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Uniform Initialization in Response Space for PSO and its Applications 粒子群响应空间的均匀初始化及其应用
Appl. Math. Comput. Pub Date : 2022-10-01 DOI: 10.1016/j.amc.2022.127351
Kaipeng Ji, P. Zhao, X. Zhou, Yuhong Chen, Zhengyang Dong, Jianguo Zheng, Jianzhong Fu, Huamin Zhou
{"title":"Uniform Initialization in Response Space for PSO and its Applications","authors":"Kaipeng Ji, P. Zhao, X. Zhou, Yuhong Chen, Zhengyang Dong, Jianguo Zheng, Jianzhong Fu, Huamin Zhou","doi":"10.1016/j.amc.2022.127351","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127351","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"139 1","pages":"127351"},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91429374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Dynamic event-triggered tracking control for model-free networked control systems 无模型网络控制系统的动态事件触发跟踪控制
Appl. Math. Comput. Pub Date : 2022-10-01 DOI: 10.1016/j.amc.2022.127349
Lin Zhu, Weiwei Che, Xiao‐Zheng Jin
{"title":"Dynamic event-triggered tracking control for model-free networked control systems","authors":"Lin Zhu, Weiwei Che, Xiao‐Zheng Jin","doi":"10.1016/j.amc.2022.127349","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127349","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"1 1","pages":"127349"},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83653063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes 可压缩流的移边多项式修正:使用线性网格的高阶曲面域
Appl. Math. Comput. Pub Date : 2022-09-29 DOI: 10.48550/arXiv.2209.14892
M. Ciallella, Elena Gaburro, Marco Lorini, M. Ricchiuto
{"title":"Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes","authors":"M. Ciallella, Elena Gaburro, Marco Lorini, M. Ricchiuto","doi":"10.48550/arXiv.2209.14892","DOIUrl":"https://doi.org/10.48550/arXiv.2209.14892","url":null,"abstract":"In this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Dirichlet, characteristic far-field and slip-wall), both in 2D and 3D, preserving a high order of accuracy without the need of curved meshes. The method proposed is a simplified reformulation of the Shifted Boundary Method (SBM) and relies on a correction based on the extrapolated value of the in cell polynomial to the true geometry, thus not requiring the explicit evaluation of high order Taylor series. Moreover, this strategy could be easily implemented into any already existing finite element and finite volume code. Several validation tests are presented to prove the convergence properties up to order four for 2D and 3D simulations with curved boundaries, as well as an effective extension to flows with shocks.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"123 1","pages":"127698"},"PeriodicalIF":0.0,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86674402","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data 具有可变地形和不连续数据的二维浅水方程的几何本征拉格朗日-欧拉格式
Appl. Math. Comput. Pub Date : 2022-09-08 DOI: 10.48550/arXiv.2209.03795
E. Abreu, Elena Bachini, J. Pérez, M. Putti
{"title":"A geometrically intrinsic Lagrangian-Eulerian scheme for 2D Shallow Water Equations with variable topography and discontinuous data","authors":"E. Abreu, Elena Bachini, J. Pérez, M. Putti","doi":"10.48550/arXiv.2209.03795","DOIUrl":"https://doi.org/10.48550/arXiv.2209.03795","url":null,"abstract":"We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. Using a local curvilinear reference system anchored on the bottom surface, we develop an effective first-order and high-resolution space-time discretization of the no-flow surfaces and solve a Lagrangian initial value problem that describes the evolution of the balance laws governing the geometrically intrinsic shallow water equations. The evolved solution set is then projected back to the original surface grid to complete the proposed Lagrangian-Eulerian formulation. The resulting scheme maintains monotonicity and captures shocks without providing excessive numerical dissipation also in the presence of non-autonomous fluxes such as those arising from the geometrically intrinsic shallow water equation on variable topographies. We provide a representative set of numerical examples to illustrate the accuracy and robustness of the proposed Lagrangian-Eulerian formulation for two-dimensional surfaces with general curvatures and discontinuous initial conditions.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"30 1","pages":"127776"},"PeriodicalIF":0.0,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82437333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A hybrid finite element - finite volume method for conservation laws 守恒律的有限元-有限体积混合法
Appl. Math. Comput. Pub Date : 2022-08-30 DOI: 10.48550/arXiv.2208.14477
R. Abgrall, Wasilij Barsukow
{"title":"A hybrid finite element - finite volume method for conservation laws","authors":"R. Abgrall, Wasilij Barsukow","doi":"10.48550/arXiv.2208.14477","DOIUrl":"https://doi.org/10.48550/arXiv.2208.14477","url":null,"abstract":"We propose an arbitrarily high-order accurate numerical method for conservation laws that is based on a continuous approximation of the solution. The degrees of freedom are point values at cell interfaces and moments of the solution inside the cell. To lowest ($3^text{rd}$) order this method reduces to the Active Flux method. The update of the moments is achieved immediately by integrating the conservation law over the cell, integrating by parts and employing the continuity across cell interfaces. We propose two ways how the point values can be updated in time: either by first deriving a semi-discrete method that uses a finite-difference-type formula to approximate the spatial derivative, and integrating this method e.g. with a Runge-Kutta scheme, or by using a characteristics-based update, which is inspired by the original (fully discrete) Active Flux method. We analyze stability and accuracy of the resulting methods.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"39 1","pages":"127846"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85647373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Enhancing level set-based topology optimization with anisotropic graded meshes 利用各向异性梯度网格增强基于水平集的拓扑优化
Appl. Math. Comput. Pub Date : 2022-08-22 DOI: 10.48550/arXiv.2208.10501
D. Cortellessa, Nicola Ferro, S. Perotto, S. Micheletti
{"title":"Enhancing level set-based topology optimization with anisotropic graded meshes","authors":"D. Cortellessa, Nicola Ferro, S. Perotto, S. Micheletti","doi":"10.48550/arXiv.2208.10501","DOIUrl":"https://doi.org/10.48550/arXiv.2208.10501","url":null,"abstract":"We propose a new algorithm for the design of topologically optimized lightweight structures, under a minimum compliance requirement. The new process enhances a standard level set formulation in terms of computational efficiency, thanks to the employment of a strategic computational mesh. We pursue a twofold goal, i.e., to deliver a final layout characterized by a smooth contour and reliable mechanical properties. The smoothness of the optimized structure is ensured by the employment of an anisotropic adapted mesh, which sharply captures the material/void interface. A robust mechanical performance is guaranteed by a uniform tessellation of the internal part of the optimized configuration. A thorough numerical investigation corroborates the effectiveness of the proposed algorithm as a reliable and computationally affordable design tool, both in two- and three-dimensional contexts.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"33 1","pages":"127903"},"PeriodicalIF":0.0,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76239552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Foreign Exchange Options on Heston-CIR Model Under Lévy Process Framework lsamvy过程框架下Heston-CIR模型的外汇期权研究
Appl. Math. Comput. Pub Date : 2022-08-08 DOI: 10.2139/ssrn.4185466
G. Ascione, F. Mehrdoust, G. Orlando, O. Samimi
{"title":"Foreign Exchange Options on Heston-CIR Model Under Lévy Process Framework","authors":"G. Ascione, F. Mehrdoust, G. Orlando, O. Samimi","doi":"10.2139/ssrn.4185466","DOIUrl":"https://doi.org/10.2139/ssrn.4185466","url":null,"abstract":"In this paper, we consider the Heston-CIR model with L'{e}vy process for pricing in the foreign exchange (FX) market by providing a new formula that better fits the distribution of prices. To do that, first, we study the existence and uniqueness of the solution to this model. Second, we examine the strong convergence of the L'{e}vy process with stochastic domestic short interest rates, foreign short interest rates and stochastic volatility. Then, we apply Least Squares Monte Carlo (LSM) method for pricing American options under our model with stochastic volatility and stochastic interest rate. Finally, by considering real-world market data, we illustrate numerical results for the four-factor Heston-CIR L'{e}vy model.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"10 1","pages":"127851"},"PeriodicalIF":0.0,"publicationDate":"2022-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81679527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Mathematical modeling of electrothermal couple stress nanofluid flow and entropy in a porous microchannel under injection process 注入过程中多孔微通道内电热偶应力、纳米流体流动和熵的数学建模
Appl. Math. Comput. Pub Date : 2022-08-01 DOI: 10.1016/j.amc.2022.127110
S. Mukherjee, G. C. Shit
{"title":"Mathematical modeling of electrothermal couple stress nanofluid flow and entropy in a porous microchannel under injection process","authors":"S. Mukherjee, G. C. Shit","doi":"10.1016/j.amc.2022.127110","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127110","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"88 1","pages":"127110"},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76793905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices 复对称正半定系数矩阵线性方程组的单步迭代法
Appl. Math. Comput. Pub Date : 2022-08-01 DOI: 10.1016/j.amc.2022.127111
Akbar Shirilord, M. Dehghan
{"title":"Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices","authors":"Akbar Shirilord, M. Dehghan","doi":"10.1016/j.amc.2022.127111","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127111","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"34-35 1","pages":"127111"},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74310136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Implementation of fractional-order difference via Takenaka-Malmquist functions 通过Takenaka-Malmquist函数实现分数阶差分
Appl. Math. Comput. Pub Date : 2022-08-01 DOI: 10.1016/j.amc.2022.127452
R. Stanisławski, Kamil Koziol, Marek Rydel
{"title":"Implementation of fractional-order difference via Takenaka-Malmquist functions","authors":"R. Stanisławski, Kamil Koziol, Marek Rydel","doi":"10.1016/j.amc.2022.127452","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127452","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"31 1","pages":"127452"},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74285477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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