Iterative methods for solving fractional differential equations using non-polynomial splines by Faraidun K. Hamasalh, Gulnar W. Sadiq, Emad S. Salam

“…The Gauss-Seidel and conjugate gradient methods are used to iteratively solve the linear system. Finally, to validate the method’s accuracy, several numerical examples with known analytical solutions are tested. …”
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Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces by Zhanfei Zuo

“…The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. …”
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Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications by Jie Jia, Khurram Shabbir, Khushdil Ahmad, Nehad Ali Shah, Thongchai Botmart

“…In the article, we have proposed a new type of hybrid iterative scheme which is a hybrid of Picard and Thakur et al. repetitive schemes. …”
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Introduction to Higher-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations by Rajinder Thukral

“…Per iteration the new methods require three evaluations of function and one of its first derivatives. …”
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Variational Iteration Method for Initial and Boundary Value Problems Using He's Polynomials by Syed Tauseef Mohyud-Din, Ahmet Yildirim, M. M. Hosseini

“…This paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. …”
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Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation by Chaozhu Hu, Bin Liu, Songfa Xie

“…A numerical iterative scheme is introduced to obtain an accurate approximate solution and to give one example to demonstrate the accuracy and efficiency of the new approach.…”
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Convergence of a Viscosity Iterative Method for Multivalued Nonself-Mappings in Banach Spaces by Jong Soo Jung

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A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data by Tobias Knopp, Stefan Kunis, Daniel Potts

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Iterative Linear Quadratic Optimization for Nonlinear Control: Differentiable Programming Algorithmic Templates by Roulet, Vincent, Srinivasa, Siddhartha, Fazel, Maryam, Harchaoui, Zaid

“…Iterative optimization algorithms depend on access to information about the objective function. …”
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The Polynomial Pivots as Initial Values for a New Root-Finding Iterative Method by Mario Lázaro, Pedro Martín, Antonio Agüero, Ignacio Ferrer

“…A new iterative method for polynomial root-finding based on the development of two novel recursive functions is proposed. …”
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Optimizing the frequency of question items for bird species in quiz-style online training by Yui Ogawa, Keita Fukasawa, Akira Yoshioka, Nao Kumada, Akio Takenaka, Takashi Kamijo

“…We previously developed an online birdsong-identification training tool called TORI-TORE. However, its adaptive algorithm, in which question items regarding the species with lower correct answer rates for each user were presented more frequently, was not as effective as the conventional baseline training, in which the frequency of question items was uniform among species. …”
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Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model by A. Harir, S. Melliani, H. El Harfi, L. S. Chadli

“…The mathematical model based on four nonlinear ODEs is presented, and the corresponding numerical results are studied by applying the variational iteration method (VIM) and differential transformation method (DTM).…”
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Implicit and Explicit Iterative Methods for Systems of Variational Inequalities and Zeros of Accretive Operators by Lu-Chuan Ceng, Saleh Abdullah Al-Mezel, Qamrul Hasan Ansari

“…Based on Korpelevich's extragradient method, hybrid steepest-descent method, and viscosity approximation method, we propose implicit and explicit iterative schemes for computing a common element of the solution set of a system of variational inequalities and the set of zeros of an accretive operator, which is also a unique solution of a variational inequality. …”
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Convergence of Some Iterative Algorithms for System of Generalized Set-Valued Variational Inequalities by M. Akram, Aysha Khan, M. Dilshad

“…Further, we propose an iterative algorithm and discuss its convergence. Moreover, we establish equivalence between the system of variational inequalities and altering points problem. …”
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Accounting for Recent Changes of Gain in Dealing with Ties in Iterative Methods for Circuit Partitioning by Yong-Hyuk Kim, Yourim Yoon

“…In iterative methods for partitioning circuits, there is often a choice among several modules which will all produce the largest available reduction in cut size if they are moved between subsets in the partition. …”
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Iterative Algorithms for Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators by Caiping Yang, Songnian He

“…In this paper, relaxed and self-adaptive iterative algorithms are proposed for computing this unique solution. …”
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Iterative Solutions of a Set of Matrix Equations by Using the Hierarchical Identification Principle by Huamin Zhang

“…This paper is concerned with iterative solution to a class of the real coupled matrix equations. …”
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Design of IIR Digital Filters with Arbitrary Flatness Using Iterative Quadratic Programming by Yasunori Sugita

“…In the design of Chebyshev-type filters, the flatness condition in the stopband is preincorporated into a transfer function, and an equiripple characteristic in the passband is achieved by iteratively solving the QP problem using the transfer function. …”
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The Savvy Survey #6c: Constructing Closed-Ended Items for a Questionnaire by Jessica L. Gouldthorpe, Glenn D. Israel

“… This 5-page fact sheet presents an overview of constructing closed-ended items for a questionnaire. It is part of the Savvy Survey Series. …”
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An Evidence-Based Update on the Impact of Local Antimicrobials as Adjunct to Periodontal Therapy by Nabaz Yahya Hussein, Sadat Abdulla Aziz, Twana Mohammed M. Ways, Omed Amiri, Hisham Al-Obaidi, Dianne Ford

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