Applied Numerical Mathematics

Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation

Author: Qiao, L.; Nikan, O.; Avazzadeh, Z.

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 185, Issue , pp. 466-482. DOI: 10.1016/j.apnum.2022.12.006

Convergence analysis of Hermite subdivision schemes of any arity

Author: Zhang, Zeze; Zheng, Hongchan; Zhou, Jie

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 183, Issue , pp. 279-300. DOI: 10.1016/j.apnum.2022.09.008

Discontinuous Galerkin method for the diffusive-viscous wave equation

Author: Zhang, Min; Yan, Wenjing; Jing, Feifei; Zhao, Haixia

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 183, Issue , pp. 118-139. DOI: 10.1016/j.apnum.2022.08.014

Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations

Author: Yang, Yun-Bo; Jiang, Yao-Lin

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 183, Issue , pp. 86-107. DOI: 10.1016/j.apnum.2022.08.017

Unconditionally optimal error estimate of mass- and energy-stable Galerkin method for Schrodinger equation with cubic nonlinearity

Author: Yang, Huaijun

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 183, Issue , pp. 39-55. DOI: 10.1016/j.apnum.2022.08.016

Unconditional optimal error estimates of conservative methods for Klein-Gordon-Dirac system in two dimensions

Author: Wang, Tingchun; Cheng, Yue; Ji, Lihai

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 183, Issue , pp. 263-278. DOI: 10.1016/j.apnum.2022.09.010

Strong convergence rate of implicit Euler scheme to a CIR model with delay

Author: Tan, Li; Wang, Shengrong; Luo, Liangqing

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 190, Issue , pp. 15-26. DOI: 10.1016/j.apnum.2023.04.006

Tamed Euler-Maruyama approximation of McKean-Vlasov stochastic differential equations with super-linear drift and Holder diffusion coefficients

Author: Liu, Huagui; Shi, Banban; Wu, Fuke

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 183, Issue , pp. 56-85. DOI: 10.1016/j.apnum.2022.08.012

An energy-conserving finite element method for nonlinear fourth-order wave equations

Author: He, Mingyan; Tian, Jia; Sun, Pengtao; Zhang, Zhengfang

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 183, Issue , pp. 333-354. DOI: 10.1016/j.apnum.2022.09.011

Adaptive Hermite spectral methods in unbounded domains

Author: Chou, Tom; Shao, Sihong; Xia, Mingtao

Journal: APPLIED NUMERICAL MATHEMATICS. 2023; Vol. 183, Issue , pp. 201-220. DOI: 10.1016/j.apnum.2022.09.003

The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: Numerical analysis

引用次数：18

On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations

引用次数：14

Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

引用次数：12

New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order

引用次数：10

Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation

引用次数：8

A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems

引用次数：7

A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation

引用次数：6

A time-space spectral tau method for the time fractional cable equation and its inverse problem

引用次数：6

A novel kind of efficient symplectic scheme for Klein-Gordon-Schrodinger equation

引用次数：6

An analysis of the Grunwald-Letnikov scheme for initial-value problems with weakly singular solutions

引用次数：6