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ORCIDAdvances in Computational Mathematics, Volume 52
Volume 52, Number 1, February 2026
- Van Dung Nguyen, Hoang Thi Kim Hoa:
An inertial reflected-forward-backward splitting method for monotone inclusions with improved step size. 1 - Ruo Li, Qicheng Liu, Fanyi Yang:
An optimal preconditioned discontinuous Galerkin method for biharmonic equation with C0-reconstructed approximation. 4 - Peilin Sun, Xu Qin
:
An improved SNE with its applications in classification and visualization. 5 - Zhixin Liu, Minghui Song, Yuhang Zhang:
Strong convergence of linear implicit virtual element methods for the nonlinear stochastic parabolic equation with multiplicative noise. 6 - Daniel Hoonhout, Richard Löscher, Olaf Steinbach, Carolina Urzúa-Torres:
Stable least-squares space-time boundary element methods for the wave equation. 7 - Nan Liu, Haiqing Zhang, Hong-lin Liao:
On the asymptotically compatible energies of L1 and L1-SAV schemes for time-fractional Allen-Cahn model. 8 - Christian Kuehn, Sara-Viola Kuntz:
Analysis of the geometric structure of neural networks and neural ODEs via morse functions. 9 - Elena Zampieri:
A comparative numerical study of spectral properties in isogeometric collocation and Galerkin methods for acoustic waves. 10 - Ting Wei, Xinhang Li, Yuhua Luo:
A generalized quasi-reversibility regularization method to determine a spatial source component in a time-fractional diffusion-wave equation. 11 - Sudhakar Chaudhary, Shreya Chauhan, Monica Montardini:
Space-time isogeometric method for a nonlocal parabolic problem. 12 - Lan Cheng, Cun-Qiang Miao, Yueyang Zhang:
Chebyshev accelerating technique for solving generalized non-symmetric eigenvalue problems. 13
Volume 52, Number 2, April 2026
- Hyeona Lim, Seongjai Kim:
Minimum curvature method for surface reconstruction. 14 - Yufeng Xu, Ying Zhu, Desong Kong, Zhoushun Zheng:
A direct parallel-in-time finite difference solver for quenching combustion problem. 15 - Simen Knutsen Furset:
Spectral approximation of a class of stochastic time-fractional evolution equations. 16 - Franco Dassi, Andres E. Rubiano, Iván Velásquez:
A posteriori error estimates for a C1 virtual element method applied to the thin plate vibration problem. 17 - Philipp Isserstedt, Daniel Jaroszewski, Wolfgang Mergenthaler, Felix Paul, Bastian Harrach:
Curve fitting on a quantum annealer for an advanced navigation method. 18 - Benedikt Klein, Mario Ohlberger:
Multi-fidelity learning of reduced order models for parabolic PDE constrained optimization. 19 - Robert Schaback:
Optimal compactly supported functions in Sobolev spaces. 20 - Harsh Sharma, Juan Diego Draxl Giannoni, Boris Kramer:
Structure-preserving Lift & Learn: Scientific machine learning for nonlinear conservative partial differential equations. 21 - Duygu Vargun, Igor O. Monteiro, Leo G. Rebholz:
Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids. 22 - Tommaso Bradde, Stefano Grivet-Talocia:
Constrained rational fitting for D-stable model order reduction. 23 - Nicolaj Rux, Michael Quellmalz, Gabriele Steidl:
Smoothed distance kernels for MMDs and applications in Wasserstein gradient flows. 24 - William Paulsen:
Analyzing the function $z\uparrow \uparrow \!a$ for fractional a. 25 - Kui Du, Jia-Jun Fan:
GP-CMRH: an inner product free iterative method for block two-by-two nonsymmetric linear systems. 26 - Cun-Qiang Miao, Xue-Yuan Tan:
On randomized explicit block Kaczmarz method for solving large linear systems. 27 - Jiankang Liu, Bao-Zhu Guo:
Spatially semi-discretely uniformly exponential stability approximation for one-dimensional thermoelastic system. 28 - Jiexin Wang, Hong-lin Liao:
Convergence analysis of time-filtered backward differentiation methods up to fourth-order for the molecular beam epitaxial model without slope selection. 29
Volume 52, Number 3, June 2026
- Zhiyuan Lyu, Lok Ming Lui, Gary P. T. Choi:
Ellipsoidal density-equalizing map for genus-0 closed surfaces. 30 - Nicola Rares Franco, Andrea Manzoni, Paolo Zunino, Jan S. Hesthaven:
Deep orthogonal decomposition: a continuously adaptive neural network approach to model order reduction of parametrized partial differential equations. 31 - Jiajie Li, Hui Yang, Shengfeng Zhu:
Stabilized gradient flow schemes of phase field model for shape and topology optimization in diffusion. 32 - Fu Li, Yingxiang Xu:
Which transmission condition is the best in optimized Schwarz waveform relaxation for viscoelastic equation: Robin or characteristic? 33 - Ziad Zaabouli, Lekbir Afraites, Aissam Hadri, Amine Laghrib:
Well-posedness for an improved time-fractional reaction-diffusion systems. 34 - Hengrui Xu, Kejia Pan, Xiaofeng Yang:
A new magnetic-coupled binary phase-field crystal model and its efficient fully discrete decoupled energy-stable scheme. 35 - Qianqian Ding, Yifan Luo, Shipeng Mao:
A variable time-step IMEX BDF2 scheme for the incompressible MHD system. 36 - Ludovico Bruni Bruno, Francesco Dell'Accio, Wolfgang Erb, Federico Nudo:
Bivariate polynomial histopolation techniques on Padua, Fekete, and Leja triangles. 37 - Zhiyong Liu, Qiuyan Xu:
A discretization theory of meshfree collocation for nonlinear systems of partial differential equations. 38 - Xinyu Zhao, Hongxing Rui, Gang Wang:
A locally conservative enriched virtual element method for elliptic problems. 39 - Ying Sun, Kang-Ya Lu, Zonghan Li, Junheng Niu, Yufan Cao:
Spectral analysis of the banded preconditioning with adjustable shift compensation for solving two-dimensional Riesz space-fractional diffusion equations. 40 - Giovanni Pagano, Luis Rández:
L(θ)-stable peer methods with reused stages for advection-diffusion-reaction problems. 41 - Yong Liu, Jianjun Zhang:
On a deterministic block Kaczmarz-type method and its acceleration for the solution of large-scale linear systems. 42 - Yanhui Zhou:
A symmetric Q1-finite volume element scheme for anisotropic diffusion problems on unstructured convex quadrilateral meshes. 43 - Jakob Eggl, Elias Mindlberger, Mario Ullrich:
Sparse grids vs. random points for high-dimensional polynomial approximation. 44 - Thomas Führer, Francisco Fuica:
Mixed finite element methods for elliptic obstacle problems. 45
Volume 52, Number 4, August 2026
- Aayushman Raina, Srinivasan Natesan, Suayip Toprakseven:
A weak Galerkin mixed finite element method for singularly perturbed biharmonic problems on a layer-adapted mesh in 2D. 46 - Fang Chen, Chen-Xiao Gao:
On convergence of residual-based extended Kaczmarz method for solving inconsistent linear systems. 47 - Xueyu Qin, Jian Yu, Teng Zhou, Chao Yan:
Strong stability preserving two-derivative multistep Runge-Kutta methods. 48 - Nicole Aretz, Karen Willcox:
Nested operator inference for adaptive data-driven learning of reduced-order models. 49 - Sam Bender, Christopher Beattie:
Partial Floquet transformation and model order reduction of linear time-periodic systems. 50 - Bin-Xin He, Hao Liu, Xiao-Ping Chen:
Randomized gradient descent method for solving the large-scale inverse eigenvalue problem arising from the fractional order control system. 51 - Meng-Yao Li, Bo Wu:
A parameterized block preconditioner for solving a class of complex symmetric linear systems. 52 - Yuanyuan Kang, Dongqian Li, Yin Yang:
A straightforward discrete energy technique for weighted and shifted backward differentiation formulas up to fifth order. 53 - Bernard Haasdonk, Tizian Wenzel, Gabriele Santin:
Kernel-based greedy approximation of parametric elliptic boundary value problems. 54 - Rommel Bustinza, Jonathan Munguia-La-Cotera:
An a priori L2-norm error estimate of the hybrid high-order method for a class of strongly monotone nonlinear elliptic problems. 55 - Linus Balicki, Serkan Gugercin:
Multivariate rational approximation via low-rank tensors and the p-AAA algorithm. 56 - Daniel R. Venn, Steven J. Ruuth:
A meshfree method for eigenvalues of differential operators on surfaces, including Steklov problems. 57 - Ruiyi Xie, Wenjie Liu, Boying Wu:
Pointwise error estimates for Legendre spectral differentiation of functions with limited regularity in fractional spaces. 58 - Deepika Garg, Maxim A. Olshanskii:
A stabilized trace FEM for surface Cahn-Hilliard equations: analysis and simulations. 59 - Abderrahim Charkaoui, Anouar Ben-Loghfyry, Shengda Zeng:
Theoretical and numerical analysis of a nonlinear double-phase variable exponent model for image contrast enhancement. 60 - Ping Cui, Zi-Han Song, Yu-Mei Huang, Zhuo-Fei Zhang:
A Kalman filter-based variational method for ECG tensor denoising. 61
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