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  2. Journals
  3. Numerical Algorithms
  4. 2025
Showing papers in "Numerical Algorithms in 2025"
Journal Article•10.1007/s11075-025-02038-4•
Block CG algorithms revisited

[...]

Petr Tich'y, G'erard Meurant, Dorota vSimonov'a
24 Feb 2025-Numerical Algorithms

2 citations

Journal Article•10.1007/s11075-025-02083-z•
Innovative computational model for variable order fractional Brownian motion and solving stochastic differential equations

[...]

Shiva Naserifar, Farshid Mirzaee
01 May 2025-Numerical Algorithms

2 citations

Journal Article•10.1007/s11075-025-02024-w•
Piecewise numerical approach for solving piecewise fractional optimal control and variational problems

[...]

Haniye Dehestani1, Yadollah Ordokhani1, M. Razzaghi•
Alzahra University1
19 Feb 2025-Numerical Algorithms

1 citations

Journal Article•10.1007/s11075-025-02201-x•
Space-time Legendre-Gauss-Lobatto collocation method for the two-dimensional Schrödinger equation

[...]

Yingying Shan, Wenjie Liu
14 Aug 2025-Numerical Algorithms

1 citations

Journal Article•10.1007/s11075-025-02289-1•
Stabilized back-forth nudging method for solution reconstruction of fractional transport problem

[...]

Qinwu Xu, Yuhao Wang
16 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-024-02005-5•
A numerical approach for solving fractional order pantograph mixed Volterra-Fredholm delay-integro-differential equations

[...]

Yifei Wang, Li Zhang, Hu Li
22 Jan 2025-Numerical Algorithms
Journal Article•10.1007/s11075-024-02003-7•
A robust variant of cubic smoothing spline approximation

[...]

Marcello De Giosa, Antonella Falini, Felice Iavernaro, Susanna Losito, Francesca Mazzia, Giorgia Rubino 
09 Jan 2025-Numerical Algorithms
TL;DR: A robust variant of cubic smoothing spline approximation is introduced, using entropy-based weights to detect and remove outliers, improving fitting procedure and outperforming standard robust techniques in real-world applications and illustrative examples.
Abstract: We introduce a robust variant of smoothing spline regression which exploits an entropy-based argument to automatically detect and remove outliers during the fitting procedure. This involves considering a penalized weighted residual sum of squares, with the distribution of weights determined by maximizing the associated entropy function. An illustrative example is provided to show the potential of the new approach compared to other standard robust techniques. Additionally, we include examples on datasets derived from real-world applications.
Journal Article•10.1007/s11075-025-02019-7•
Explicit iterative algorithm with optimal tuning parameter for stochastic Lyapunov matrix equation

[...]

Hui-Jie Sun, Jinxiu Zhang, Xuesong Chen
11 Feb 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02291-7•
Extended sparse Kaczmarz method with surrogate hyperplane for sparse solutions to inconsistent linear systems

[...]

Ze Wang, Yu-Xin Ye, Jun-Feng Yin, S. H. Zhang
22 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02014-y•
Numerical analysis of penalty–based ensemble methods

[...]

Rui Fang
23 Jan 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02012-0•
A message-passing approach to obtain the trace of matrix functions with applications to network analysis

[...]

Grover E. Castro Guzman, Peter F. Stadler, André Fujita
20 Jan 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02051-7•
Constrained mock-Chebyshev least squares approximation for Hermite interpolation

[...]

Francesco Dell’Accio, Francisco Marcellán, Federico Nudo
22 Mar 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02049-1•
A scaling-and-squaring method for computing the inverses of matrix $$\varphi $$-functions

[...]

Lidia Aceto, Luca Gemignani
20 Mar 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02297-1•
A unified convergence analysis of random sketch methods for rank deficient linear systems

[...]

Ning Zheng, Tianwen Li
22 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02293-5•
Average-based iterative methods for solving nonlinear integral equations and systems of ordinary equations

[...]

M. A. Navascués
20 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02255-x•
Taylor-Wavelet method for third-order coupled singular Emden-Fowler equations with local and nonlocal BCs

[...]

N. Saha, Randhir Singh
27 Nov 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02271-x•
On the convergence of some iterative schemes for weak contractions with applications to fractional-order blood flow models

[...]

Sumaira Ajmal, Hira Iqbal1, Rizwan Anjum, Ali Turab, Nawab Hussain •
Quaid-i-Azam University1
13 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02281-9•
Inertial self-adaptive methods for solving convex bilevel problems

[...]

Jiajun Guo, Peichao Duan
11 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02290-8•
New nonsingular H-matrix subclass with parameter-free infinity norm bounds and linear complementarity error estimates

[...]

Wenlong Zeng1, Jianzhou Liu•
Xiangtan University1
26 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02009-9•
A hybrid gradient method for vector optimization problems

[...]

Ray V.G. Serra, Susana M. Vieira
27 Jan 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02187-6•
Quaternion special least squares with Tikhonov regularization method in image restoration

[...]

Weiyin Fei, Jia Tang, Mengtian Shan
29 Jul 2025-Numerical Algorithms
Journal Article•10.1007/s11075-024-02002-8•
The backward rounding error analysis of the quaternion Givens QR decomposition

[...]

Fengxia Zhang, Yuqing Zhang, Zhihan Zhou, Musheng Wei
02 Jan 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02135-4•
On the dynamics of Steffensen’s family of root-finding methods for entire function

[...]

Nripes Kumar Mandal, Subham Chatterjee, Gorachand Chakraborty
25 Jun 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02247-x•
Local analysis of an L1/finite element method for a time-fractional singularly perturbed reaction-diffusion problem

[...]

Xiangyun Meng, J. Gracia, Martin Styner1•
University of North Carolina at Chapel Hill1
09 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02241-3•
Quaternion matrix function representation for color image recovery

[...]

Jinping Zou, Huan-Ren, Wang Xiang, Jinping Zou, Huan-Ren, Wang Xiang 
09 Oct 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02183-w•
An Armijo−Type viscosity algorithm for continuous equilibrium problems without monotonicity on Hadamard manifolds

[...]

Wanning Yang, Lin Wang, Zhaoli Ma, Yan Liang
28 Jul 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02100-1•
Optimized Schwarz waveform relaxation methods for wave-heat coupling in one dimensional bounded domains

[...]

Franz Chouly, Martin J. Gander, Véronique Martin1•
University of Paris1
27 May 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02008-w•
Numerical approximation and dynamics of periodic solution in distribution of stochastic differential equations

[...]

Jinhui Zhou, Yongkui Zou, Vitalii Konarovskyi, Xue Yang
09 Jan 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02283-7•
Efficient numerical methods of coupled generalized differential Sylvester matrix equations

[...]

Lakhlifa Sadek, Ali Algefary
05 Dec 2025-Numerical Algorithms
Journal Article•10.1007/s11075-025-02277-5•
Convergence properties of Jacobi gradient-based iteration algorithm for the complex conjugate and transpose Sylvester matrix equations

[...]

Jiating He, Xuesong Chen
11 Dec 2025-Numerical Algorithms
...

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