikolaos 1 2020 Single-step arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations. Zbl 1476.65236Badwaik, Jayesh; Chandrashekar, Praveen; Klingenberg, Christian 1 2020 Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators. Zbl 1476.65281Ranocha, Hendrik; Ostaszewski, Katharina; Heinisch, Philip 1 2020 Some criteria for \(\mathcal{H}\)-tensors. Zbl 1476.15048Wang, Guangbin; Tan, Fuping 1 2020 Solving interface problems of the Helmholtz equation by immersed finite element methods. Zbl 1449.65319Lin, Tao; Lin, Yanping; Zhuang, Qiao 6 2019 A new spectral method using nonstandard singular basis functions for time-fractional differential equations. Zbl 1463.65325Liu, Wenjie; Wang, Li-Lian; Xiang, Shuhuang 6 2019 Nonlocal flocking dynamics: learning the fractional order of PDEs from particle simulations. Zbl 1449.35447Mao, Zhiping; Li, Zhen; Karniadakis, George Em 6 2019 A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions. Zbl 1449.65223Grant, Zachary; Gottlieb, Sigal; Seal, David C. 5 2019 Superconvergence of energy-conserving discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1449.65250Liu, Yong; Shu, Chi-Wang; Zhang, Mengping 5 2019 A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. Zbl 1449.65272Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco 5 2019 \(C^1\)-conforming quadrilateral spectral element method for fourth-order equations. Zbl 1449.65334Li, Huiyuan; Shan, Weikun; Zhang, Zhimin 5 2019 A split-step predictor-corrector method for space-fractional reaction-diffusion equations with nonhomogeneous boundary conditions. Zbl 1449.65186Kazmi, Kamran; Khaliq, Abdul 5 2019 Modeling and computing of fractional convection equation. Zbl 1463.65229Li, Changpin; Yi, Qian 5 2019 Numerical analysis of linear and nonlinear time-fractional subdiffusion equations. Zbl 1463.65398Yang, Yubo; Zeng, Fanhai 5 2019 Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems. Zbl 1449.33014Yu, Xuhong; Wang, Zhongqing; Li, Huiyuan 4 2019 The INTERNODES method for non-conforming discretizations of PDEs. Zbl 1449.65344Gervasio, Paola; Quarteroni, Alfio 4 2019 A cubic \(H^3\)-nonconforming finite element. Zbl 1449.65315Hu, Jun; Zhang, Shangyou 2 2019 Multi-domain decomposition pseudospectral method for nonlinear Fokker-Planck equations. Zbl 1449.65279Sun, Tao; Wang, Tian-Jun 2 2019 An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case. Zbl 1449.65310Antonietti, Paola; Canuto, Claudio; Verani, Marco 2 2019 Multiscale radiative transfer in cylindrical coordinates. Zbl 1449.85014Sun, Wenjun; Jiang, Song; Xu, Kun 1 2019 On minimization of upper bound for the convergence rate of the QHSS iteration method. Zbl 1449.65068Wu, Wen-Ting 1 2019 A review on stochastic multi-symplectic methods for stochastic Maxwell equations. Zbl 1449.60111Zhang, Liying; Chen, Chuchu; Hong, Jialin; Ji, Lihai 1 2019 Preface to the focused issue on fractional derivatives and general nonlocal models. Zbl 1449.00002 1 2019 Numerical methods for solving space fractional partial differential equations using Hadamard finite-part integral approach. Zbl 1449.65204Wang, Yanyong; Yan, Yubin; Hu, Ye 1 2019 A compact difference scheme for multi-point boundary value problems of heat equations. Zbl 1449.65203Wang, Xuping; Sun, Zhizhong 1 2019 all cited Publications top 5 cited Publications all top 5 Cited by 412 Authors 5 Mokhtari, Reza 5 Wang, Hong 5 Zaky, Mahmoud A. 5 Zheng, Xiangcheng 4 Abgrall, Rémi 4 Chang, Shih Yu 4 Ma, Haifeng 4 Shu, Chi-Wang 3 Doha, Eid H. 3 Gervasio, Paola 3 Haase, Gundolf 3 Hendy, Ahmed S. 3 Jiang, Xiaoyun 3 Li, Hong 3 Liu, Yang 3 Ramezani, Mohadese 3 Zhang, Jiwei 3 Zhu, Jun 2 Abdi, Ali 2 Ameen, Ibrahem G. 2 Anh, Vo V. 2 Antoine, Xavier 2 Băleanu, Dumitru I. 2 Cao, Zhengbang 2 Chacha, Chacha Stephen 2 Chen, Hu 2 Chou, Tom 2 Cong, Zhanlei 2 Deparis, Simone 2 Ding, Hengfei 2 Duan, Jinqiao 2 Fatone, Lorella 2 Fu, Hongfei 2 Funaro, Daniele 2 Gunzburger, Max D. 2 Harfash, Akil Jassim 2 Ji, Songsong 2 Karniadakis, George Em 2 Li, Changpin 2 Li, Huiyuan 2 Li, Liang 2 Lin, Tao 2 Ling, Chen 2 Liu, Fawang 2 Liu, Yong 2 Manzini, Gianmarco 2 Marriaga, Misael E. 2 Moradi, Afsaneh 2 Öffner, Philipp 2 Pang, Gang 2 Qi, Liqun 2 Qu, Haidong 2 Ricchiuto, Mario 2 Rui, Hongxing 2 Shao, Sihong 2 She, Zihang 2 Sun, Zheng 2 Tadmor, Eitan 2 Wang, Jinfeng 2 Wang, Lixiu 2 Wang, Tianjun 2 Wang, Zhen 2 Wei, Yimin 2 Xia, Mingtao 2 Xia, Yinhua 2 Xie, Pengpeng 2 Xiong, Tao 2 Ye, Xiu 2 Zayernouri, Mohsen 2 Zeng, Fanhai 2 Zhang, Guoliang 2 Zhang, Shangyou 2 Zhang, Xu 2 Zhang, Yongtao 2 Zhang, Zhimin 1 Abbaszadeh, Mostafa 1 Abdel-Aty, Abdel-Haleem 1 Abdelaziz, H. K. 1 Abo-Dahab, Sayed M. 1 Abo-Gabal, Howayda 1 Adjerid, Slimane 1 Africa, Pasquale C. 1 Afshin, Hamidreza 1 Akhavan-Safaei, Ali 1 Al-Juaifri, Ghassan A. 1 Albadarneh, Ramzi B. 1 Ali, Ajmal 1 Ali, Umair 1 Alomari, Abedel-Karrem 1 Alzahrani, Hasnaa 1 Aminikhah, Hossein 1 An, Na 1 Anaya, Verónica 1 Anciaux, Guillaume 1 Atangana, Abdon 1 Avazzadeh, Zakieh 1 Baccouch, Mahboub 1 Baharlouei, Shima 1 Bai, Xixian 1 Bai, Yu ...and 312 more Authors all top 5 Cited in 68 Journals 21 Journal of Computational Physics 13 Journal of Scientific Computing 12 Communications on Applied Mathematics and Computation 11 Applied Numerical Mathematics 9 Computers & Mathematics with Applications 9 Journal of Computational and Applied Mathematics 9 Computational and Applied Mathematics 6 Applied Mathematics and Computation 6 Mathematics and Computers in Simulation 4 Computer Methods in Applied Mechanics and Engineering 4 International Journal of Computer Mathematics 4 SIAM Journal on Scientific Computing 4 International Journal of Numerical Analysis and Modeling 3 Computers and Fluids 3 Mathematics of Computation 3 Numerical Functional Analysis and Optimization 3 Computational Mechanics 3 Communications in Nonlinear Science and Numerical Simulation 3 Advances in Difference Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 International Journal of Applied and Computational Mathematics 2 Chaos, Solitons and Fractals 2 BIT 2 SIAM Journal on Numerical Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Chaos 2 Fractional Calculus & Applied Analysis 2 Communications in Computational Physics 2 East Asian Journal on Applied Mathematics 2 Journal of Function Spaces 1 Journal of Fluid Mechanics 1 Linear and Multilinear Algebra 1 Calcolo 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Multiscale Modeling & Simulation 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Boundary Value Problems 1 Journal of Industrial and Management Optimization 1 Inverse Problems in Science and Engineering 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Mathematical Physics 1 Journal of Mathematics 1 Iranian Journal of Numerical Analysis and Optimization 1 Computational Methods for Differential Equations 1 Annals of Applied Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 AIMS Mathematics 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications 1 Results in Applied Mathematics all top 5 Cited in 26 Fields 153 Numerical analysis (65-XX) 101 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 28 Real functions (26-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 12 Ordinary differential equations (34-XX) 11 Special functions (33-XX) 10 Approximations and expansions (41-XX) 8 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 7 Probability theory and stochastic processes (60-XX) 4 Integral equations (45-XX) 4 Computer science (68-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Operations research, mathematical programming (90-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year