查看更多>>摘要：In this paper the problem of Synthetic Aperture Radar (SAR) and optical satellite images co-registration is considered. Because of the distinct natures of SAR and optical images, there exist huge radiometric and geometric differences between such images. As a result, the traditional registration approaches are no longer applicable in this case and it makes the registration process challenging. Mostly motivated by the crop field monitoring problem, we propose a new variational approach to the co-registration of SAR and optical images. The core idea of our approach is to involve into consideration a constrained optimization problem on the set of affine transformations for which the cost functional is the L-p-cross-correlation between sustainable parts of two fattened skeletons for the selectively smoothed SAR image and the luma component of an optical image, respectively. We discuss the consistency of the proposed statement of this problem, propose the scheme for its regularization, derive the corresponding optimality system, and describe in detail the algorithm for the practical implementation of co-registration procedure. To evaluate the performance of the proposed approach, we illustrate its crucial steps with the help of several numerical experiments and real satellite images. (C) 2021 Elsevier B.V. All rights reserved.
查看更多>>摘要：In this paper, we propose a modified SOR-like method for solving absolute value equations associated with second order cones (SOCAVE in short), which is obtained by reformulating the SOCAVE as a two-by-two block nonlinear equation. The convergence analysis and error estimation of this method are established under mild assumptions on system matrix and iteration parameters. And, the optimal iteration parameters and the corresponding optimal convergence factor are studied. In particular, we present the approximate optimal iteration parameters which are independent of the number of iterations. Numerical results are given to show the efficiency of the proposed iteration method with suitable parameters. (C) 2021 Elsevier B.V. All rights reserved.
查看更多>>摘要：A new family of Explicit Runge-Kutta-Nystrom pair of orders seven and five is studied here. Its main advantage is that it spends only six stages per step. This is a remarkable improvement since only pairs of orders 6(4) were attained at this cost until now. We present a particular pair with minimal truncation error coefficients. Numerical results show the superiority of our proposal over a set of relevant problems. (C) 2021 Elsevier B.V. All rights reserved.
查看更多>>摘要：In this paper we formulate the convergence rates of the iteratively regularized Gauss-Newton method by defining the iterates via convex optimization problems in a Banach space setting. We employ the concept of conditional stability to deduce the convergence rates in place of the well known concept of variational inequalities. To validate our abstract theory, we also discuss an ill-posed inverse problem that satisfies our assumptions. We also compare our results with the existing results in the literature. (C) 2021 Elsevier B.V. All rights reserved.
查看更多>>摘要：A new heuristic parameter choice rule is proposed, which is an important process in solving the linear ill-posed integral equation. Based on multiscale Galerkin projection, we establish the error upper bound between the approximate solution obtained by this rule and the exact solution. Under certain conditions, we prove that the approximate solution obtained by this rule can reach the optimal convergence rate. Since the computational cost will be very large when the dimension of space increases, we analyze a special m-dimensional integral operator that can be transformed to m one-dimensional integral operator, which can reduce the computational cost greatly. Numerical experiments show that the proposed heuristic rule is promising among the known heuristic parameter choice rules. (C) 2021 Elsevier B.V. All rights reserved.
查看更多>>摘要：Based on the absolute value equation for minimizing two vectors, we present error bounds for the linear complementarity problems with an H+-matrix. Some of the computable bounds are given by providing the particular diagonal parameter matrix D. The proposed bounds improve some existing ones when D is chosen properly. (C) 2021 Published by Elsevier B.V.
查看更多>>摘要：This paper describes the numerical analysis of the three-point bending test of glued- laminated timber arches with the fibers aligned with the longitudinal direction. The arches were cut with the vertical notch of 0.5 or 0.25 times the cross-sectional height in the middle of the arch span of 1700 mm or 1830 mm. The 2D homogeneous orthotropic constitutive model of tensile and shear fracture in timber, which has been recently proposed by the authors, was used for the non-linear finite element simulation. The off-axis and the compact tension test results, from the authors' experimental campaign, were used to calibrate the model components. These are (i) orthotropic failure criterion, (ii) crack-type criterion, and (iii) cohesive (traction-separation) law for a crack along or across the grain. The numerical results show that the model can adequately simulate the quantitative response of the arches, including both the linear and non-linear behavior. Furthermore, the model captures well the most distinctive features of the cracking. (C) 2021 Elsevier B.V. All rights reserved.
查看更多>>摘要：This paper focuses on the construction and analysis of the energy-conserving numerical schemes for the generalized nonlinear space fractional Schrodinger equations with wave operator. Combining the scalar auxiliary variable (SAV) approach, we present an energy-conserving and linearly implicit scheme, while the previous conservative schemes are generally fully implicit. The energy-conserving property, boundedness and convergence of the numerical solution of the fully discrete scheme are derived for one and multi-dimensional cases. The numerical analysis is also considered. Finally, numerical examples on several fractional models illustrate that the proposed scheme can guarantee conservation of the system energy and confirm our theoretical results. (C) 2021 Elsevier B.V. All rights reserved.
查看更多>>摘要：This paper presents the rates of uniform strong consistency of wavelet estimation for nonparametric function in sup-norm loss by introducing an empirical process approach. A compact support assumption on the explanatory variable is commonly used in nonparametric regression analysis. In the article, we consider the wavelet estimation analysis without any assumption on the compacity of the support of the explanatory variable. The optimal uniform convergence rates of the wavelet estimators are achieved by suitably choosing resolution level. These results are useful for wavelet theory on nonparametric signal recovery and analysis. (C) 2021 Elsevier B.V. All rights reserved.
查看更多>>摘要：The supply chain network model is constructed in this study based on comparison of traditional supply chain and the modern supply chain so as to solve the poor communication effect, uncirculated information, and unbalanced supply and demand in enterprises. After three algorithms and three commodity predication models are compared, a model combining with the network neural commodity demand predication method and the particle swarm optimization (PSO) algorithm is used to comprehensively evaluate the predication effect and algorithm performance by using the supply chain data of the enterprises, coming up with an optimal model. Results of the study show that: on national warehouses and regional warehouses, the difference between the predicted value and the actual value of autoregressive integrated (AR) mixture density networks (MDN) (AR-MDN) is 15%, the average outlier is between 450 and 150, the score of root mean square error (RMSE) and mean absolute percentage error (MAPE) is 117.342 and 2.334, respectively. It indicates that the fitting trend, prediction accuracy, and stability of the model are better than those of the autoregressive integrated moving average model (ARIMA) and multilayer perceptron-long short term memory (MLP-LSTM) model. Regarding determination of the stochastic requirements, the average optimal solution of the improved PSO (IPSO) is 0.45, indicating that performance of the algorithm is significantly stronger than that of the PSO algorithm and the artificial bee colony (ABC) algorithm; the comprehensive evaluation score of the combination model for the IPSO algorithm and the AR-MDN commodity prediction model is 67.41 with the optimal effect. The supply chain network model constructed in this study can provide enterprises with a good commodity demand predication method and improve their ability to respond to risks in the supply chain. (C) 2021 Elsevier B.V. All rights reserved.
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