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":null,"pages":null},"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}
Pub Date : 2024-07-01DOI: 10.1080/00207160.2024.2372420
Weiguo Li, Wendi Bao, Lili Xing, Zhiwei Guo
In this paper, several Kaczmarz-type numerical methods for solving the matrix equations AX = B and XA = C are proposed, where the coefficient matrix A may be full rank or deficient rank. These meth...
本文提出了几种求解矩阵方程 AX = B 和 XA = C 的 Kaczmarz 型数值方法，其中系数矩阵 A 可以是全秩或缺秩矩阵。这些方法...
{"title":"Kaczmarz-type methods for solving matrix equations","authors":"Weiguo Li, Wendi Bao, Lili Xing, Zhiwei Guo","doi":"10.1080/00207160.2024.2372420","DOIUrl":"https://doi.org/10.1080/00207160.2024.2372420","url":null,"abstract":"In this paper, several Kaczmarz-type numerical methods for solving the matrix equations AX = B and XA = C are proposed, where the coefficient matrix A may be full rank or deficient rank. These meth...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141887336","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 : 2024-06-30DOI: 10.1080/00207160.2024.2371604
Yaser Rostami, Khosrow Maleknejad
Variable-order time fractional Volterra–Fredholm integral partial differential equations with weakly singular kernels are taken into account as results of modeling diverse physical phenomena. In or...
{"title":"Approximate solution to solve singular variable-order fractional Volterra–Fredholm integral partial differential equations type defined using hybrid functions","authors":"Yaser Rostami, Khosrow Maleknejad","doi":"10.1080/00207160.2024.2371604","DOIUrl":"https://doi.org/10.1080/00207160.2024.2371604","url":null,"abstract":"Variable-order time fractional Volterra–Fredholm integral partial differential equations with weakly singular kernels are taken into account as results of modeling diverse physical phenomena. In or...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141517088","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}
This work aims to implement a one-step block method with three optimized hybrid points for solving singularly perturbed nonlinear initial value problems on non-uniform meshes. The basic properties ...
{"title":"An optimized hybrid block method for solving nonlinear singularly perturbed problems using non-uniform Jain-type meshes","authors":"Morteza Bisheh-Niasar, Saeedeh Khaziravi, Higinio Ramos","doi":"10.1080/00207160.2024.2371606","DOIUrl":"https://doi.org/10.1080/00207160.2024.2371606","url":null,"abstract":"This work aims to implement a one-step block method with three optimized hybrid points for solving singularly perturbed nonlinear initial value problems on non-uniform meshes. The basic properties ...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509699","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 : 2024-06-26DOI: 10.1080/00207160.2024.2363467
Leonardo Perotti, Lech A. Grzelak
We propose a new, data-driven approach for efficient pricing of – fixed- and floating-strike – discrete arithmetic Asian and Lookback options when the underlying process is driven by the Heston mod...
{"title":"On pricing of discrete Asian and Lookback options under the Heston model","authors":"Leonardo Perotti, Lech A. Grzelak","doi":"10.1080/00207160.2024.2363467","DOIUrl":"https://doi.org/10.1080/00207160.2024.2363467","url":null,"abstract":"We propose a new, data-driven approach for efficient pricing of – fixed- and floating-strike – discrete arithmetic Asian and Lookback options when the underlying process is driven by the Heston mod...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141531035","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 : 2024-06-14DOI: 10.1080/00207160.2024.2366908
A. Mansoori, S. Effati, Mohammad Eshaghnezhad
{"title":"An iterative method to solve the time delay optimal control problem with bounded control variable","authors":"A. Mansoori, S. Effati, Mohammad Eshaghnezhad","doi":"10.1080/00207160.2024.2366908","DOIUrl":"https://doi.org/10.1080/00207160.2024.2366908","url":null,"abstract":"","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141340084","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 : 2024-06-04DOI: 10.1080/00207160.2024.2362786
Jesus I. Ruiz-Bolaños, H. Kojouharov, Francisco J. Solis
{"title":"Theoretical and numerical study of a skeletal muscle regeneration model with inflammatory response","authors":"Jesus I. Ruiz-Bolaños, H. Kojouharov, Francisco J. Solis","doi":"10.1080/00207160.2024.2362786","DOIUrl":"https://doi.org/10.1080/00207160.2024.2362786","url":null,"abstract":"","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141387530","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 : 2024-05-30DOI: 10.1080/00207160.2024.2360026
Haijian Yang, Tian-Hao Ma, Feng-Nan Hwang, Xiao-Chuan Cai
We aim to develop efficient and robust algorithms for nonsmooth nonlinear systems arising from complementarity problems. The semismooth Newton algorithm is popular due to its reliability and effici...
{"title":"Nonlinearly preconditioned semismooth Newton algorithms for nonlinear nonsmooth systems","authors":"Haijian Yang, Tian-Hao Ma, Feng-Nan Hwang, Xiao-Chuan Cai","doi":"10.1080/00207160.2024.2360026","DOIUrl":"https://doi.org/10.1080/00207160.2024.2360026","url":null,"abstract":"We aim to develop efficient and robust algorithms for nonsmooth nonlinear systems arising from complementarity problems. The semismooth Newton algorithm is popular due to its reliability and effici...","PeriodicalId":13911,"journal":{"name":"International Journal of Computer Mathematics","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509700","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：