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Neural and spectral operator surrogates: unified construction and expression rate bounds
Approximation rates are analyzed for deep surrogates of maps between infinite-dimensional function spaces, arising, e.g., as data-to-solution maps of...
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Finding roots of complex analytic functions via generalized colleague matrices
We present a scheme for finding all roots of an analytic function in a square domain in the complex plane. The scheme can be viewed as a...
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Numerical analysis of a time discretized method for nonlinear filtering problem with Lévy process observations
In this paper, we consider a nonlinear filtering model with observations driven by correlated Wiener processes and point processes. We first derive a...
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Principal Algebra, Invariant Solutions and Representations for Optimal Systems of the Burgers–Huxley Equation
This manuscript is committed to the investigation of search reduction methodologies, identification and analysis of invariant solutions, and...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...