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A rotated shift-splitting method for complex symmetric linear systems Numer. Algor. (IF 2.1) Pub Date : 2024-03-18 Snigdhashree Nayak, Debasisha Mishra, Nachiketa Mishra
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Properties and practicability of convergence-guaranteed optimization methods derived from weak discrete gradients Numer. Algor. (IF 2.1) Pub Date : 2024-03-14 Kansei Ushiyama, Shun Sato, Takayasu Matsuo
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Correction to: High-order linearly implicit exponential integrators conserving quadratic invariants with application to scalar auxiliary variable approach Numer. Algor. (IF 2.1) Pub Date : 2024-03-13 Shun Sato
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$$O(1/k^2)$$ convergence rates of (dual-primal) balanced augmented Lagrangian methods for linearly constrained convex programming Numer. Algor. (IF 2.1) Pub Date : 2024-03-11 Tao Zhang, Yong Xia, Shiru Li
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High-order nonstandard finite difference methods preserving dynamical properties of one-dimensional dynamical systems Numer. Algor. (IF 2.1) Pub Date : 2024-03-08 Manh Tuan Hoang
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An $$\alpha $$ -robust analysis of finite element method for space-time fractional diffusion equation Numer. Algor. (IF 2.1) Pub Date : 2024-03-06 Yi Yang, Jin Huang, Hu Li
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On the convergence of the numerical blow-up time for a rescaling algorithm Numer. Algor. (IF 2.1) Pub Date : 2024-03-06
Abstract Berger and Kohn (Comm. Pure Appl. Math. 41, 841–863 1988) proposed an algorithm to compute approximate blow-up times for those evolution equations whose solutions blow up in a finite time and possess a scaling invariance property. Later, Anada et. al (Japan J. Indust. Appl. Math. 35, 33–47 2018) used this algorithm to compute the blow-up rates of various blow-up problems which turned out to
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Inertial self-adaptive algorithms for solving non-smooth convex optimization problems Numer. Algor. (IF 2.1) Pub Date : 2024-03-04 Xin Chen, Peichao Duan
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Jacobian-free explicit multiderivative general linear methods for hyperbolic conservation laws Numer. Algor. (IF 2.1) Pub Date : 2024-03-02 Afsaneh Moradi, Jeremy Chouchoulis, Raffaele D’Ambrosio, Jochen Schütz
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HODLR3D: hierarchical matrices for N-body problems in three dimensions Numer. Algor. (IF 2.1) Pub Date : 2024-03-02 Kandappan V. A, Vaishnavi Gujjula, Sivaram Ambikasaran
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A Lagrange interpolation with preprocessing to nearly eliminate oscillations Numer. Algor. (IF 2.1) Pub Date : 2024-03-01 Bernardo de la Calle Ysern, Pedro Galán del Sastre
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An explicit 16-stage Runge–Kutta method of order 10 discovered by numerical search Numer. Algor. (IF 2.1) Pub Date : 2024-03-01 David Kai Zhang
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High-order linearly implicit exponential integrators conserving quadratic invariants with application to scalar auxiliary variable approach Numer. Algor. (IF 2.1) Pub Date : 2024-02-29
Abstract This paper proposes a framework for constructing high-order linearly implicit exponential integrators that conserve a quadratic invariant. This is then applied to the scalar auxiliary variable (SAV) approach. Quadratic invariants are significant objects that are present in various physical equations and also in computationally efficient conservative schemes for general invariants. For instance
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Differential equation software for the computation of error-controlled continuous approximate solutions Numer. Algor. (IF 2.1) Pub Date : 2024-02-28 Mark Adams, Paul Muir
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Variance-based stochastic projection gradient method for two-stage co-coercive stochastic variational inequalities Numer. Algor. (IF 2.1) Pub Date : 2024-02-24 Bin Zhou, Jie Jiang, Yongzhong Song, Hailin Sun
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Comments on “Fractal functions associated with Reich contractions: an approximation of chaotic attractors” Numer. Algor. (IF 2.1) Pub Date : 2024-02-23 B. V. Prithvi, S. K. Katiyar
It is the aim of this paper to demonstrate the error in Lemma 1 and Theorem 3 of the contribution from Priyanka et al. (Numer. Algo., 2003). Their novel attempt to study fractal interpolation remains open.
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Continuation Newton methods with deflation techniques for global optimization problems Numer. Algor. (IF 2.1) Pub Date : 2024-02-22 Xin-long Luo, Hang Xiao, Sen Zhang
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An efficient breakdown-free algorithm for numerically evaluating the determinants of (p, q)-pentadiagonal matrices Numer. Algor. (IF 2.1) Pub Date : 2024-02-20 Ji-Teng Jia, Rong Xie, Shuo Ni, Xiao-Yan Xu
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Modified and accelerated relaxed gradient-based iterative algorithms for the complex conjugate and transpose matrix equations Numer. Algor. (IF 2.1) Pub Date : 2024-02-17
Abstract In this paper, by applying the updated technique to the relaxed gradient-based iterative algorithm proposed by Wang et al. (J. Appl. Math. Comput. 67, 317–341 2021), we develop the modified relaxed gradient-based iterative algorithm for the complex conjugate and transpose Sylvester matrix equations. Compared with the relaxed gradient-based iterative algorithm, the modified relaxed gradient-based
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Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes Numer. Algor. (IF 2.1) Pub Date : 2024-02-15
Abstract In this work, a multiparametric family of iterative vectorial fourth-order methods free of Jacobian matrices is proposed. A convergence analysis of this family is carried out as well as a study of its efficiency. Several numerical experiments are made in order to compare the behaviour of the proposed family with other competitive methods of the literature.
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A fast linearized virtual element method on graded meshes for nonlinear time-fractional diffusion equations Numer. Algor. (IF 2.1) Pub Date : 2024-02-13 Qiling Gu, Yanping Chen, Jianwei Zhou, Jian Huang
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A posteriori error analysis of an ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems Numer. Algor. (IF 2.1) Pub Date : 2024-02-12 Mahboub Baccouch
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Improved uniform error bounds of Lawson-type exponential integrator method for long-time dynamics of the high-dimensional space fractional sine-Gordon equation Numer. Algor. (IF 2.1) Pub Date : 2024-02-10 Junqing Jia, Xiaoyun Jiang, Xiaoqing Chi
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High-order $$L^{2}$$ -bound-preserving Fourier pseudo-spectral schemes for the Allen-Cahn equation Numer. Algor. (IF 2.1) Pub Date : 2024-02-10 Xueqing Teng, Hong Zhang
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ADMM-TGV image restoration for scientific applications with unbiased parameter choice Numer. Algor. (IF 2.1) Pub Date : 2024-02-10 Christian Zietlow, Jörg K. N. Lindner
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A novel banded preconditioner for coupled tempered fractional diffusion equation generated from the regime-switching CGMY model Numer. Algor. (IF 2.1) Pub Date : 2024-02-09 Xu Chen, Xin-Xin Gong, Zi-Run She, Zi-Hang She
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Globally linearly convergent nonlinear conjugate gradients without Wolfe line search Numer. Algor. (IF 2.1) Pub Date : 2024-02-09 Arnold Neumaier, Morteza Kimiaei, Behzad Azmi
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A Golub-Welsch version for simultaneous Gaussian quadrature Numer. Algor. (IF 2.1) Pub Date : 2024-02-05 Walter Van Assche
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A multi-physical structure-preserving method and its analysis for the conservative Allen-Cahn equation with nonlocal constraint Numer. Algor. (IF 2.1) Pub Date : 2024-02-03 Xu Liu, Qi Hong, Hong-lin Liao, Yuezheng Gong
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The semi-implicit DLN algorithm for the Navier-Stokes equations Numer. Algor. (IF 2.1) Pub Date : 2024-02-02
Abstract Dahlquist, Liniger, and Nevanlinna design a family of one-leg, two-step methods (the DLN method) that is second order, \(\varvec{A}-\) and \(\varvec{G}-\) stable for arbitrary, non-uniform time steps. Recently, the implementation of the DLN method can be simplified by the refactorization process (adding time filters on the backward Euler scheme). Due to these fine properties, the DLN method
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Iterative methods for solving monotone variational inclusions without prior knowledge of the Lipschitz constant of the single-valued operator Numer. Algor. (IF 2.1) Pub Date : 2024-01-29 Duong Viet Thong, Simeon Reich, Prasit Cholamjiak, Le Dinh Long
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Extended homogeneous bivariate orthogonal polynomials: symbolic and numerical Gaussian cubature formula Numer. Algor. (IF 2.1) Pub Date : 2024-01-27 Jilali Abouir, Brahim Benouahmane
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Error analysis of the exponential wave integrator sine pseudo-spectral method for the higher-order Boussinesq equation Numer. Algor. (IF 2.1) Pub Date : 2024-01-25 Melih Cem Canak, Gulcin M. Muslu
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Upper triangulation-based infinity norm bounds for the inverse of Nekrasov matrices with applications Numer. Algor. (IF 2.1) Pub Date : 2024-01-24
Abstract The infinity norm bounds for the inverse of Nekrasov matrices play an important role in scientific computing. We in this paper propose a triangulation-based approach that can easily be implemented to seek sharper infinity norm bounds for the inverse of Nekrasov matrices. With the help of such sharper bounds, new error estimates for the linear complementarity problem of Nekrasov matrices are
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An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation Numer. Algor. (IF 2.1) Pub Date : 2024-01-23 Morrakot Khebchareon, Amiya K. Pani, Graeme Fairweather, Ryan I. Fernandes
We formulate and analyze a fully discrete approximate solution of the linear Schrödinger equation on the unit square written as a Schrödinger-type system. The finite element Galerkin method is used for the spatial discretization, and the time stepping is done with an alternating direction implicit extrapolated Crank-Nicolson method. We demonstrate the existence and uniqueness of the approximation,
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Conformable vector Traub’s method for solving nonlinear systems Numer. Algor. (IF 2.1) Pub Date : 2024-01-22 Xiaofeng Wang, Jiayi Xu
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A numerical approach based on Pell polynomial for solving stochastic fractional differential equations Numer. Algor. (IF 2.1) Pub Date : 2024-01-22 P. K. Singh, S. Saha Ray
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A computational approach to solving a second-order singularly perturbed Fredholm integro-differential equation with discontinuous source term Numer. Algor. (IF 2.1) Pub Date : 2024-01-20 Wubeshet Seyoum Manebo, Mesfin Mekuria Woldaregay, Tekle Gemechu Dinka, Gemechis File Duressa
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Algebraic method for LU decomposition of dual quaternion matrix and its corresponding structure-preserving algorithm Numer. Algor. (IF 2.1) Pub Date : 2024-01-19
Abstract Due to the increasing applications of dual quaternion and their matrices in recent years, as well as the significance of LU decomposition as a matrix decomposition technique, in this paper, we propose dual quaternion Gaussian transformation and obtain dual quaternion LU decomposition by using Gaussian transformation. We also use the total order of dual numbers to obtain the partial pivoting
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Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction Numer. Algor. (IF 2.1) Pub Date : 2024-02-01 Mihai Bucataru, Liviu Marin
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u-generation: solving systems of polynomials equation-by-equation Numer. Algor. (IF 2.1) Pub Date : 2024-02-01 Timothy Duff, Anton Leykin, Jose Israel Rodriguez
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A weak Galerkin pseudostress-based mixed finite element method on polygonal meshes: application to the Brinkman problem appearing in porous media Numer. Algor. (IF 2.1) Pub Date : 2024-01-18 Zeinab Gharibi
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Numerical stability analysis of spatial-temporal fully discrete scheme for time-fractional delay Schrödinger equations Numer. Algor. (IF 2.1) Pub Date : 2024-01-16 Zichen Yao, Zhanwen Yang
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Spherical interpolation of scattered data using least squares thin-plate spline and inverse multiquadric functions Numer. Algor. (IF 2.1) Pub Date : 2024-01-16 Teodora Cătinaş, Andra Malina
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Optimal convergence analysis of weak Galerkin finite element methods for parabolic equations with lower regularity Numer. Algor. (IF 2.1) Pub Date : 2024-01-16 Xuan Liu, Yongkui Zou, Shimin Chai, Huimin Wang
This paper is devoted to investigating the optimal convergence order of a weak Galerkin finite element approximation to a second-order parabolic equation whose solution has lower regularity. In many applications, the solution of a second-order parabolic equation has only \(\varvec{H}^{\varvec{1+s}}\) smoothness with \(\varvec{0
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Improved parallel finite element methods for the stationary Navier–Stokes problem Numer. Algor. (IF 2.1) Pub Date : 2024-01-15 Guangzhi Du, Liyun Zuo
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Two subgradient extragradient methods based on the golden ratio technique for solving variational inequality problems Numer. Algor. (IF 2.1) Pub Date : 2024-01-13 Olawale K. Oyewole, Simeon Reich
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A new multi-step method for solving nonlinear systems with high efficiency indices Numer. Algor. (IF 2.1) Pub Date : 2024-01-12 Raziyeh Erfanifar, Masoud Hajarian
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Multigrid methods for time fractional conservation laws Numer. Algor. (IF 2.1) Pub Date : 2024-01-12 Yingjun Jiang, Huiran Bai
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An inertial spectral conjugate gradient projection method for constrained nonlinear pseudo-monotone equations Numer. Algor. (IF 2.1) Pub Date : 2024-01-12
Abstract Consider the nonlinear pseudo-monotone equations over a nonempty closed convex set. A spectral conjugate gradient projection method with the inertial factor is proposed for solving the problem under discussion. Following the projection strategy, we prove that the sequence of spectral parameters is bounded. The search direction generated by the algorithm satisfies the sufficient descent condition
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An inexact proximal majorization-minimization algorithm for remote sensing image stripe noise removal Numer. Algor. (IF 2.1) Pub Date : 2024-01-12 Chengjing Wang, Xile Zhao, Qingsong Wang, Zepei Ma, Peipei Tang
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The effect of splitting strategy on qualitative property preservation Numer. Algor. (IF 2.1) Pub Date : 2024-01-11 Siqi Wei, Raymond J. Spiteri
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An Hermite–Obreshkov method for 2nd-order linear initial-value problems for ODE Numer. Algor. (IF 2.1) Pub Date : 2024-01-09 Robert M. Corless
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Exploring oversampling in RBF least-squares collocation method of lines for surface diffusion Numer. Algor. (IF 2.1) Pub Date : 2024-01-08
Abstract This paper investigates the numerical behavior of the radial basis functions least-squares collocation (RBF-LSC) method of lines (MoL) for solving surface diffusion problems, building upon the theoretical analysis presented in [Chen et al. SIAM J. Numer. Anal. 61(3), 1386–1404 (2023)]. Specifically, we examine the impact of the oversampling ratio, defined as the number of collocation points
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On the enumeration of subcells within hypercubes and its application to the Borsuk-Ulam theorem Numer. Algor. (IF 2.1) Pub Date : 2024-01-06 Moody T. Chu, Matthew M. Lin
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Discrete gradients in short-range molecular dynamics simulations Numer. Algor. (IF 2.1) Pub Date : 2024-01-06 Volker Grimm, Tobias Kliesch, G. R. W. Quispel
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Families of high-order simultaneous methods with several corrections Numer. Algor. (IF 2.1) Pub Date : 2024-01-06
Abstract In this paper, we propose the idea for combining several iteration functions in order to construct new families of iterative methods with both high-order of convergence and high computational efficiency. As an illustration, combining the most famous iteration functions with two or three arbitrary iteration functions, we obtain three new families of high-order iterative methods for the simultaneous
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Reducing the truncation error in Taylor model multiplication Numer. Algor. (IF 2.1) Pub Date : 2024-01-06 Florian Bünger
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Artificial boundary method for the Zakharov-Rubenchik equations Numer. Algor. (IF 2.1) Pub Date : 2024-01-04 Hongwei Li, Xiangyu Zhang
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A class of modified accelerated proximal gradient methods for nonsmooth and nonconvex minimization problems Numer. Algor. (IF 2.1) Pub Date : 2024-01-01 Ting Wang, Hongwei Liu