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Particle Swarm Optimization Numerical Simulation with Exponential Modified cubic B-Spline DQM
Optimization techniques refer to a collection of mathematical algorithms and methodologies used to discover the best possible solutions for specific...
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Numerical Algorithm for Source Determination in a Diffusion–Logistic Model from Integral Data Based on Tensor Optimization
AbstractAn algorithm has been developed for numerically solving the source determination problem in the model of information dissemination in...
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Numerical Investigation of Optimization Algorithms for Adapting the Hydrodynamic Model Based on the Results of Well Tests
AbstractThis study presents a numerical investigation of optimization algorithms for the adaptation of hydrodynamic models based on well test...
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A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings
AbstractA method is proposed for optimizing the diffraction efficiency of multilayer dielectric gratings in the problem of spectral addition of...
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Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting
A new reformulation of a free boundary problem for the Stokes equations, which govern a viscous flow with an overdetermined condition on the free...
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Study and Optimization of N-Particle Numerical Statistical Algorithm for Solving the Boltzmann Equation
AbstractThe main goal of this work is to check the hypothesis that the well-known N -particle statistical algorithm yields a solution estimate for...
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Hierarchically Distributed Optimization with a Flexible and Complexity-Reducing Algorithm
In this paper, the authors consider distributed convex optimization over hierarchical networks. The authors exploit the hierarchical architecture to...
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Second-Order Variational Analysis in Optimization, Variational Stability, and Control Theory, Algorithms, Applications
This fundamental work is a sequel to monographs by the same author: Variational Analysis and Applications (2018) and the two Grundlehren volumes Variat...
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Numerical Methods of Optimization
The numerical methods of optimization start with optimizing functions of one variable, bisection, Fibonacci, and Newton. Then, functions of several...
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Topology optimization of truss-like structures with bidirectional non-orthogonal materials based on mathematical programming
Topology optimization of structures composed of truss-like members has been shown to produce results that are very close to the theoretical solution....
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Alternative extension of the Hager–Zhang conjugate gradient method for vector optimization
Recently, Gonçalves and Prudente proposed an extension of the Hager–Zhang nonlinear conjugate gradient method for vector optimization (Comput Optim...
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Iterative PDE-Constrained Optimization for Seismic Full-Waveform Inversion
AbstractThis paper presents a novel numerical method for the Newton seismic full-waveform inversion (FWI). The method is based on the full-space...
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Optimization of the Geometry of Aeroelastic Energy Harvester
Geometry optimization was performed using a genetic algorithm (GA) that processes data from computational fluid dynamics (CFD) calculations. This...
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Vaidya’s Method for Convex Stochastic Optimization Problems in Small Dimension
AbstractThe paper deals with a general problem of convex stochastic optimization in a space of small dimension (for example, 100 variables). It is...
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Numerical Study of High-Dimensional Optimization Problems Using a Modification of Polyak’s Method
AbstractA modification of Polyak’s special method of convex optimization is proposed. The properties of the corresponding algorithm are studied by...
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Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials
The paper proposes and develops new globally convergent algorithms of the generalized damped Newton type for solving important classes of nonsmooth...
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Parallel-in-time optimization of induction motors
Parallel-in-time (PinT) methods were developed to accelerate time-domain solution of evolutionary problems using modern parallel computer...
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Reliability-Based Design Optimization
Reliability-based design optimization (RBDO) plays an important role in improving product safety, service performance, reducing product operation,...
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Flexibilities of Wavelets as a Computational Basis Set for Large-Scale Electronic Structure Calculations
The BigDFT project started in 2005 with the aim of testing the advantages of using a Daubechies wavelet basis set for Kohn–Sham density functional...
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Tenth-Order Accurate Numerical Method for Solving the Time-Dependent Schrödinger Equation
AbstractA tenth-order accurate method for the numerical solution of the time-dependent Schrödinger equation is presented. The method is based on the...
