Computers & Mathematics with Applications最新文献_第2页

Adaptive isogeometric analysis with truncated hierarchical B-splines for nonlinear option pricing problems 非线性期权定价问题的截断层次b样条自适应等几何分析

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-05-01 Epub Date: 2026-02-14 DOI: 10.1016/j.camwa.2026.02.005

Ruo-Xi Yu

引用次数: 0

Stability and error estimate of the second-order Crank–Nicolson leap-frog scheme for the phase field crystal model 相场晶体模型二阶Crank-Nicolson跳蛙格式的稳定性和误差估计

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-05-01 Epub Date: 2026-02-12 DOI: 10.1016/j.camwa.2026.01.042

Xiaozhuang Ma, Lizhen Chen

引用次数: 0

Flux approximation on unfitted meshes and application to multiscale hybrid-mixed methods 非拟合网格的通量逼近及其在多尺度混合混合方法中的应用

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-05-01 Epub Date: 2026-02-13 DOI: 10.1016/j.camwa.2026.01.016

T. Chaumont-Frelet , D. Paredes , F. Valentin

引用次数: 0

A time-dependent inverse source problem for a semilinear pseudo-parabolic equation with Neumann boundary condition 具有Neumann边界条件的半线性伪抛物方程的时变逆源问题

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-04-15 Epub Date: 2026-02-07 DOI: 10.1016/j.camwa.2026.01.038

Karel Van Bockstal , Khonatbek Khompysh

引用次数: 0

Variable step-size IMEX scheme for a partial differential equation with delays and mixed derivative from option pricing under hard-to-borrow model 难借模型下具有时滞和混合导数的期权定价偏微分方程的变步长IMEX格式

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-04-15 Epub Date: 2026-02-11 DOI: 10.1016/j.camwa.2026.02.003

Yong Chen

引用次数: 0

Construction of the polygonal and faceted polyhedral elements with high order completeness based on the scaled boundary coordinates 基于尺度边界坐标的高阶完备性多边形和多面体元的构造

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-04-15 Epub Date: 2026-02-06 DOI: 10.1016/j.camwa.2026.01.035

Ying Zhang , Chong-Jun Li

{"title":"Construction of the polygonal and faceted polyhedral elements with high order completeness based on the scaled boundary coordinates","authors":"Ying Zhang , Chong-Jun Li","doi":"10.1016/j.camwa.2026.01.035","DOIUrl":"10.1016/j.camwa.2026.01.035","url":null,"abstract":"<div><div>An approach for formulating polygonal and polyhedral elements is presented based on the scaled boundary coordinate system, which serves as a core component of the scaled boundary finite element method (SBFEM). Within the scaled boundary coordinate system, an arbitrary bivariate polynomials can be accurately represented as a linear combination of some power functions. Therefore, interpolation basis functions with high-order polynomial completeness over polygonal elements can be constructed using only boundary nodal displacements. To demonstrate the effectiveness of the proposed method, two polygonal elements with the second- and third-order completeness are presented as illustrative examples. Further, a faceted polyhedral element depending only on boundary nodal displacements is also constructed, exhibiting second-order completeness. Different from the classic SBFEM, the shape functions of the 2D and 3D elements are explicitly expressed, and the completeness are independent of the body forces (or without additional bubble functions). Numerical results demonstrate the proposed polygonal elements and faceted polyhedral element have corresponding completeness and convergence.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"208 ","pages":"Pages 80-96"},"PeriodicalIF":2.5,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134767","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

The new inexact bundle-type technique to solve variational inequalities of composite structures 求解复合材料结构变分不等式的非精确束型新方法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-04-15 Epub Date: 2026-02-04 DOI: 10.1016/j.camwa.2026.01.009

Ming Huang , Si Qi Zhang , Xiao Dan Chao , Hong Kai Song , Jin Long Yuan , Suo Suo Yang

{"title":"The new inexact bundle-type technique to solve variational inequalities of composite structures","authors":"Ming Huang , Si Qi Zhang , Xiao Dan Chao , Hong Kai Song , Jin Long Yuan , Suo Suo Yang","doi":"10.1016/j.camwa.2026.01.009","DOIUrl":"10.1016/j.camwa.2026.01.009","url":null,"abstract":"<div><div>In this research, we introduce an innovative composite proximal bundle method aimed at resolving generalized variational inequalities with the integration of inexact oracles. The essence of the problem is distilled into the pursuit of the null space of the superposition of two multivalued operators, all within the realm of a real Hilbert space and underpinned by an optimality criterion. We define the non-differentiable composite convex function and the monotone operator as <em>f</em> and Γ, respectively, both characterized by their roles as subdifferentials of functions that are lower semicontinuous. Central to our methodology is the proximal point approach, which entails the iterative refinement of subproblems through the lens of piecewise linear convex functions, augmented by the incorporation of inexact data. To enhance the computational efficiency and precision, we introduce a novel stopping criterion, designed to evaluate the precision of the current approximation. This innovation is pivotal in streamlining the management of subproblems. Moreover, to safeguard the convergence properties of our algorithm against the potential perturbations induced by inexact data, we have integrated a denoising technique. Subsequent to these enhancements, we demonstrate the convergence of our algorithm under specific operator properties, thereby providing a robust theoretical underpinning for its application. To verify the practical efficacy of our approach, we present the outcomes of our numerical experiments, which affirm the effectiveness of our method in the context of non-smooth optimization.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"208 ","pages":"Pages 55-79"},"PeriodicalIF":2.5,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146116550","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 comprehensive numerical investigation of the application of troubled-cells to finite volume methods using a novel monotonicity parameter 利用一种新的单调性参数对故障单元在有限体积法中的应用进行了全面的数值研究

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-04-15 Epub Date: 2026-02-04 DOI: 10.1016/j.camwa.2026.01.032

R. Shivananda Rao, M. Ramakrishna

{"title":"A comprehensive numerical investigation of the application of troubled-cells to finite volume methods using a novel monotonicity parameter","authors":"R. Shivananda Rao, M. Ramakrishna","doi":"10.1016/j.camwa.2026.01.032","DOIUrl":"10.1016/j.camwa.2026.01.032","url":null,"abstract":"<div><div>In this paper, we adapt a troubled-cell indicator proposed by Fu and Shu [1] for discontinuous Galerkin (DG) methods to finite volume methods (FVM) employing third-order MUSCL reconstruction. We show that limiting only in troubled-cells is advantageous in terms of convergence but at the expense of the overall solution quality. We investigate the optimal number of troubled-cells required in the vicinity of an oblique shock to obtain a solution with minimal oscillations and enhanced convergence using a novel monotonicity parameter. An oblique shock is characterized primarily by the upstream Mach number, the shock angle <em>β</em>, and the deflection angle <em>θ</em>. We study these factors and their combinations by employing two dimensional compressible Euler equations and find that the degree of the shock misalignment with the grid determines the optimal number of troubled-cells. We show that, on each side of the shock, the optimal set consists of three troubled-cells for aligned shocks, and the troubled-cells identified by tracing the shock and four lines parallel to it, separated by the grid spacing, for nonaligned shocks. We show that, for a threshold constant <span><math><mrow><mi>K</mi><mo>=</mo><mn>0.05</mn></mrow></math></span>, the adapted troubled-cell indicator identifies a set of cells that is close to and contains the optimal set of cells, and consequently, produces a solution close to that obtained by limiting everywhere, but with improved convergence. We demonstrate the effectiveness of the adapted troubled-cell indicator for unsteady problems using the double Mach reflection test case.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"208 ","pages":"Pages 1-32"},"PeriodicalIF":2.5,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146116551","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 second-order well-balanced reconstruction for the shallow flows with wet/dry fronts 湿/干锋面浅层流的二阶平衡重建

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-04-15 Epub Date: 2026-02-04 DOI: 10.1016/j.camwa.2026.01.036

Sooncheol Hwang , Patrick J. Lynett , Sangyoung Son

{"title":"A second-order well-balanced reconstruction for the shallow flows with wet/dry fronts","authors":"Sooncheol Hwang , Patrick J. Lynett , Sangyoung Son","doi":"10.1016/j.camwa.2026.01.036","DOIUrl":"10.1016/j.camwa.2026.01.036","url":null,"abstract":"<div><div>In this paper, we develop a two-dimensional, second-order central-upwind scheme based on the finite volume method for the shallow water equations in the presence of wet/dry fronts. The proposed scheme is positivity-preserving and well-balanced, and remains robust for shallow water flows over complex bathymetry and wet-dry interfaces. We extend existing one-dimensional positivity-preserving and well-balanced schemes to two-dimensional spaces, addressing the challenges posed by partially flooded cells with varying bottom gradients in each direction. A novel draining time step for two-dimensional spaces is introduced to ensure the non-negativity of computed water depths across the entire computational domain. The performance of the proposed scheme is validated through several numerical experiments using both analytical solutions and experimental data, demonstrating its accuracy in capturing wet/dry fronts. The results for the lake-at-rest steady-state case confirm that numerical oscillations near the wet/dry fronts are successfully minimized, maintaining the initial state. Moreover, other examples show reduced numerical oscillations during wave run-up and rundown processes, further confirming the performance of the proposed scheme.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"208 ","pages":"Pages 33-54"},"PeriodicalIF":2.5,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146116549","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

Fractional spatio-temporal modeling for enhanced MRI super-resolution from multi-frame data 基于多帧数据增强MRI超分辨率的分式时空建模

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2026-04-15 Epub Date: 2026-02-12 DOI: 10.1016/j.camwa.2026.01.037

Anouar Ben-Loghfyry , Abderrahim Charkaoui , Shengda Zeng

{"title":"Fractional spatio-temporal modeling for enhanced MRI super-resolution from multi-frame data","authors":"Anouar Ben-Loghfyry , Abderrahim Charkaoui , Shengda Zeng","doi":"10.1016/j.camwa.2026.01.037","DOIUrl":"10.1016/j.camwa.2026.01.037","url":null,"abstract":"<div><div>This work presents an innovative spatio-temporal parabolic framework based on fractional calculus, employing both Caputo and Riemann–Liouville derivatives. The primary objective is to enhance traditional super-resolution methods, with a specific focus on multi-frame image reconstruction. The proposed model incorporates a spatially regularized fractional tensor diffusion mechanism that modulates both the magnitude and orientation of diffusion locally across the image domain. Theoretical analysis begins by addressing the model’s well-posedness. Using the Faedo-Galerkin scheme, we first establish the uniqueness and existence of weak solution to an auxiliary problem involving a time-fractional Caputo derivative. Then, leveraging Schauder fixed point theorem, we show the existence of a unique weak solution for our full model. Numerical experiments illustrate the practical capabilities of the approach, showcasing the advantages of fractional order methods in the context of image denoising and super-resolution. Furthermore, tests on real video sequences confirm the model’s robustness and performance in blind reconstruction scenarios. Comparative evaluations with state-of-the-art techniques underline the efficiency of our fractional model in terms of visual quality and detail preservation.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"208 ","pages":"Pages 147-185"},"PeriodicalIF":2.5,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146160706","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