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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
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