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The spectra of signed graphs obtained by $$dot{H}$$-(generalized) join operation 用$$dot{H}$$ -(广义)联接运算得到的有符号图谱
Comput. Math. Appl. Pub Date : 2023-02-09 DOI: 10.1007/s40314-023-02205-0
Yuying Li, Peikang Zhang, Kexiang Xu
{"title":"The spectra of signed graphs obtained by $$dot{H}$$-(generalized) join operation","authors":"Yuying Li, Peikang Zhang, Kexiang Xu","doi":"10.1007/s40314-023-02205-0","DOIUrl":"https://doi.org/10.1007/s40314-023-02205-0","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90779059","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
A Numerical Method for a Nonlocal Form of Richards' Equation Based on Peridynamic Theory 基于周动力学理论的非局部形式Richards方程的数值解法
Comput. Math. Appl. Pub Date : 2023-01-27 DOI: 10.48550/arXiv.2301.11642
M. Berardi, F. Difonzo, S. F. Pellegrino
{"title":"A Numerical Method for a Nonlocal Form of Richards' Equation Based on Peridynamic Theory","authors":"M. Berardi, F. Difonzo, S. F. Pellegrino","doi":"10.48550/arXiv.2301.11642","DOIUrl":"https://doi.org/10.48550/arXiv.2301.11642","url":null,"abstract":"Forecasting water content dynamics in heterogeneous porous media has significant interest in hydrological applications; in particular, the treatment of infiltration when in presence of cracks and fractures can be accomplished resorting to peridynamic theory, which allows a proper modeling of non localities in space. In this framework, we make use of Chebyshev transform on the diffusive component of the equation and then we integrate forward in time using an explicit method. We prove that the proposed spectral numerical scheme provides a solution converging to the unique solution in some appropriate Sobolev space. We finally exemplify on several different soils, also considering a sink term representing the root water uptake.","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75445786","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
On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in $$L^{N} left( mathbb {R} ^{N}right) ^{N}$$ 中时间分数阶Navier-Stokes方程温和解的唯一性 $$L^{N} left( mathbb {R} ^{N}right) ^{N}$$
Comput. Math. Appl. Pub Date : 2023-01-12 DOI: 10.1007/s40314-023-02185-1
J. Sousa, S. Gala, E. C. Oliveira
{"title":"On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in $$L^{N} left( mathbb {R} ^{N}right) ^{N}$$","authors":"J. Sousa, S. Gala, E. C. Oliveira","doi":"10.1007/s40314-023-02185-1","DOIUrl":"https://doi.org/10.1007/s40314-023-02185-1","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89522772","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
Weighted dual hesitant $$q$$-rung orthopair fuzzy sets and their application in multicriteria group decision making based on Hamacher operations 加权对偶犹豫$$q$$ -阶正形模糊集及其在基于Hamacher操作的多准则群决策中的应用
Comput. Math. Appl. Pub Date : 2023-01-10 DOI: 10.1007/s40314-022-02160-2
A. Sarkar, N. Deb, A. Biswas
{"title":"Weighted dual hesitant $$q$$-rung orthopair fuzzy sets and their application in multicriteria group decision making based on Hamacher operations","authors":"A. Sarkar, N. Deb, A. Biswas","doi":"10.1007/s40314-022-02160-2","DOIUrl":"https://doi.org/10.1007/s40314-022-02160-2","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82184845","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: 4
Approximation properties of univariate and bivariate new class $$lambda $$-Bernstein-Kantorovich operators and its associated GBS operators 一元和二元新类$$lambda $$ -Bernstein-Kantorovich算子及其相关GBS算子的逼近性质
Comput. Math. Appl. Pub Date : 2023-01-06 DOI: 10.1007/s40314-022-02182-w
R. Aslan
{"title":"Approximation properties of univariate and bivariate new class $$lambda $$-Bernstein-Kantorovich operators and its associated GBS operators","authors":"R. Aslan","doi":"10.1007/s40314-022-02182-w","DOIUrl":"https://doi.org/10.1007/s40314-022-02182-w","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86731032","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
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type Kirchhoff型时间分数阶非局部扩散波方程的梯度网格L1格式对称分数阶约简方法
Comput. Math. Appl. Pub Date : 2023-01-04 DOI: 10.48550/arXiv.2301.01670
Pari J. Kundaliya, Sudhakar Chaudhary
{"title":"Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type","authors":"Pari J. Kundaliya, Sudhakar Chaudhary","doi":"10.48550/arXiv.2301.01670","DOIUrl":"https://doi.org/10.48550/arXiv.2301.01670","url":null,"abstract":"In this article, we propose a linearized fully-discrete scheme for solving a time fractional nonlocal diffusion-wave equation of Kirchhoff type. The scheme is established by using the finite element method in space and the $L1$ scheme in time. We derive the $alpha$-robust textit{a priori} bound and textit{a priori} error estimate for the fully-discrete solution in $L^{infty}big(H^1_0(Omega)big)$ norm, where $alpha in (1,2)$ is the order of time fractional derivative. Finally, we perform some numerical experiments to verify the theoretical results.","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88830958","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
Exponential meshes and H-matrices 指数网格和h矩阵
Comput. Math. Appl. Pub Date : 2023-01-01 DOI: 10.48550/arXiv.2203.09925
Niklas Angleitner, M. Faustmann, J. Melenk
{"title":"Exponential meshes and H-matrices","authors":"Niklas Angleitner, M. Faustmann, J. Melenk","doi":"10.48550/arXiv.2203.09925","DOIUrl":"https://doi.org/10.48550/arXiv.2203.09925","url":null,"abstract":". In [AFM21a], we proved that the inverse of the stiffness matrix of an h -version finite element method (FEM) applied to scalar second order elliptic boundary value problems can be approximated at an exponential rate in the block rank by H -matrices. Here, we improve on this result in multiple ways: (1) The class of meshes is significantly enlarged and includes certain exponentially graded meshes. (2) The dependence on the polynomial degree p of the discrete ansatz space is made explicit in our analysis. (3) The bound for the approximation error is sharpened, and (4) the proof is simplified.","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88162866","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
Delay-dependent and order-dependent asymptotic stability conditions for Riemann-Liouville fractional-order systems with time delays 具有时滞的Riemann-Liouville分数阶系统的时滞相关和阶相关渐近稳定性条件
Comput. Math. Appl. Pub Date : 2023-01-01 DOI: 10.1007/s40314-023-02257-2
Xiao‐Chuang Jin, Jun‐Guo Lu, Qing‐Hao Zhang
{"title":"Delay-dependent and order-dependent asymptotic stability conditions for Riemann-Liouville fractional-order systems with time delays","authors":"Xiao‐Chuang Jin, Jun‐Guo Lu, Qing‐Hao Zhang","doi":"10.1007/s40314-023-02257-2","DOIUrl":"https://doi.org/10.1007/s40314-023-02257-2","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72775110","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
A finite elements approach for spread contract valuation via associated two-dimensional PIDE 基于相关二维PIDE的价差合约估值的有限元方法
Comput. Math. Appl. Pub Date : 2023-01-01 DOI: 10.1007/s40314-022-02149-x
P. Olivares, C. Díaz
{"title":"A finite elements approach for spread contract valuation via associated two-dimensional PIDE","authors":"P. Olivares, C. Díaz","doi":"10.1007/s40314-022-02149-x","DOIUrl":"https://doi.org/10.1007/s40314-022-02149-x","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75788164","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
A smoothness indicators free third-order weighted ENO scheme for gas-dynamic Euler equations 一种无光滑指标的三阶加权ENO气体动力欧拉方程格式
Comput. Math. Appl. Pub Date : 2023-01-01 DOI: 10.1007/s40314-023-02300-2
Shujiang Tang
{"title":"A smoothness indicators free third-order weighted ENO scheme for gas-dynamic Euler equations","authors":"Shujiang Tang","doi":"10.1007/s40314-023-02300-2","DOIUrl":"https://doi.org/10.1007/s40314-023-02300-2","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73181784","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
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