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Numerical Algorithms, Volume 98
Volume 98, Number 1, January 2025
- Bin Zhou, Jie Jiang, Yongzhong Song, Hailin Sun

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Variance-based stochastic projection gradient method for two-stage co-coercive stochastic variational inequalities. 1-33 - B. V. Prithvi, S. K. Katiyar:

Comments on "Fractal functions associated with Reich contractions: an approximation of chaotic attractors". 35-43 - B. V. Prithvi, S. K. Katiyar:

Correction to: Comments on "Fractal functions associated with Reich contractions: an approximation of chaotic attractors". 45 - Zhijian Ye, Zhoushun Zheng, Zhilin Li

:
New third-order convex splitting methods and analysis for the phase field crystal equation. 47-84 - Snigdhashree Nayak, Debasisha Mishra, Nachiketa Mishra:

A rotated shift-splitting method for complex symmetric linear systems. 85-115 - Xueli Zhang, Jin Huang, Xiaoxia Wen:

A new numerical algorithm based on least squares method for solving stochastic Itô-Volterra integral equations. 117-132 - Xin Chen, Peichao Duan:

Inertial self-adaptive algorithms for solving non-smooth convex optimization problems. 133-163 - Yi Yang

, Jin Huang, Hu Li:
An α-robust analysis of finite element method for space-time fractional diffusion equation. 165-190 - Chien-Hong Cho, Jhih-Sin Wu:

On the convergence of the numerical blow-up time for a rescaling algorithm. 191-217 - Manh Tuan Hoang

:
High-order nonstandard finite difference methods preserving dynamical properties of one-dimensional dynamical systems. 219-249 - Yazheng Dang, Liyuan Chen, Yan Gao:

Multi-block relaxed-dual linear inertial ADMM algorithm for nonconvex and nonsmooth problems with nonseparable structures. 251-285 - Abdulaziz Alsenafi

, Fares Alazemi, Javad Alavi:
An efficient algorithm to solve the geometric Asian power option price PDE under the stochastic volatility model. 287-306 - Ji-Teng Jia, Yifan Wang:

Numerical algorithms for the fast and reliable solution of periodic tridiagonal Toeplitz linear systems. 307-324 - Tao Zhang, Yong Xia, Shiru Li:

O(1/k2) convergence rates of (dual-primal) balanced augmented Lagrangian methods for linearly constrained convex programming. 325-345 - Fares Alazemi, Abdulaziz Alsenafi

, Alireza Najafi:
A spectral approach using fractional Jaiswal functions to solve the mixed time-fractional Black-Scholes European option pricing model with error analysis. 347-371 - Mahboub Baccouch:

Residual-based a posteriori error analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. 373-404 - Wenxiu Guo, Hua Zheng, Xiaoping Lu, Yongxiong Zhang, Seakweng Vong:

A relaxation two-step parallel modulus method without auxiliary variable for solving large sparse vertical linear complementarity problems. 405-429 - Yongseok Jang

, Laura Grigori, Emeric Martin, Cédric Content
:
Randomized flexible GMRES with deflated restarting. 431-465 - Pradip Roul

:
A high-order numerical scheme and its analysis for Caputo temporal-fractional Black-Scholes model: European double barrier knock-out option. 467-502
Volume 98, Number 2, February 2025
- Huimin Ren, Qi Zhang, Zhongguo Zhou:

The second-order modified upwind PPM characteristic difference method and analysis for solving convection-diffusion equations. 503-530 - Pradip Roul

, S. Sundar:
Novel numerical methods based on graded, adaptive and uniform meshes for a time-fractional advection-diffusion equation subjected to weakly singular solution. 531-561 - Xiangtuan Xiong, Jingjing Han:

A variational regularization method for solving the non-characteristic Cauchy problem in multiple dimensions. 563-586 - Richard Mikaël Slevinsky:

Fast and stable rational approximation of generalized hypergeometric functions. 587-624 - Matania Ben-Artzi, Yuli Eidelman, Dalia Fishelov

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Numerical solution of the boundary value problems for the biharmonic equations via quasiseparable representations. 625-649 - Ruishu Liu

, Yulin Cao, Xiaojie Wang:
Unconditionally positivity-preserving explicit Euler-type schemes for a generalized Aït-Sahalia model. 651-675 - Hao Chen, Mahmoud A. Zaky, Xiangcheng Zheng, Ahmed S. Hendy, Wenlin Qiu:

Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. 677-718 - Duong Viet Thong

, Xiao-Huan Li, Simeon Reich
, Qiao-Li Dong, Dang Huy Ngan:
A new approach to the Korpelevich method for solving pseudomonotone equilibrium problems. 719-741 - Ting Deng, Jin Huang, Yifei Wang, Hu Li:

A generalized fuzzy barycentric Lagrange interpolation method for solving two-dimensional fuzzy fractional Volterra integral equations. 743-766 - K. J. Sayana

, G. D. Reddy:
A class of a posteriori parameter choice rules for filter-based regularization schemes. 767-795 - Qifeng Zhang, Dongfang Li, Wanying Mao:

A family of linearly weighted-θ compact ADI schemes for sine-Gordon equations in high dimensions. 797-838 - Shujiao Li, Kang-Ya Lu, Cun-Qiang Miao:

Banded preconditioning with shift compensation for solving discrete Riesz space-fractional diffusion equations. 839-876 - Ali Abdi

, Seyyed Ahmad Hosseini
, Helmut Podhaisky:
The linear barycentric rational backward differentiation formulae for stiff ODEs on nonuniform grids. 877-902 - Qichen Xu, Tyler Chen:

A posteriori error bounds for the block-Lanczos method for matrix function approximation. 903-927 - B. Y. Datsko, Myroslav V. Kutniv:

Explicit numerical methods for solving singular initial value problems for systems of second-order nonlinear ODEs. 929-942 - Kunyu Zhang, Hu Shao, Ting Wu, Xiaoquan Wang:

A class of accelerated GADMM-based method for multi-block nonconvex optimization problems. 943-985 - Suchismita Patra:

A numerical approach for investigating multiple eigenpairs of a quasilinear elliptic system. 987-1012 - Abdeslem Hafid Bentbib, Maryam Boubekraoui, Khalide Jbilou:

Extrapolation methods for multilinear PageRank. 1013-1043 - Yande Xia, Yun-Bo Yang:

An Arrow-Hurwicz iterative method based on charge-conservation for the stationary inductionless magnetohydrodynamic system. 1045-1084
Volume 98, Number 3, March 2025
- Jingyong Tang, Jinchuan Zhou:

A two-step Broyden-like method for nonlinear equations. 1085-1105 - Xiaofeng Wang:

Analytical and numerical studies of the modified Kawahara equation with dual-power law nonlinearities. 1107-1139 - Sergio Amat, David Levin, Juan Ruiz-Álvarez

, Dionisio F. Yáñez:
Non-linear WENO B-spline based approximation method. 1141-1169 - Zhenhao Lu, Wenping Fan:

A fast algorithm for multi-term time-space fractional diffusion equation with fractional boundary condition. 1171-1194 - Liviu Marin

, Andrei Tiberiu Pantea:
Boundary reconstruction in two-dimensional steady-state anisotropic heat conduction. 1195-1230 - Manoochehr Khasi:

A computational approach based on the Legendre-Galerkin method for solving a distributed optimal control problem constrained by the biharmonic equation. 1231-1259 - Kyung Soo Rim:

An algorithm for approximating implicit functions by polynomials without using higher order differentiability information. 1261-1279 - Shan Ma, Si Li, Feng Ma

:
Preconditioned golden ratio primal-dual algorithm with linesearch. 1281-1311 - Michael Koch, Sabine Le Borne, Willi Leinen

:
Smaller stencil preconditioners for linear systems in RBF-FD discretizations. 1313-1335 - Zheng-Fen Jin, Yibao Fan, Youlin Shang, Weiwei Ding:

A dual symmetric Gauss-Seidel technique-based proximal ADMM for robust fused lasso estimation. 1337-1360 - Andreas Karageorghis, Daniel Lesnic:

Solution of the Cauchy problem for the Brinkman equations using an alternating method of fundamental solutions. 1361-1393 - Xinlong Feng, Xiaoli Lu, Yinnian He:

Optimal error estimates of penalty difference finite element method for the 3D steady Navier-Stokes equations. 1395-1427 - Christian Pötzsche, David Rackl:

Nyström discretization of integrodifference equations: numerical continuation of periodic solutions and Floquet multipliers. 1429-1465 - S. K. Mishra, D. Singh, Pankaj:

Optimality and duality results for fractional programming problems under E-univexity. 1467-1480 - Rafal Perczynski, Grzegorz Madejski

:
Numerical integrator for highly oscillatory differential equations based on the Neumann series. 1481-1505 - Manzoor Hussain, Abdul Ghafoor:

The localized meshless method of lines for the approximation of two-dimensional reaction-diffusion system. 1507-1551 - Yasmina Khiar

, Esmeralda Mainar, Eduardo Royo-Amondarain
, Beatriz Rubio
:
On the accurate computation of the Newton form of the Lagrange interpolant. 1553-1573 - Lu Zhang, Hongxia Wang, Hui Zhang:

Quantile-based random sparse Kaczmarz for corrupted and noisy linear systems. 1575-1610 - Yusong Luo, Weiping Shen:

An Ulm-like algorithm for generalized inverse eigenvalue problems. 1611-1641
Volume 98, Number 4, April 2025
- Zheng Wang, Yuhao Cong:

Delay-dependent stability of a class of Runge-Kutta methods for neutral differential equations. 1643-1666 - Yukun Yue

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Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method. 1667-1701 - Ashia Mobeen, Shahbaz Ahmad, Faisal A. Fairag:

Non-blind constraint image deblurring problem with mean curvature functional. 1703-1723 - Sashikumaar Ganesan, Maneesh Kumar Singh

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Operator-splitting finite element method for solving the radiative transfer equation. 1725-1753 - Zhongbing Xie, Huanqin Wu, Liya Liu:

Modified projection method and strong convergence theorem for solving variational inequality problems with non-Lipschitz operators. 1755-1780 - Yonghong Yao, Lateef Olakunle Jolaoso

, Yekini Shehu:
C-FISTA type projection algorithm for quasi-variational inequalities. 1781-1798 - Guangyu Fan, Beibei Wu:

Numerical solutions of the EW and MEW equations using a fourth-order improvised B-spline collocation method. 1799-1825 - Yassine Chakir, Hassan Safouhi:

On solving 2D weakly singular Volterra integral equations of the second kind. 1827-1847 - Akbar Shirilord

, Mehdi Dehghan:
Solving a system of complex matrix equations using a gradient-based method and its application in image restoration. 1849-1896 - Liuqiang Zhong, Huilan Li, Ming Tang:

Two-level methods for solving higher order finite element discretizations of nonsymmetric and indefinite elliptic problem. 1897-1916 - Bingquan Ji, Xuan Zhao:

L2 norm convergence of IMEX BDF2 scheme with variable-step for the incompressible Navier-Stokes equations. 1917-1942 - Bashir Nawaz, Kifayat Ullah, Krzysztof Gdawiec

:
Convergence analysis of Picard-SP iteration process for generalized α-nonexpansive mappings. 1943-1964 - Dan Wang, Jicheng Li:

General double-relaxation two-sweep modulus-based matrix splitting iteration methods for horizontal linear complementarity problem. 1965-1983 - Yingsong Jiang, Ruishu Liu

, Xiaojie Wang, Jinghua Zhuo:
Unconditionally positivity-preserving approximations of the Aït-Sahalia type model: Explicit Milstein-type schemes. 1985-2003 - Jingjing Cai, Ziheng Chen, Yuanling Niu:

Convergence rate and exponential stability of backward Euler method for neutral stochastic delay differential equations under generalized monotonicity conditions. 2005-2035 - Zijun Zheng, Gang Pang, Matthias Ehrhardt, Baiyili Liu:

A fast second-order absorbing boundary condition for the linearized Benjamin-Bona-Mahony equation. 2037-2080 - Z. Zarvan, K. Sayevand, R. M. Ganji, H. Jafari:

A reliable numerical algorithm mixed with hypergeometric function for analyzing fractional variational problems. 2081-2112 - Buris Tongnoi

:
The forward-backward-forward algorithm with extrapolation from the past and penalty scheme for solving monotone inclusion problems and applications. 2113-2143 - Mohammad Sharifi

, Ali Abdi
, Gholamreza Hojjati, Aida Mousavi:
Implicit-explicit two-step peer methods with RK stability for implicit part. 2145-2170

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