1,302 Result(s)
within
**-**a Ding
Mathematics
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Article
Existence, uniqueness and stability for a nonlinear problem arising from stratified arctic gyres
In this paper, we derive a nonlinear model for stratified arctic gyres, and prove several results on the existence, uniqueness and stability of solutions to such a model, by assuming suitable conditions for th...
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Article
Improved randomized approaches to the location of a conservative hyperplane
This paper presents improved approaches to the treatment of combinatorial challenges associated with the search process for conservative cuts arising in disjoint bilinear programming. We introduce a new random...
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Article
Continuity properties of multi-parameter pseudodifferential operators on Bony class
It is well-known that the pseudodifferential operator with the symbol in Bony class, a subset of \(S_{1,1}^0(\mathbb R^n)\) ...
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Article
Strong Limit Theorems for Weighted Sums under the Sub-linear Expectations
In this article, we study strong limit theorems for weighted sums of extended negatively dependent random variables under the sub-linear expectations. We establish general strong law and complete convergence t...
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Article
Invariance of Iterated Global Differential Operator for Slice Monogenic Functions
In this article, we present the symmetry group of a global slice Dirac operator and its iterated ones. Further, the explicit forms of intertwining operators of the iterated global slice Dirac operator are give...
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Article
Enhancing the Convergence of the Multigrid-Reduction-in-Time Method for the Euler and Navier–Stokes Equations
Excessive spatial parallelization can introduce a performance bottleneck due to the communication overhead. While time-parallel method multigrid-reduction-in-time (MGRIT) provides an alternative to enhance con...
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Article
Open AccessStratified ocean gyres with Stuart-type vortices
In the setting of the thin-shell approximation of the Euler equations in spherical coordinates for oceanic flows with variable density on the spinning Earth, we study a vorticity equation for a pseudo stream f...
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On Three Problems of Y.–G. Chen
In this short note, we answer two questions of Chen and Ruzsa negatively and answer a question of Ma and Chen affirmatively.
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Article
The Non-inclusion Diagnosability of Hypercubes Under the PMC Model
Diagnosability of a multiprocessor system is an important measure of the reliability of interconnection networks. System-level diagnosis is a primary strategy to identify the faulty processors in a multiproces...
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Article
A generalization of Banach’s lemma and its applications to perturbations of bounded linear operators
Let X be a Banach space and let P: X → X be a bounded linear operator. Using an algebraic inequality on the spectrum of P, we give a new sufficient condition that guarantees the existence of (I–P)−1 as a bounded ...
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Article
Subexponential-Time Algorithms for Sparse PCA
We study the computational cost of recovering a unit-norm sparse principal component \(x \in \mathbb {R}^n\) ...
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Article
Optimal Claim-Dependent Proportional Reinsurance Under a Self-Exciting Claim Model
This paper investigates an optimal reinsurance problem for an insurance company with self-exciting claims, where the insurer’s historical claims affect the claim intensity itself. We focus on a claim-dependent...
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Article
Sharp Interface Limit for the One-dimensional Compressible Navier-Stokes/Allen-Cahn System with Composite Waves
This paper is concerned with the sharp interface limit of Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system with a composite wave consisting of the superposition of a rarefact...
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Article
Open AccessA vertical track nonlinear energy sink
Eliminating the effects of gravity and designing nonlinear energy sinks (NESs) that suppress vibration in the vertical direction is a challenging task with numerous dam** requirements. In this paper, the dyn...
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Article
Second Order Unconditionally Convergent Fully Discrete Scheme for Incompressible Vector Potential MHD System
In this paper, we present and analyze a second order unconditionally convergent mixed finite element method for solving incompressible magnetohydrodynamic problem based on magnetic vector potential. We utilize...
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Continuity of Multi-parameter Paraproduct
To study the boundedness of operators on multi-parameter local Hardy space \(h^{p}({\mathbb {R}}^{n_{1}}\times {\mathbb {R}}^{n_{2}})\) ...
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Article
Jacobi method for dual quaternion Hermitian eigenvalue problems and applications
Eigenvalue decomposition of quaternion Hermitian matrices is a crucial mathematical tool for color image reconstruction and recognition. Quaternion Jacobi method is one of the classical methods to compute the ...
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Article
Inferring Stochastic Rates from Heterogeneous Snapshots of Particle Positions
Many imaging techniques for biological systems—like fixation of cells coupled with fluorescence microscopy—provide sharp spatial resolution in reporting locations of individuals at a single moment in time but ...
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Article
Perturbation Analysis on T-Eigenvalues of Third-Order Tensors
This paper concentrates on perturbation theory concerning the tensor T-eigenvalues within the framework of tensor-tensor multiplication. Notably, it serves as a cornerstone for the extension of semidefinite pr...
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Article
Normalized Solutions to Schrödinger Equations with Critical Exponent and Mixed Nonlocal Nonlinearities
We study the existence and nonexistence of normalized solutions \((u_a, \lambda _a)\in H^{1}(\mathbb {R}^N)\times \mathbb {R}\) ...
