Computers & Mathematics with Applications, Volume 143

Volume 143, August 2023

Regular Articles

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  Huanrong Li, Rushuang Yang:
  Analysis of two spectral Galerkin approximation schemes for solving the perturbed FitzHugh-Nagumo neuron model. 1-9
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  Qingquan Pan, Lianjie Wang, Yun Cai, Xiaojing Liu, Jinbiao Xiong:
  Density-extrapolation Global Variance Reduction (DeGVR) method for large-scale radiation field calculation. 10-22

Special Section on Advances in Computational Methods for PDEs 2022; Edited by Maurizio Falcone, Alessandro Russo, Valeria Simoncini, Luciano Lopez

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  Marco Berardi, Fabio V. Difonzo, Sabrina Francesca Pellegrino:
  A numerical method for a nonlocal form of Richards' equation based on peridynamic theory. 23-32

Regular Articles

• 
  Ali Hashemian, Hanna Sliusarenko, Sara Remogna, Domingo Barrera, Michael Barton:
  Solving boundary value problems via the Nyström method using spline Gauss rules. 33-47
• 
  Frédérique Charles, Annamaria Massimini, Francesco Salvarani:
  Mathematical and numerical study of a kinetic model describing the evolution of planetary rings. 48-56
• 
  B. V. Rathish Kumar, Manisha Chowdhury:
  Multiscale stabilized finite element computation of the non-Newtonian Casson fluid flowing in double lid-driven rectangular cavities. 57-72
• 
  Yichen Huang, Zhaoqing Ke, Zhihao Li, Yan Gao, Zhaoxuan Tang, Ying Zhang:
  A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects. 73-93

Special Section on Scientific Machine Learning: Blending of traditional mechanistic modeling with machine learning methodologies; Edited by Giovanni Stabile, Gianluigi Rozza, Francesco Piccialli

• 
  Hugo Melchers, Daan Crommelin, Barry Koren, Vlado Menkovski, Benjamin Sanderse:
  Comparison of neural closure models for discretised PDEs. 94-107

Regular Articles

• 
  Ke Liang, Jiaqi Mu, Zheng Li:
  Thermal-mechanical buckling analysis and optimization of the stringer stiffened cylinder using smeared stiffener based reduced-order models. 108-118
• 
  Kang Li, Zhijun Tan:
  Two-grid algorithms based on FEM for nonlinear time-fractional wave equations with variable coefficient. 119-132
• 
  Junseok Kim, Zhijun Tan, Junxiang Yang:
  Linear and conservative IMEX Runge-Kutta finite difference schemes with provable energy stability for the Cahn-Hilliard model in arbitrary domains. 133-150
• 
  Fatemeh Nassajian Mojarrad, Maria Han Veiga, Jan S. Hesthaven, Philipp Öffner:
  A new variable shape parameter strategy for RBF approximation using neural networks. 151-168
• 
  Feng Han, Yu Liu, Jianguo Wang:
  Posteriori error neural network: A recovery type posteriori error estimator based on neural network for diffusion problems. 169-188
• 
  Jiehua Zhang, Zhongying Chen:
  L² error estimates for a family of cubic finite volume methods on triangular meshes. 189-223
• 
  Yanlai Song, Malik Zaka Ullah:
  On a sparse and stable solver on graded meshes for solving high-dimensional parabolic pricing PDEs. 224-233
• 
  Eslam Ezzatneshan, Kazem Hejranfar:
  An unstructured preconditioned central difference finite volume multiphase Euler solver for computing inviscid cavitating flows over arbitrary two- and three-dimensional geometries. 234-248
• 
  Sasikala J., V. Kesavulu Naidu, Venkatesh B., S. M. Mallikarjunaiah:
  On an efficient octic order sub-parametric finite element method on curved domains. 249-268
• 
  Xuhong Yu, Qingrui Mao:
  Diagonalized Legendre spectral method for second-order eigenvalue problems. 269-276
• 
  Leonardo Boledi, Fabian Key, Benjamin Terschanski, Stefanie Elgeti, Julia Kowalski:
  A scale-coupled numerical method for transient close-contact melting. 277-288
• 
  Hua-Yu Liu, Xiao-Wei Gao, Guiyong Zhang, Miao Cui:
  Explicit spectral element collocation method for nonlinear transient heat transfer. 289-302
• 
  Hongwei Guo, Xiaoying Zhuang, Naif Alajlan, Timon Rabczuk:
  Physics-informed deep learning for melting heat transfer analysis with model-based transfer learning. 303-317
• 
  Guomei Zhao, Shuaifei Hu, Peicheng Zhu:
  Unconditional energy stability and temporal convergence of first-order numerical scheme for the square phase-field crystal model. 318-326
• 
  Jean Bussac, Hélène Mathis:
  Simulation of a homogeneous relaxation model for a three-phase mixture with miscible phases. 327-347
• 
  Dongze He, Qingshan Wang, Rui Zhong, Bin Qin:
  A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates. 348-371
• 
  Lidia Aceto, Mariarosa Mazza:
  A rational preconditioner for multi-dimensional Riesz fractional diffusion equations. 372-382

Special Section on Scientific Machine Learning: Blending of traditional mechanistic modeling with machine learning methodologies; Edited by Giovanni Stabile, Gianluigi Rozza, Francesco Piccialli

• 
  Nicola Demo, Maria Strazzullo, Gianluigi Rozza:
  An extended physics informed neural network for preliminary analysis of parametric optimal control problems. 383-396

Regular Articles

• 
  Verónica Anaya, Ruben Caraballo, Ricardo Ruiz-Baier, Héctor Torres:
  On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity. 397-416
• 
  Swapan K. Pandit, Rupchand Malo:
  Thermogravitational magnetonanofluid flow in a square cavity with isotropic heat flow field and viscous dissipation: A compact approach. 417-434