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Advances in Computational Mathematics, Volume 51
Volume 51, Number 1, February 2025
- Ben S. Ashby
, Tristan Pryer
:
Discretisation of an Oldroyd-B viscoelastic fluid flow using a Lie derivative formulation. 1 - Xiaojuan Liu, Maojun Li
, Tao Yin, Shangyou Zhang:
A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem. 2 - Hailong Guo
, Mingyan Zhang, Qian Zhang, Zhimin Zhang:
Unfitted finite element method for the quad-curl interface problem. 3 - Bo Feng, Gang Wu:
On convergence of the generalized Lanczos trust-region method for trust-region subproblems. 4 - Tobias Long
, Robert Barnett, Richard Jefferson-Loveday, Giovanni Stabile
, Matteo Icardi:
A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform. 5 - Mahadevan Ganesh
, Stuart C. Hawkins
, Darko Volkov:
An all-frequency stable integral system for Maxwell's equations in 3-D penetrable media: continuous and discrete model analysis. 6 - Jianjian Song, Dongwoo Sheen
, Xinlong Feng, Yinnian He:
A difference finite element method based on nonconforming finite element methods for 3D elliptic problems. 7 - Lele Yuan, Ye Zhang
:
A scaling fractional asymptotical regularization method for linear inverse problems. 8 - Shubhaditya Burela
, Philipp Krah, Julius Reiss:
Parametric model order reduction for a wildland fire model via the shifted POD-based deep learning method. 9 - Tiangang Cui
, Josef Dick
, Friedrich Pillichshammer
:
Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation. 10 - Lok Pati Tripathi, Aditi Tomar, Amiya K. Pani
:
On a non-uniform α-robust IMEX-L1 mixed FEM for time-fractional PIDEs. 11 - Zehui Zhou
:
On the recovery of two function-valued coefficients in the Helmholtz equation for inverse scattering problems via neural networks. 12
Volume 51, Number 2, April 2025
- Florian Arbes
, Constantin Greif
, Karsten Urban
:
The Kolmogorov N-width for linear transport: exact representation and the influence of the data. 13 - Kristof Albrecht, Juliane Entzian, Armin Iske
:
Product kernels are efficient and flexible tools for high-dimensional scattered data interpolation. 14 - Yibo Wang, Wanrong Cao
:
Strong convergence of a fully discrete scheme for stochastic Burgers equation with fractional-type noise. 15 - Xiaoli Feng, Xiaoyu Yuan, Yun Zhang
:
A quasi-boundary-value method for solving a nonlinear space-fractional backward diffusion problem. 16 - Hao Chen
, Alfio Borzì:
Low-rank exponential integrators for stiff differential Riccati equations. 17 - Long Yuan, Qiya Hu
:
A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations. 18 - Lidia Aceto
, Luca Gemignani
:
Computing the action of the matrix generating function of Bernoulli polynomials on a vector with an application to non-local boundary value problems. 19
Volume 51, Number 3, June 2025
- Maolin Che, Yimin Wei
, Hong Yan:
Efficient algorithms for Tucker decomposition via approximate matrix multiplication. 20 - Shuang Yu, Hongqi Yang:
Stable approximate evaluation of unbounded matrix operator and its application to an inverse problem. 21 - Mengya Feng, Tongjun Sun
:
Error analysis of a hybrid numerical method for optimal control problem governed by parabolic PDEs in random cylindrical domains. 22 - Anton Arnold
, Jannis Körner
:
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation. 23 - Doghonay Arjmand, Victor Martinez Calzada
:
A hybrid boundary integral-PDE approach for the approximation of the demagnetization potential in micromagnetics. 24 - Yayun Fu, Xu Qian, Songhe Song, Dongdong Hu:
Linearly implicit and large time-stepping conservative exponential relaxation schemes for the nonlocal cubic Gross-Pitaevskii equation. 25 - Cao-Kha Doan, Phuoc-Toan Huynh, Thi-Thao-Phuong Hoang
:
Noniterative localized exponential time differencing methods for hyperbolic conservation laws. 26 - Riya Ghosh, A. Antony Selvan:
Obstructions for Gabor frames of the second-order B-spline. 27 - Philipp Grohs, Lukas Liehr
, Irina Shafkulovska:
From completeness of discrete translates to phaseless sampling of the short-time Fourier transform. 28
Volume 51, Number 4, August 2025
- Wenya Qi
, Kaifang Liu:
Decoupled weak Galerkin finite element method for Maxwell's equations. 29 - Xuejun Xu, Shangyou Zhang
:
A nonconforming P3+B4 and discontinuous P2 mixed finite element on tetrahedral grids. 30 - Yongcheng Dai, Bangti Jin
, Ramesh Chandra Sau, Zhi Zhou:
Solving elliptic optimal control problems via neural networks and optimality system. 31

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