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Numerical Algorithms, Volume 81
Volume 81, Number 1, May 2019
- Carolina Vittoria Beccari, Giulio Casciola, Marie-Laurence Mazure

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Design or not design? A numerical characterisation for piecewise Chebyshevian splines. 1-31 - Guang-Xin Huang, Lothar Reichel, Feng Yin:

On the choice of subspace for large-scale Tikhonov regularization problems in general form. 33-55 - Samer S. Ezz-Eldien

, Eid H. Doha:
Fast and precise spectral method for solving pantograph type Volterra integro-differential equations. 57-77 - Fermín S. V. Bazán

, Jonathan Ruiz Quiroz
:
Galerkin approach for estimating boundary data in Poisson equation on annular domain with application to heat transfer coefficient estimation in coiled tubes. 79-98 - Keerati Siriyan, Atid Kangtunyakarn:

A new general system of variational inequalities for convergence theorem and application. 99-123 - Vijay Gupta

, Gancho Tachev, Ana Maria Acu
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Modified Kantorovich operators with better approximation properties. 125-149 - Andreas Potschka

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Backward step control for Hilbert space problems. 151-180 - Robert A. Van Gorder

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Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations. 181-196 - Auwal Bala Abubakar

, Poom Kumam
:
A descent Dai-Liao conjugate gradient method for nonlinear equations. 197-210 - Gwanghyun Jo

, Do Young Kwak:
Geometric multigrid algorithms for elliptic interface problems using structured grids. 211-235 - Samad Noeiaghdam

, Mohammad Ali Fariborzi Araghi
, Saeid Abbasbandy:
Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic. 237-267 - Phan Tu Vuong, Yekini Shehu

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Convergence of an extragradient-type method for variational inequality with applications to optimal control problems. 269-291 - Rashad M. Asharabi

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The use of the sinc-Gaussian sampling formula for approximating the derivatives of analytic functions. 293-312 - Kendall E. Atkinson

, David Da-Kwun Chien, Olaf Hansen:
A spectral method for an elliptic equation with a nonlinear Neumann boundary condition. 313-344 - Luigi Brugnano

, Juan I. Montijano
, Luis Rández:
On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems. 345-376 - Baohua Huang

, Changfeng Ma:
Finite iterative algorithm for the symmetric periodic least squares solutions of a class of periodic Sylvester matrix equations. 377-406
Volume 81, Number 2, June 2019
- Mingyuan Cao, Qingdao Huang

, Yueting Yang
:
A self-adaptive trust region method for extreme ℬ-eigenvalues of symmetric tensors. 407-420 - Na Huang

, Chang-Feng Ma:
Spectral analysis of the preconditioned system for the 3 × 3 block saddle point problem. 421-444 - Ming-Yang Zhao, Huibin Wu, Chunguang Xiong:

Error analysis of HDG approximations for elliptic variational inequality: obstacle problem. 445-463 - Pratibhamoy Das

:
An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh. 465-487 - Yuan-Ming Wang:

A Crank-Nicolson-type compact difference method and its extrapolation for time fractional Cattaneo convection-diffusion equations with smooth solutions. 489-527 - Weiping Bu, Aiguo Xiao

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An h-p version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions. 529-545 - Mykhailo Kuian

, Lothar Reichel, Sergij V. Shiyanovskii:
Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes. 547-559 - Yunong Zhang

, Zhiyuan Qi
, Jian Li
, Binbin Qiu, Min Yang
:
Stepsize domain confirmation and optimum of ZeaD formula for future optimization. 561-574 - Neculai Andrei:

A diagonal quasi-Newton updating method for unconstrained optimization. 575-590 - Rafal Nowak

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Convergence acceleration of alternating series. 591-608 - Jian Li

, Mingzhi Mao
, Frank Uhlig, Yunong Zhang
:
A 5-instant finite difference formula to find discrete time-varying generalized matrix inverses, matrix inverses, and scalar reciprocals. 609-629 - Tao Sun

, Roberto Barrio
, Hao Jiang, Lizhi Cheng:
Convergence rates of accelerated proximal gradient algorithms under independent noise. 631-654 - Emmanuel Lorin

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Domain decomposition method for the N-body time-independent and time-dependent Schrödinger equations. 655-694 - Patrick L. Combettes

, Andrew M. McDonald, Charles A. Micchelli, Massimiliano Pontil:
Learning with optimal interpolation norms. 695-717 - Antonio Fazzi

, Nicola Guglielmi, Ivan Markovsky
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An ODE-based method for computing the approximate greatest common divisor of polynomials. 719-740 - Dario A. Bini, Stefano Massei

, Leonardo Robol
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Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox. 741-769 - Walter Gautschi

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Correction to: Sub-range Jacobi polynomials. 771
Volume 81, Number 3, July 2019
- Silvia Gazzola

, Per Christian Hansen
, James G. Nagy
:
IR Tools: a MATLAB package of iterative regularization methods and large-scale test problems. 773-811 - Truong Minh Tuyen, Nguyen Song Ha

, Nguyen Thi Thu Thuy:
A shrinking projection method for solving the split common null point problem in Banach spaces. 813-832 - Hongwu Zhang, Xiaoju Zhang:

Generalized Tikhonov-type regularization method for the Cauchy problem of a semi-linear elliptic equation. 833-851 - Yan Tang

, Zhiqing Bao:
New semi-implicit midpoint rule for zero of monotone mappings in Banach spaces. 853-878 - Hanzhang Hu, Yiping Fu, Jie Zhou:

Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach. 879-914 - Roberto Andreani

, Viviana A. Ramirez, Sandra A. Santos
, Leonardo D. Secchin
:
Bilevel optimization with a multiobjective problem in the lower level. 915-946 - Fiza Zafar

, Alicia Cordero, Juan R. Torregrosa
:
Stability analysis of a family of optimal fourth-order methods for multiple roots. 947-981 - Pham Ky Anh

, Nguyen The Vinh
:
Self-adaptive gradient projection algorithms for variational inequalities involving non-Lipschitz continuous operators. 983-1001 - Da Xu:

Second-order difference approximations for Volterra equations with the completely monotonic kernels. 1003-1041 - Binbin Qiu, Yunong Zhang

, Jinjin Guo, Zhi Yang
, Xiaodong Li:
New five-step DTZD algorithm for future nonlinear minimization with quartic steady-state error pattern. 1043-1065 - Tran Viet Anh:

Linesearch methods for bilevel split pseudomonotone variational inequality problems. 1067-1087 - Woula Themistoclakis, Marc Van Barel

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Uniform approximation on the sphere by least squares polynomials. 1089-1111 - Yangyang Xu, Ruijuan Zhao

, Bing Zheng:
Two non-parameter iterative algorithms for identifying strong ℋ-tensors. 1113-1128 - Hossein Piri

, Bayaz Daraby
, Samira Rahrovi, Mostafa Ghasemi:
Approximating fixed points of generalized α-nonexpansive mappings in Banach spaces by new faster iteration process. 1129-1148 - Stefan Maruster, Laura Maruster

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On the problem of starting points for iterative methods. 1149-1155 - Jiansong Zhang

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A new combined characteristic mixed finite element method for compressible miscible displacement problem. 1157-1179
Volume 81, Number 4, August 2019
- Luigi Brugnano

, Zdzislaw Jackiewicz, Helmut Podhaisky
, Yajuan Sun, Caren Tischendorf:
Preface. 1181-1182 - Luigi Brugnano

, Felice Iavernaro, Juan I. Montijano, Luis Rández:
Spectrally accurate space-time solution of Hamiltonian PDEs. 1183-1202 - Bin Wang

, Xinyuan Wu:
Global error bounds of one-stage extended RKN integrators for semilinear wave equations. 1203-1218 - Robert I. McLachlan

, Christian Offen
:
Symplectic integration of boundary value problems. 1219-1233 - Yonglei Fang

, Yanping Yang, Xiong You, Bin Wang
:
A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems. 1235-1251 - Robert M. Corless

, C. Yalçin Kaya
, Robert H. C. Moir:
Optimal residuals and the Dahlquist test problem. 1253-1274 - Wei Shi, Xinyuan Wu:

Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems. 1275-1294 - Yanyan Shi, Yajuan Sun, Yang He, Hong Qin

, Jian Liu
:
Symplectic integrators with adaptive time step applied to runaway electron dynamics. 1295-1309 - John C. Butcher

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Trees and B-series. 1311-1325 - Jonas Pade, Caren Tischendorf

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Waveform relaxation: a convergence criterion for differential-algebraic equations. 1327-1342 - Giuseppe Izzo

, Zdzislaw Jackiewicz:
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part. 1343-1359 - Lu Li

, Elena Celledoni:
Krylov projection methods for linear Hamiltonian systems. 1361-1378 - Jiyong Li

, Yachao Gao:
Energy-preserving trigonometrically fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems. 1379-1401 - Saghir Ahmad, John C. Butcher, Winston L. Sweatman:

Variable order and stepsize in general linear methods. 1403-1421 - Benjamin K. Tapley

, Elena Celledoni, Brynjulf Owren
, Helge I. Andersson:
A novel approach to rigid spheroid models in viscous flows using operator splitting methods. 1423-1441 - Kevin R. Green

, Raymond J. Spiteri
:
Gating-enhanced IMEX splitting methods for cardiac monodomain simulation. 1443-1457 - Philip W. Sharp

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The performance of the N-body integrator SSS. 1459-1472 - Stefan Kopecz

, Andreas Meister:
On the existence of three-stage third-order modified Patankar-Runge-Kutta schemes. 1473-1484 - Beibei Zhu

, Yifa Tang, Ruili Zhang, Yihao Zhang:
Symplectic simulation of dark solitons motion for nonlinear Schrödinger equation. 1485-1503 - Mark Adams, Connor Tannahill, Paul H. Muir:

Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs. 1505-1519 - Ruili Zhang, Jian Liu

, Hong Qin
, Yifa Tang:
Energy-preserving algorithm for gyrocenter dynamics of charged particles. 1521-1530 - Shanshan Wang

, Luming Zhang:
Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions. 1531-1546 - Andreas Naumann

, Jörg Wensch:
Multirate finite step methods. 1547-1571

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