Pub Date : 2024-09-09DOI: 10.1080/00207160.2024.2398667
B. Kh. Mousavi
In this paper, we introduce a frame diagonalization of matrices in Mn(C), called QR-frame diagonalization, by using QR-factorization. Furthermore, we show that every matrix A in Mn(C) is QR-frame d...
本文通过 QR 因式分解，介绍了 Mn(C) 中矩阵的框架对角化，称为 QR 框架对角化。此外，我们还证明了 Mn(C) 中的每个矩阵 A 都是 QR 框架对角化的。
{"title":"On frame diagonalization of square matrices","authors":"B. Kh. Mousavi","doi":"10.1080/00207160.2024.2398667","DOIUrl":"https://doi.org/10.1080/00207160.2024.2398667","url":null,"abstract":"In this paper, we introduce a frame diagonalization of matrices in Mn(C), called QR-frame diagonalization, by using QR-factorization. Furthermore, we show that every matrix A in Mn(C) is QR-frame d...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"298 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-31DOI: 10.1080/00207160.2024.2395977
Jingjun Zhao, Jiameng Kong, Yang Xu
For solving the semilinear fractional differential equations with the nonsmooth force term, we construct a class of Runge–Kutta-based convolution quadrature. Moreover, we analyse the convergence of...
{"title":"Convergence of Runge–Kutta-based convolution quadrature for semilinear fractional differential equations","authors":"Jingjun Zhao, Jiameng Kong, Yang Xu","doi":"10.1080/00207160.2024.2395977","DOIUrl":"https://doi.org/10.1080/00207160.2024.2395977","url":null,"abstract":"For solving the semilinear fractional differential equations with the nonsmooth force term, we construct a class of Runge–Kutta-based convolution quadrature. Moreover, we analyse the convergence of...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"59 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-29DOI: 10.1080/00207160.2024.2397659
E. Aourir, H. Laeli Dastjerdi
The principal purpose of this investigation is to present an approximate algorithm for solving third-kind Volterra integral equation with nonlinear vanishing delays using mesh-free techniques based...
{"title":"Numerical investigation of the mesh-free collocation approach for solving third kind VIEs with nonlinear vanishing delays","authors":"E. Aourir, H. Laeli Dastjerdi","doi":"10.1080/00207160.2024.2397659","DOIUrl":"https://doi.org/10.1080/00207160.2024.2397659","url":null,"abstract":"The principal purpose of this investigation is to present an approximate algorithm for solving third-kind Volterra integral equation with nonlinear vanishing delays using mesh-free techniques based...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"36 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-26DOI: 10.1080/00207160.2024.2394860
Z. Zaabouli, A. El Hakoume, L. Afraites, A. Laghrib
In this paper, we formulate a new coupled PDE-based configuration for image denoising. We elaborate a new class of coupled PDE that involves a p(x)-Laplace and a controlled fractional-type operator...
{"title":"A novel coupled p(x) and fractional PDE denoising model with theoretical results","authors":"Z. Zaabouli, A. El Hakoume, L. Afraites, A. Laghrib","doi":"10.1080/00207160.2024.2394860","DOIUrl":"https://doi.org/10.1080/00207160.2024.2394860","url":null,"abstract":"In this paper, we formulate a new coupled PDE-based configuration for image denoising. We elaborate a new class of coupled PDE that involves a p(x)-Laplace and a controlled fractional-type operator...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"17 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-21DOI: 10.1080/00207160.2024.2394660
Hamza Bouda, Chafik Allouch, Ahmed Boujraf, Mohamed Tahrichi
Many physical problems represented as initial and boundary value problems are usually solved by transforming them into integral equations on the real line. Therefore, this paper proposes polynomial...
{"title":"Projection and modified projection methods for nonlinear Hammerstein integral equations on the real line using Hermite polynomials","authors":"Hamza Bouda, Chafik Allouch, Ahmed Boujraf, Mohamed Tahrichi","doi":"10.1080/00207160.2024.2394660","DOIUrl":"https://doi.org/10.1080/00207160.2024.2394660","url":null,"abstract":"Many physical problems represented as initial and boundary value problems are usually solved by transforming them into integral equations on the real line. Therefore, this paper proposes polynomial...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"58 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-13DOI: 10.1080/00207160.2024.2389859
Wenguang Yang, Zhibo Wang, Caixia Ou
In this paper, a finite difference (FD) scheme based on time two-grid algorithm is proposed for solving the two-dimensional time-fractional Fisher equation (2D-TFFE). Firstly, the Caputo fractional...
{"title":"A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation","authors":"Wenguang Yang, Zhibo Wang, Caixia Ou","doi":"10.1080/00207160.2024.2389859","DOIUrl":"https://doi.org/10.1080/00207160.2024.2389859","url":null,"abstract":"In this paper, a finite difference (FD) scheme based on time two-grid algorithm is proposed for solving the two-dimensional time-fractional Fisher equation (2D-TFFE). Firstly, the Caputo fractional...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"75 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142217559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-31DOI: 10.1080/00207160.2024.2385631
Á. Carmona, A. M. Encinas, M. J. Jiménez, Á. Samperio
We address the discrete inverse conductance problem for well-connected spider networks, that is, to recover the conductance function on a well-connected spider network from the Dirichlet-to-Neumann...
{"title":"Stable recovery of piecewise constant conductance on spider networks","authors":"Á. Carmona, A. M. Encinas, M. J. Jiménez, Á. Samperio","doi":"10.1080/00207160.2024.2385631","DOIUrl":"https://doi.org/10.1080/00207160.2024.2385631","url":null,"abstract":"We address the discrete inverse conductance problem for well-connected spider networks, that is, to recover the conductance function on a well-connected spider network from the Dirichlet-to-Neumann...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"54 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141884027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-31DOI: 10.1080/00207160.2024.2385625
Shreya Chauhan, Sudhakar Chaudhary
In this article, we apply NURBS-based isogeometric method to solve a nonlocal degenerate parabolic problem. The isogeometric method has advantages over classical finite element method in terms of e...
{"title":"Isogeometric method for a nonlocal degenerate parabolic problem","authors":"Shreya Chauhan, Sudhakar Chaudhary","doi":"10.1080/00207160.2024.2385625","DOIUrl":"https://doi.org/10.1080/00207160.2024.2385625","url":null,"abstract":"In this article, we apply NURBS-based isogeometric method to solve a nonlocal degenerate parabolic problem. The isogeometric method has advantages over classical finite element method in terms of e...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"47 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141884028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-29DOI: 10.1080/00207160.2024.2384598
V. P. Shyaman, A. Sreelakshmi, Ashish Awasthi
This paper explores the possibility of solving the one-dimensional Burgers' equation with a tailored finite point method (TFPM) based on an explicit stencil along with utilizing the Cole Hopf trans...
{"title":"Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation","authors":"V. P. Shyaman, A. Sreelakshmi, Ashish Awasthi","doi":"10.1080/00207160.2024.2384598","DOIUrl":"https://doi.org/10.1080/00207160.2024.2384598","url":null,"abstract":"This paper explores the possibility of solving the one-dimensional Burgers' equation with a tailored finite point method (TFPM) based on an explicit stencil along with utilizing the Cole Hopf trans...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"30 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141936017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-09DOI: 10.1080/00207160.2024.2374820
HongMing Zhang, Xinping Shao, ZhengFang Zhang, MingYan He
Physics informed neural network (PINN) is a new deep learning paradigm, which embeds the physical information delineated by PDEs in the loss function and optimizes the weights in the neural network...
{"title":"E-PINN: extended physics informed neural network for the forward and inverse problems of high-order nonlinear integro-differential equations","authors":"HongMing Zhang, Xinping Shao, ZhengFang Zhang, MingYan He","doi":"10.1080/00207160.2024.2374820","DOIUrl":"https://doi.org/10.1080/00207160.2024.2374820","url":null,"abstract":"Physics informed neural network (PINN) is a new deep learning paradigm, which embeds the physical information delineated by PDEs in the loss function and optimizes the weights in the neural network...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":"23 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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