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  1. Influence of uncertain coriolis parameter on wave solution of Korteweg-de Vries equation

    This article examines the approximate solution of the Geophysical Korteweg-de Vries (GKdV) equation in a fuzzy environment. The Adomian decomposition...

    Mrutyunjaya Sahoo, S. Chakraverty in GEM - International Journal on Geomathematics
    Article 12 July 2024
  2. Pairwise ranking with Gaussian kernel

    Regularized pairwise ranking with Gaussian kernels is one of the cutting-edge learning algorithms. Despite a wide range of applications, a rigorous...

    Guanhang Lei, Lei Shi in Advances in Computational Mathematics
    Article 10 July 2024
  3. H3N3 Approximate Formulae for Typical Fractional Derivatives

    The existing numerical approximation formulae for two kinds of typical fractional derivatives—the exponential Caputo and Caputo-Hadamard derivatives...

    Enyu Fan, Yaxuan Li, Qianlan Zhao in Communications on Applied Mathematics and Computation
    Article 09 July 2024
  4. Topological phase estimation method for reparameterized periodic functions

    We consider a signal composed of several periods of a periodic function, of which we observe a noisy reparametrization. The phase estimation problem...

    Thomas Bonis, Frédéric Chazal, ... Wojciech Reise in Advances in Computational Mathematics
    Article 08 July 2024
  5. An adaptive finite element DtN method for the acoustic-elastic interaction problem

    Consider the scattering of a time-harmonic acoustic incident wave by a bounded, penetrable and isotropic elastic solid, which is immersed in a...

    Lei Lin, Junliang Lv, Shuxin Li in Advances in Computational Mathematics
    Article 08 July 2024
  6. Tensor Robust Principal Component Analysis via Non-convex Low-Rank Approximation Based on the Laplace Function

    Recently, the tensor robust principal component analysis (TRPCA), aiming to recover the true low-rank tensor from noisy data, has attracted...

    Hai-Fei Zeng, **ao-Fei Peng, Wen Li in Communications on Applied Mathematics and Computation
    Article 08 July 2024
  7. Estimates for coefficients in Jacobi series for functions with limited regularity by fractional calculus

    In this paper, optimal estimates on the decaying rates of Jacobi expansion coefficients are obtained by fractional calculus for functions with...

    Guidong Liu, Wenjie Liu, Bei** Duan in Advances in Computational Mathematics
    Article 08 July 2024
  8. Optimal Lot Size and Backordered Quantity Under Carbon Tax

    Researchers and industry are working together to develop low carbon inventory models that comply with carbon pricing regulations while maintaining...

    Article 05 July 2024
  9. An Investigation of the Influence of Time Evolution on the Solution Structure Using Hyperbolic Trigonometric Function Methods

    In attempting to mathematically create traveling wave solutions to the (2+1)-dimensional integro-differential Jaulent–Miodek equation, the extended...

    Adnan Ahmad Mahmud, Tanfer Tanriverdi, ... Haci Mehmet Baskonus in International Journal of Applied and Computational Mathematics
    Article 05 July 2024
  10. Particle Swarm Optimization Numerical Simulation with Exponential Modified cubic B-Spline DQM

    Optimization techniques refer to a collection of mathematical algorithms and methodologies used to discover the best possible solutions for specific...

    Article 04 July 2024
  11. Further analysis of multilevel Stein variational gradient descent with an application to the Bayesian inference of glacier ice models

    Multilevel Stein variational gradient descent is a method for particle-based variational inference that leverages hierarchies of surrogate target...

    Terrence Alsup, Tucker Hartland, ... Noemi Petra in Advances in Computational Mathematics
    Article 03 July 2024
  12. On an accurate numerical integration for the triangular and tetrahedral spectral finite elements

    In the triangular/tetrahedral spectral finite elements, we apply a bilinear/trilinear transformation to map a reference square/cube to a...

    Ziqing **e, Shangyou Zhang in Advances in Computational Mathematics
    Article 03 July 2024
  13. An adaptive time-step** Fourier pseudo-spectral method for the Zakharov-Rubenchik equation

    An adaptive time-step** scheme is developed for the Zakharov-Rubenchik system to resolve the multiple time scales accurately and to improve the...

    Bingquan Ji, Xuanxuan Zhou in Advances in Computational Mathematics
    Article 03 July 2024
  14. Well-Posedness for the Stochastic Landau–Lifshitz–Bloch Equation with Helicity Driven by Jump Noise

    The Landau–Lifshitz–Bloch (LLB) equation is used to model the phenomenon of ferromagnetism for temperatures both below and above the Curie...

    Article 03 July 2024
  15. Infrared and Visible Image Fusion Using Multi-scale Decomposition and Partial Differential Equations

    Infrared and visible image fusion is an important task in many applications, such as surveillance, remote sensing, and medical imaging. This paper...

    Article 02 July 2024
  16. Preface

    W. Boscheri, F. Chinesta, ... C.-W. Shu in Communications on Applied Mathematics and Computation
    Article 02 July 2024
  17. Convergence of projected subgradient method with sparse or low-rank constraints

    Many problems in data science can be treated as recovering structural signals from a set of linear measurements, sometimes perturbed by dense noise...

    Hang Xu, Song Li, Junhong Lin in Advances in Computational Mathematics
    Article 02 July 2024
  18. The magnitude vector of images

    The magnitude of a finite metric space has recently emerged as a novel invariant quantity, allowing to measure the effective size of a metric space....

    Michael F. Adamer, Edward De Brouwer, ... Bastian Rieck in Journal of Applied and Computational Topology
    Article Open access 02 July 2024
  19. An Augmented Two-Scale Finite Element Method for Eigenvalue Problems

    In this paper, an augmented two-scale finite element method is proposed for a class of linear and nonlinear eigenvalue problems on tensor-product...

    **aoying Dai, Yunyun Du, ... Aihui Zhou in Communications on Applied Mathematics and Computation
    Article 02 July 2024
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