Results 31 to 40 of about 1,030 (160)

Optimal Design of Elastic Plates: Hybrid Numerical Method Based on Homogenization and Shape Derivative

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac   +2 more
wiley   +1 more source

ON FINDING THE COEFFICIENTS OF DERIVATIVE IN THE STRING VIBRATION EQUAION WHICH HAS DISCONTINUITY

open access: yesМіжнародний науково-технічний журнал "Проблеми керування та інформатики"
It is studied the problem of finding the coefficient of first order derivative in the string vibration equation. Considering problem is reduced to the optimal control problem.
Сафарова Сафарова
doaj   +1 more source

An Extension on the Local Convergence for the Multi-Step Seventh Order Method with ψ-Continuity Condition in the Banach Spaces

open access: yesFractal and Fractional, 2022
The local convergence analysis of the multi-step seventh order method to solve nonlinear equations is presented in this paper. The point of this paper is that our proposed study requires a weak hypothesis where the Fréchet derivative of the nonlinear ...
Mohammad Taghi Darvishi   +4 more
doaj   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
wiley   +1 more source

Convergence of Halley's method under centered Lipschitz condition on the second Fréchet derivative

open access: yesJournal of Numerical Analysis and Approximation Theory, 2013
We present a semi-local as well as a local convergence analysis of Halley's method for approximating a locally unique solution of a nonlinear equation in a Banach space setting.
Ioannis K. Argyros, Hongmin Ren
doaj   +2 more sources

FRÉCHET-MARINESCU’S DERIVATIVE IN THE MATHEMATICAL MODELING OF DYNAMIC SYSTEMS [PDF]

open access: yesFiabilitate şi Durabilitate, 2013
The paper presents an application of the functional analysis, especially of differentialcalculus in linear topological locally convex spaces leading to formulae representing the evolution ofstates in dynamical systems with infinite fading ...
Eufrosina OTLACAN
doaj  

A Newton-like Midpoint Method for Solving Equations in Banach Space

open access: yesFoundations, 2023
The present paper includes the local and semilocal convergence analysis of a fourth-order method based on the quadrature formula in Banach spaces. The weaker hypotheses used are based only on the first Fréchet derivative.
Samundra Regmi   +3 more
doaj   +1 more source

Synthetic Imagery Improves Ecological Classification When Real Data Are Scarce, Not Direct Substitutes

open access: yesRemote Sensing in Ecology and Conservation, EarlyView.
Image generation models can create synthetic ecological datasets and potentially alleviate limitations from sparse real data. Using 20 tree genera across community‐science and street‐view imagery, we tested whether synthetic images could replace or supplement real data for image classification.
Thomas A. Lake   +3 more
wiley   +1 more source

Recent advances in polymeric chemically amplified positive resists: Materials and design strategies

open access: yesSmart Molecules, EarlyView.
This review summarizes recent advances in the molecular design of positive chemically amplified resists, focusing on photoacid generators and polymer architectures. Key strategies for enhancing sensitivity—including self‐amplification effects, copolymerization of sensitive monomers, controlled polymerization, and photosensitized chemically amplified ...
Litao Zhou   +3 more
wiley   +1 more source

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