Journal of Computational and Applied Mathematics最新文献_第7页

Temporal splitting with Explicit-Implicit-Null method for nonlinear generalized multiscale subdiffusion equations 非线性广义多尺度次扩散方程的显-隐-零法时间分裂

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-05 DOI: 10.1016/j.cam.2025.116885

Zhengya Yang , Yating Wang , Wing Tat Leung

{"title":"Temporal splitting with Explicit-Implicit-Null method for nonlinear generalized multiscale subdiffusion equations","authors":"Zhengya Yang , Yating Wang , Wing Tat Leung","doi":"10.1016/j.cam.2025.116885","DOIUrl":"10.1016/j.cam.2025.116885","url":null,"abstract":"<div><div>In this paper, we propose an efficient temporal splitting scheme coupled with explicit-implicit-null (EIN) method for nonlinear time fractional multiscale diffusion equations with generalized kernel functions. To avoid the iterative method for nonlinear problems at each time step, the idea of EIN is to add and subtract a linear term to the original equation and apply implicit and explicit time marching scheme to the linear damping term and other terms, respectively. To handle the multiscale feature in the linear part, we further introduce a partially explicit temporal splitting scheme and construct two multiscale subspaces by means of the nonlocal multi-continua method to speed up the computation. The splitting schemes treat implicitly the subspace containing the high contrast and explicitly the other. We perform a rigorous stability analysis of the proposed algorithm and give the stability condition. Several numerical experiments are presented to confirm our theoretical results and demonstrate that the proposed algorithm achieves high accuracy while reducing computational cost for high contrast problems.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116885"},"PeriodicalIF":2.1,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144570487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A scalar/vector stabilized hybrid mixed method for Darcy–Stokes flows 达西-斯托克斯流的标量/矢量稳定混合混合方法

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-05 DOI: 10.1016/j.cam.2025.116879

Iury Igreja

{"title":"A scalar/vector stabilized hybrid mixed method for Darcy–Stokes flows","authors":"Iury Igreja","doi":"10.1016/j.cam.2025.116879","DOIUrl":"10.1016/j.cam.2025.116879","url":null,"abstract":"<div><div>This work proposes a novel stabilized mixed hybrid finite element formulation for simulating coupled Stokes–Darcy flows. This approach achieves a significant reduction in global degrees of freedom compared to hybrid formulations that employ vector-valued Lagrange multipliers for the velocity field in both the free fluid and porous media regions. This advantage is realized by employing a vector multiplier for the Stokes velocity field and a scalar multiplier for the Darcy normal velocity component. This specific choice not only allows the natural simulation of heterogeneous porous media, but also naturally satisfies the interface conditions between the Stokes and Darcy domains. The linear system is constructed by condensing the velocity and pressure degrees of freedom at the element level, resulting in a problem solely defined by the scalar/vector multipliers. Furthermore, the global inf–sup stability of the method is supported by theoretical results from the literature. Numerical experiments in two and three dimensions evaluate the method’s accuracy, convergence rates, and robustness across homogeneous and heterogeneous porous media, as well as scenarios involving a spatially varying Beavers–Joseph–Saffman slip coefficient. The results confirm that, compared to hybrid formulations using vector multipliers in both the Stokes and Darcy subdomains, the proposed method achieves comparable or improved accuracy in homogeneous porous media and substantially reduces the number of degrees of freedom. In addition, the results demonstrate that the proposed method effectively handles heterogeneous porous media and maintains stability under spatially varying interface conditions, highlighting its suitability for complex coupled flow simulations.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116879"},"PeriodicalIF":2.1,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144564111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A dynamic mode decomposition-based Kalman filter for Bayesian inverse problem of nonlinear dynamical systems 基于动态模态分解的非线性动力系统贝叶斯反问题卡尔曼滤波

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-05 DOI: 10.1016/j.cam.2025.116880

Yuming Ba , Qiuqi Li , Zhiwen Zhang

{"title":"A dynamic mode decomposition-based Kalman filter for Bayesian inverse problem of nonlinear dynamical systems","authors":"Yuming Ba , Qiuqi Li , Zhiwen Zhang","doi":"10.1016/j.cam.2025.116880","DOIUrl":"10.1016/j.cam.2025.116880","url":null,"abstract":"<div><div>Ensemble Kalman filter (EnKF) method has been widely used in parameter estimation of the dynamic models, which needs to compute the forward model repeatedly. For nonlinear parameterized PDEs, constructing an accurate reduced order model is extremely challenging. To accelerate the posterior exploration efficiently, building surrogates of the forward models is necessary. In this paper, the dynamic mode decomposition (DMD) coupled with the weighted and interpolated nearest-neighbors (wiNN) algorithm is introduced to construct the surrogates for nonlinear dynamical systems. This extends the applicability of DMD to parameterized problems. Moreover, a low rank approximation of Kalman gain is used to EnKF, which can avoid the ensemble degenerate from the singularity of the covariance matrix. Finally, we apply the proposed method to nonlinear parameterized PDEs for the two-dimensional fluid flow and investigate their Bayesian inverse problems. The results are presented to show the applicability and efficiency of the proposed EnKF with DMD-wiNN method by taking account of parameters in nonlinear diffusion functions, nonlinear reaction functions and source functions.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116880"},"PeriodicalIF":2.1,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144587803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Predefined-time robust gradient neural network for solving absolute value equations 求解绝对值方程的预定义时间鲁棒梯度神经网络

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-05 DOI: 10.1016/j.cam.2025.116887

Dongmei Yu , Tiange Ma , Gehao Zhang , Cairong Chen , Deren Han

引用次数: 0

A novel fractional-order model and analysis of cancer-immune system interaction in an avascular environment with an efficient control mechanism 一个新的分数阶模型和分析在无血管环境中癌症-免疫系统相互作用的有效控制机制

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-05 DOI: 10.1016/j.cam.2025.116888

Hardik Joshi , Mehmet Yavuz

{"title":"A novel fractional-order model and analysis of cancer-immune system interaction in an avascular environment with an efficient control mechanism","authors":"Hardik Joshi , Mehmet Yavuz","doi":"10.1016/j.cam.2025.116888","DOIUrl":"10.1016/j.cam.2025.116888","url":null,"abstract":"<div><div>The interaction between cancer and the immune system plays a vital role in tumor development, progression, and treatment, as well as in the advancement of effective cancer therapies. This paper explores the dynamic interaction between immune cells and cancerous cells, highlighting the critical role of the immune system in cancer prevention and treatment. A fractional-order model is developed to examine the influence of T-helper cells, cytotoxic T cells, B cells, and antibodies on cancerous cells. The model is thoroughly analyzed for feasibility and solution positivity. Additionally, the existence and uniqueness criteria, along with possible equilibrium points, are established. Conditions for both local and global asymptotic stability of equilibrium points are derived. Finally, numerical simulations validate the theoretical findings and emphasize key parameters affecting cancerous cell dynamics. The findings demonstrate that cytotoxic T cells and antibodies are vital in targeting and eliminating cancer cells, thereby strengthening the immune response. Additionally, the memory effect inherent in the fractional-order derivative profoundly shapes the system’s dynamics.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116888"},"PeriodicalIF":2.1,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Constructing orthogonal maximin distance uniform projection designs for computer experiments 计算机实验正交最大距离均匀投影设计的构造

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-05 DOI: 10.1016/j.cam.2025.116902

A.M. Elsawah

{"title":"Constructing orthogonal maximin distance uniform projection designs for computer experiments","authors":"A.M. Elsawah","doi":"10.1016/j.cam.2025.116902","DOIUrl":"10.1016/j.cam.2025.116902","url":null,"abstract":"<div><div>There is a significant need for computer experiments to study and model complex physical systems. In both computer and physical experiments, constructing experimental designs with good space-filling and column-orthogonality properties is crucial. While maximin distance designs and uniform designs ensure space-filling in full-dimensional spaces, they lack guarantees for low-dimensional projections. Uniform projection designs address this gap by ensuring space-filling properties in low-dimensional subspaces. Orthogonal designs enable efficient factor screening in Gaussian processes and ensure uncorrelated estimates of main effects in linear models. However, constructing such optimal designs remains challenging. A design that combines these advantages would outperform individual approaches. This paper fills this gap by proposing seven novel theoretical techniques for constructing orthogonal maximin distance uniform projection designs. The proposed designs demonstrate superior performance as the number of factors increases, making them particularly well-suited for surrogate modeling and linear trend estimation in high-dimensional Gaussian processes. Comparative studies show that the proposed techniques outperform existing methods.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116902"},"PeriodicalIF":2.1,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

FEM-implicit/explicit surface mesh discrete schemes for 2D-3C time-dependent shallow shell problem 2D-3C时变浅壳问题的有限元隐/显曲面网格离散格式

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-05 DOI: 10.1016/j.cam.2025.116878

Rongfang Wu , Xiaoqin Shen , Ying Liu , Yumin Cheng

{"title":"FEM-implicit/explicit surface mesh discrete schemes for 2D-3C time-dependent shallow shell problem","authors":"Rongfang Wu , Xiaoqin Shen , Ying Liu , Yumin Cheng","doi":"10.1016/j.cam.2025.116878","DOIUrl":"10.1016/j.cam.2025.116878","url":null,"abstract":"<div><div>In this work, we propose the finite element method (FEM) coupled implicit/explicit time difference schemes for the two-dimensional three-component (2D-3C) shallow shell surface equation, which features the second-order time variable and fourth-order space variable. Concretely, the higher-order spatial variable is discretized by employing a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-conforming element; meanwhile, the existence and uniqueness of semi-discrete solutions for the shallow shell model are analyzed using eigenvalues, and the optimal error estimate is obtained. Then, the time variable is discretized using the Newmark format. We prove that the space–time fully discretization scheme achieves first-order convergence when the parameter <span><math><mrow><mi>γ</mi><mo>≠</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></math></span>. In addition, we adopt the leapfrog format to improve the convergence, which achieves second-order accuracy within small time steps. Finally, numerical experiments are conducted to validate the stability and efficiency of numerical algorithms.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"473 ","pages":"Article 116878"},"PeriodicalIF":2.1,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144587802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An a priori error analysis of a thermoelastic problem with history dependence on the mechanical and thermal components 一个历史依赖于机械和热分量的热弹性问题的先验误差分析

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-05 DOI: 10.1016/j.cam.2025.116883

N. Bazarra , J.R. Fernández , R. Quintanilla

引用次数: 0

Nonlinear quartic quasi-interpolating splines for piecewise smooth function approximation 分段光滑函数逼近的非线性四次拟插值样条

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-04 DOI: 10.1016/j.cam.2025.116890

Francesc Aràndiga , Paola Lamberti , Sara Remogna

引用次数: 0

Non-linear Partition of Unity method 统一的非线性划分方法