Advances in Computational Mathematics, Volume 52 (original) (raw)



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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

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