Local behaviors of Fourier expansions for functions of limited regularities Shunfeng YangShuhuang Xiang OriginalPaper 09 May 2024 Article: 47
Optimally convergent mixed finite element methods for the time-dependent 2D/3D stochastic closed-loop geothermal system with multiplicative noise Xinyue GaoYi QinJian Li OriginalPaper 08 May 2024 Article: 46
A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes Marta BenítezAlfredo BermúdezPilar Salgado OriginalPaper Open access 08 May 2024 Article: 45
Stray field computation by inverted finite elements: a new method in micromagnetic simulations Tahar Z. BoulmezaoudKeltoum Kaliche OriginalPaper 07 May 2024 Article: 44
Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations Huaijun YangMeng Li OriginalPaper 06 May 2024 Article: 43
Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction Pawan GoyalIgor Pontes DuffPeter Benner OriginalPaper Open access 03 May 2024 Article: 42
On the maximum principle and high-order, delay-free integrators for the viscous Cahn–Hilliard equation Hong ZhangGengen ZhangSonghe Song OriginalPaper 03 May 2024 Article: 41
Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators Hongchao KangQi XuGuidong Liu OriginalPaper 02 May 2024 Article: 40
Inverse problem for determining free parameters of a reduced turbulent transport model for tokamak plasma Louis LamérandDidier AurouxEric Serre OriginalPaper 02 May 2024 Article: 39
Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry David BerghausRobert Stephen JonesDanylo Radchenko OriginalPaper Open access 02 May 2024 Article: 38
Spatial best linear unbiased prediction: a computational mathematics approach for high dimensional massive datasets Julio Enrique Castrillón-Candás OriginalPaper 30 April 2024 Article: 37
Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems Tobias EhringBernard Haasdonk OriginalPaper Open access 29 April 2024 Article: 36
Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides Leszek DemkowiczJens M. MelenkStefan Henneking OriginalPaper 29 April 2024 Article: 35
Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul’yev methods Xuelong GuYushun WangWenjun Cai OriginalPaper 29 April 2024 Article: 34
Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition Simone BrivioStefania FrescaAndrea Manzoni OriginalPaper Open access 24 April 2024 Article: 33
Dictionary-based model reduction for state estimation Anthony NouyAlexandre Pasco OriginalPaper 24 April 2024 Article: 32
Artificial neural networks with uniform norm-based loss functions Vinesha PeirisVera RoshchinaNadezda Sukhorukova OriginalPaper Open access 23 April 2024 Article: 31
The improvement of the truncated Euler-Maruyama method for non-Lipschitz stochastic differential equations Weijun ZhanYuyuan Li OriginalPaper 22 April 2024 Article: 30
The adjoint double layer potential on smooth surfaces in \(\mathbb {R}^3\) and the Neumann problem J. Thomas BealeMichael StormSvetlana Tlupova OriginalPaper 19 April 2024 Article: 29
\(\mathcal {H}_2\) optimal rational approximation on general domains Alessandro BorghiTobias Breiten OriginalPaper 18 April 2024 Article: 28
