Results 41 to 50 of about 14,159 (238)
Accelerating the Speed of Convergence for High-Order Methods to Solve Equations
MathematicsThis article introduces a multistep method for developing sequences that solve Banach space-valued equations. It provides error estimates, a radius of convergence, and uniqueness results.
Ramandeep Behl +2 more
doaj +1 more source
Abstract and Applied Analysis, 2010 We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition by using the notion of metric projections. Applying this result, we also prove a convergence theorem for an iterative scheme by the shrinking projection ...
Yasunori Kimura
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Biomimetics, 2023 With the rapid development of the geometric modeling industry and computer technology, the design and shape optimization of complex curve shapes have now become a very important research topic in CAGD.
Kang Chen, Liuxin Chen, Gang Hu
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Shaping Matter with Acoustic Waves: From Particles to Functional Structures
Advanced Functional Materials, EarlyView.Acoustic‐directed assembly is reviewed as a materials‐oriented strategy for organizing particles, polymers, metals, and biological systems into functional structures. The review distinguishes reversible manipulation from permanent structure formation through medium fixation, particle fixation, and in situ material generation, highlighting routes toward
Avraham Kenigsberg +5 more
wiley +1 more source
On the Convergence Analysis of Aggregated Heavy-Ball Method
, 2022 17 pages, 2 ...
openaire +3 more sources
Advanced Materials, EarlyView.Metal‐free carbon catalysts enable the sustainable synthesis of hydrogen peroxide via two‐electron oxygen reduction; however, active site complexity continues to hinder reliable interpretation. This review critiques correlation‐based approaches and highlights the importance of orthogonal experimental designs, standardized catalyst passports ...
Dayu Zhu +3 more
wiley +1 more source
Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
wiley +1 more source
Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions
Mathematical Modelling and Analysis, 2017 We present a local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Earlier studies cannot be used to solve equations using such methods.
Ioannis K. Argyros, Santhosh George
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Phase Engineering of Nanomaterials (PEN): Evolution, Current Challenges, and Future Opportunities
Advanced Materials, EarlyView.This review summarizes the synthesis, phase transition, advanced characterization spanning ex situ to in situ and operando techniques, and diverse applications of phase engineering of nanomaterials (PEN). It further outlines key challenges and future opportunities, such as phase stability, architecture control, and artificial intelligence (AI)‐driven ...
Ye Chen +7 more
wiley +1 more source
Advanced Materials, EarlyView.This review summarizes the principles and challenges of nonaqueous lithium‐oxygen batteries and recent advances in cathode catalysts, including carbon‐based materials, metals, oxides, sulfides, nitrides, carbides, and redox mediators. It highlights emerging design strategies and artificial intelligence‐driven approaches, emphasizing data‐assisted ...
Yuqing Yao +8 more
wiley +1 more source