Results in Applied Mathematics最新文献_第6页

A quadratically convergent algorithm for inverse singular value problems with multiple singular values 多奇异值反奇异值问题的二次收敛算法

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-03-04 DOI: 10.1016/j.rinam.2026.100694

Wei Ma, Yuqing Zhu

引用次数: 0

A hybrid numerical method for multi-domain wave propagation problems 多域波传播问题的混合数值方法

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2025-12-17 DOI: 10.1016/j.rinam.2025.100678

Zihui Yan , Xiangran Zheng , Wenzhen Qu , Sheng-Dong Zhao

引用次数: 0

A hybrid meshless collocation approach for capturing solution and gradient jumps in 1D telegraph double-interface model with highly discontinuous coefficients 具有高度不连续系数的一维电报双界面模型解和梯度跳跃的混合无网格配置方法

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-01-31 DOI: 10.1016/j.rinam.2026.100685

Muhammad Asif , Fatima , Muhammad Bilal Riaz , Faisal Bilal

{"title":"A hybrid meshless collocation approach for capturing solution and gradient jumps in 1D telegraph double-interface model with highly discontinuous coefficients","authors":"Muhammad Asif , Fatima , Muhammad Bilal Riaz , Faisal Bilal","doi":"10.1016/j.rinam.2026.100685","DOIUrl":"10.1016/j.rinam.2026.100685","url":null,"abstract":"<div><div>Telegraph interface models accurately predict signal and wave behavior in layered media with multiple boundaries, providing a reliable basis for the design and analysis of electrical, communication, and geophysical systems. This article presents a numerical method for solving the one-dimensional telegraph equation with double interface conditions. The proposed scheme combines radial basis functions for spatial discretization with finite difference approximations in time, forming a unified and flexible computational framework. This hybrid approach is capable of handling both linear and nonlinear problems and can accommodate constant as well as variable coefficients. Linear algebraic systems arising from the discretization are solved using Gaussian elimination, while nonlinear problems are treated through a quasi-Newton linearization technique. The accuracy and efficiency of the method are evaluated by computing the maximum absolute error and the root mean square error for different spatial grid sizes and time step values. Numerical results confirm that the proposed scheme is easy to implement, exhibits fast convergence, and achieves high accuracy across a range of test problems. Therefore, the method provides a reliable and efficient computational tool for solving telegraph equations with interface discontinuities.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"29 ","pages":"Article 100685"},"PeriodicalIF":1.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147395641","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

Optimal second order covariant derivatives on associated bundles — Application to color image restoration 关联束的最优二阶协变导数。在彩色图像恢复中的应用

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-01-06 DOI: 10.1016/j.rinam.2025.100680

Thomas Batard

{"title":"Optimal second order covariant derivatives on associated bundles — Application to color image restoration","authors":"Thomas Batard","doi":"10.1016/j.rinam.2025.100680","DOIUrl":"10.1016/j.rinam.2025.100680","url":null,"abstract":"<div><div>This paper deals with the application of a geometric setting widely employed in theoretical physics, namely the fiber bundles, to color image restoration. The key idea of this approach is to model an image as a function on a principal bundle satisfying an equivariance property with respect to the action of a Lie group acting on its pixel values, and which can model the lighting changes in a scene. In this context, a natural tool for the differentiation of an image is by means of a covariant derivative. In previous works, optimal covariant derivatives have been constructed as solutions of a variational model consisting of the minimization of the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> norm of the covariant derivative of the image, and applied to various tasks in color image restoration through the extension of the Total Variation regularizer to vector bundles. The aim of this paper is to extend these works by constructing optimal second order covariant derivatives as solutions of the minimization of the norm of the second order covariant derivative of the image. Experiments on deblurring and super-resolution corroborate the relevance of the proposed model for color image restoration. More generally, this paper validates the use of the geometric setting of fiber bundles in imaging sciences.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"29 ","pages":"Article 100680"},"PeriodicalIF":1.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145939039","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 hybrid MPWENO scheme with enhanced accuracy and robustness for the compressible Euler equations 一种提高精度和鲁棒性的混合MPWENO可压缩欧拉方程解

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2025-12-17 DOI: 10.1016/j.rinam.2025.100674

Yalin Tang , Mingjun Li , Shujiang Tang

{"title":"A hybrid MPWENO scheme with enhanced accuracy and robustness for the compressible Euler equations","authors":"Yalin Tang , Mingjun Li , Shujiang Tang","doi":"10.1016/j.rinam.2025.100674","DOIUrl":"10.1016/j.rinam.2025.100674","url":null,"abstract":"<div><div>In this study, we develop a hybrid high-order monotonicity-preserving Weighted Essentially Non-Oscillatory (MPWENO) finite difference discretization for the compressible Euler equations. The key innovation of this scheme lies in optimizing the numerical flux through the mixed smooth indicator to reduce the numerical oscillations caused by scheme conversion, and adjusting the reference value to modify the MP limiter, thereby enabling the scheme to achieve the required numerical accuracy while maintaining monotonicity. The novelty of this work lies in systematically adjusting the numerical fluxes by using the mixed smooth indicator to distinguish between discontinuities and extrema and improving the accuracy of the reference value to change the MP limiter, which is different from other MP schemes. The proposed method improves the accuracy at the extreme points, exhibits outstanding robustness and excellent resolution, making it particularly suitable for solving complex problems in compressible Euler equations. Moreover, it is easy to implement and applicable to multi-dimensional problems, with significant practical advantages. Numerical results show that this method has high accuracy, strong robustness, and high resolution. These findings highlight the effectiveness and reliability of this method in handling complex compressible flow simulations.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"29 ","pages":"Article 100674"},"PeriodicalIF":1.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145798442","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

Machine-precision solution of Fredholm integral equations via barycentric physics-informed method 用质心物理方法求解Fredholm积分方程的机器精度

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-02-26 DOI: 10.1016/j.rinam.2026.100689

Qinghua Wu

引用次数: 0

A quantum graph FFT with applications to partial differential equations on networks 量子图FFT及其在网络偏微分方程中的应用

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-01-06 DOI: 10.1016/j.rinam.2025.100670

Robert Carlson

引用次数: 0

Multivariate spatial conditional quantiles on hyperspheres in the presence of measurement error 存在测量误差的超球上的多变量空间条件分位数

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-02-20 DOI: 10.1016/j.rinam.2026.100690

Nourelhouda Taachouche, Salim Bouzebda

{"title":"Multivariate spatial conditional quantiles on hyperspheres in the presence of measurement error","authors":"Nourelhouda Taachouche, Salim Bouzebda","doi":"10.1016/j.rinam.2026.100690","DOIUrl":"10.1016/j.rinam.2026.100690","url":null,"abstract":"<div><div>Quantiles constitute a fundamental construct in probability theory and mathematical statistics, serving as an indispensable tool across a wide spectrum of applications. While the univariate concept of quantiles is both intuitively transparent and mathematically well established, its extension to the multivariate domain presents profound theoretical and methodological challenges. Among the prominent approaches to multivariate quantiles, the spatial (or geometric) framework has emerged as a particularly powerful paradigm. Its empirical counterparts not only demonstrate notable robustness but also admit an elegant Bahadur–Kiefer-type representation, thereby bridging classical theory with modern inference. In this work, we develop a comprehensive theory of conditional spatial quantiles for data residing on a general unit hypersphere and subject to measurement errors—a setting that frequently arises in contemporary statistical applications. We introduce a novel deconvolution methodology for conditional spatial quantiles and provide, for the first time, a rigorous analysis of its convergence rate and asymptotic distribution. Our unified treatment establishes broad asymptotic properties under minimal structural assumptions, thereby offering a flexible and theoretically sound foundation for quantile-based inference in high-dimensional and error-contaminated environments. The theoretical developments are further substantiated through a Monte Carlo investigation designed to elucidate the finite-sample behaviour of the proposed methodology. These simulations systematically assess empirical convergence rates, quantify the impact of spectral truncation, and evaluate the stability and efficiency of the estimator. In addition, the methodology is illustrated on a real-data example, providing an empirical validation of its applicability in realistic measurement-error settings and demonstrating the operational relevance of the theoretical results beyond the asymptotic framework.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"29 ","pages":"Article 100690"},"PeriodicalIF":1.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147395643","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

General conservative sixth- and eighth-order compact finite difference schemes for the N-coupled Schrödinger-Boussinesq equations n -耦合Schrödinger-Boussinesq方程的一般保守六阶和八阶紧致有限差分格式

IF 1.3

Results in Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2025-12-06 DOI: 10.1016/j.rinam.2025.100677

Jiadong Qiu , Xiang Liu , Feng Liao

{"title":"General conservative sixth- and eighth-order compact finite difference schemes for the N-coupled Schrödinger-Boussinesq equations","authors":"Jiadong Qiu , Xiang Liu , Feng Liao","doi":"10.1016/j.rinam.2025.100677","DOIUrl":"10.1016/j.rinam.2025.100677","url":null,"abstract":"<div><div>In this paper, general conservative sixth- and eighth-order compact finite difference schemes are presented to solve the N-coupled nonlinear Schrödinger-Boussinesq equations numerically. The existence of the difference solution is proved by fixed-point theorem. By utilizing the discrete energy methods, the proposed difference schemes are proved to be unconditionally convergent at the order <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow><mi>h</mi></mrow><mrow><mn>8</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span> with mesh-size <span><math><mi>h</mi></math></span> and time step <span><math><mi>τ</mi></math></span> in the discrete <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span>-norm. By using the Yoshida’s composition method, we improve the scheme <span><span>(3.1)</span></span>-<span><span>(3.3)</span></span> with a group of given time-step increments repeatedly and then obtain a temporal fourth-order difference scheme. Numerical experiments confirm the theoretical results and verify the accuracy and efficiency of our method.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"29 ","pages":"Article 100677"},"PeriodicalIF":1.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693047","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

Fractional logistic growth with memory effects: A tool for industry-oriented modeling 具有记忆效应的分式逻辑增长：面向行业的建模工具

IF 1.3

Results in Applied Mathematics Pub Date : 2025-11-01 Epub Date: 2025-09-27 DOI: 10.1016/j.rinam.2025.100647

M.O. Aibinu , A. Shoukat , F.M. Mahomed

引用次数: 0