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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
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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
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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
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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
Computing equivariant matrices on homogeneous spaces for geometric deep learning and automorphic Lie algebras Vincent Knibbeler OriginalPaper Open access 11 April 2024 Article: 27
Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems Ion Victor GoseaSerkan GugercinSteffen W. R. Werner OriginalPaper Open access 11 April 2024 Article: 26
Numerical simulation of resistance furnaces by using distributed and lumped models A. BermúdezD. GómezD. González OriginalPaper Open access 10 April 2024 Article: 25
Robust space-time finite element methods for parabolic distributed optimal control problems with energy regularization Ulrich LangerOlaf SteinbachHuidong Yang OriginalPaper Open access 10 April 2024 Article: 24
Robust low tubal rank tensor recovery using discrete empirical interpolation method with optimized slice/feature selection Salman Ahmadi-AslAnh-Huy PhanAndrzej Cichocki OriginalPaper 06 April 2024 Article: 23
A block-randomized stochastic method with importance sampling for CP tensor decomposition Yajie YuHanyu Li OriginalPaper 25 March 2024 Article: 22
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Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation Xiao YeXiangcheng ZhengYue Liu OriginalPaper 22 March 2024 Article: 21
A probabilistic reduced basis method for parameter-dependent problems Marie Billaud-FriessArthur MachereyClémentine Prieur OriginalPaper 13 March 2024 Article: 19
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems Peter BennerSerkan GugercinSteffen W. R. Werner OriginalPaper Open access 12 March 2024 Article: 18
New low-order mixed finite element methods for linear elasticity Xuehai HuangChao ZhangYangxing Zhu OriginalPaper 06 March 2024 Article: 17
Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems Elena ZampieriLuca F. Pavarino OriginalPaper Open access 04 March 2024 Article: 16
A space–time DG method for the Schrödinger equation with variable potential Sergio GómezAndrea Moiola OriginalPaper Open access 01 March 2024 Article: 15
Limitations of neural network training due to numerical instability of backpropagation Clemens KarnerVladimir KazeevPhilipp Christian Petersen OriginalPaper Open access 11 February 2024 Article: 14
Analysis of a \(\varvec{P}_1\oplus \varvec{RT}_0\) finite element method for linear elasticity with Dirichlet and mixed boundary conditions Hongpeng LiXu LiHongxing Rui OriginalPaper 05 February 2024 Article: 13
Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems Robin HerkertPatrick BuchfinkBernard Haasdonk OriginalPaper Open access 05 February 2024 Article: 12
Semi-Lagrangian finite element exterior calculus for incompressible flows Wouter TonnonRalf Hiptmair OriginalPaper Open access 05 February 2024 Article: 11
On the balanced truncation error bound and sign parameters from arrowhead realizations Sean ReiterTobias DammSerkan Gugercin OriginalPaper Open access 31 January 2024 Article: 10
Dual frames compensating for erasures—a non-canonical case Ljiljana ArambašićDiana Stoeva OriginalPaper Open access 25 January 2024 Article: 9
An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities Shixi WangHai BiYidu Yang OriginalPaper 17 January 2024 Article: 8
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