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Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step size
Author: Akrivis, Georgios; Bartels, Soren; Ruggeri, Michele; Wang, Jilu
Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 2026; Vol. 60, Issue 2, pp. 633-655. DOI: 10.1051/m2an/2026019
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Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel mode
Author: Huang, Xueling; Goubet, Olivier; Shen, Jie
Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 2026; Vol. 60, Issue 2, pp. 517-540. DOI: 10.1051/m2an/2026012
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Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrator
Author: Huang, Qiumei; Ostermann, Alexander; Zhong, Gangfan
Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 2026; Vol. 60, Issue 2, pp. 495-515. DOI: 10.1051/m2an/2026009
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Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regim
Author: Wang, Bin; Miao, Zhen; Jiang, Yaolin
Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 2026; Vol. 60, Issue 1, pp. 317-345. DOI: 10.1051/m2an/2026001
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Convergence analysis and error estimates for the CSRK schemes to conserved gradient flow
Author: Sun, Jingwei; Qian, Xu; Zhang, Hong; Zhang, Jiwei
Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 2026; Vol. 60, Issue 1, pp. 223-246. DOI: 10.1051/m2an/2025103
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Error estimates of asymptotic-preserving neural networks in approximating stochastic linearized Boltzmann equatio
Author: Wan, Jiayu; Liu, Liu; Zhu, Zhenyi
Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 2026; Vol. 60, Issue 1, pp. 51-81. DOI: 10.1051/m2an/2025095
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Error analysis of the highly efficient and energy stable schemes for the 2D/3D two-phase MH
Author: Zhang, Ke; Su, Haiyan; Feng, Xinlong
Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 2025; Vol. 59, Issue 3, pp. 1627-1655. DOI: 10.1051/m2an/2025032
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Approximations of the Green's function in multiple scattering theory for crystalline system
Author: Li, Xiaoxu; Chen, Huajie
Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS. 2025; Vol. 59, Issue 3, pp. 1657-1683. DOI: 10.1051/m2an/2025037