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Computing the intersection between two parametric surfaces (SSI) is one of the most fundamental problems in geometric and solid modeling. Maintaining the SSI topology is critical to its computation ro...
In this paper, we investigate the energy minimization model arising in the ensemble Kohn–Sham density functional theory for metallic systems, in which a pseudo-eigenvalue matrix and a general smearing...
Part of the motivation of this paper comes from the recent paper [W. Guo and H.-Z. Zhou, SIAM J. Control Optim., 57 (2019), pp. 1890–1928], where an adaptive control approach was used to estimate in r...
The finite-time stabilization problem is considered for a class of multi-input multi-output nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, pos...
This paper is concerned with both observability and observers for a class of systems described by the two-dimensional hyperbolic PDEs with superlinear boundary conditions which can exhibit chaos. The ...
This article studies input design of kernel-based regularization methods for linear dynamical systems, which has been formulated as a nonconvex optimization problem with the criterion being a scalar m...
In this work, we construct a novel numerical method for solving the multimarginal optimal transport problems with Coulomb cost. This type of optimal transport problem arises in quantum physics and pla...
Advertising becomes one of the most popular ways of monetizing an online transaction platform. Usually, sponsored advertisements are posted on the most attractive positions to enhance the number of cl...
Based on the perfectly matched layer (PML) technique, this paper develops a highly accurate boundary integral equation (BIE) solver for acoustic scattering problems in locally defected layered media i...
This paper is devoted to studying two multiobjective problems for stochastic degenerate parabolic equations. The first one is a hierarchical control problem, in which the controls are classified into ...
In this paper, we prove that the \(L^p(\mathbb {R}^d)\) norm of the maximal truncated Riesz transform in terms of the \(L^p(\mathbb {R}^d)\) norm of Riesz transform is dimension-free for any \(2\le p<...
As a specific type of shape gradient descent algorithm, shape gradient flow is widely used for shape optimization problems constrained by partial differential equations. In this approach, the constrai...
In this paper, we investigate the new two-Lévy-index fractional nonlinear Schr?dinger (FNLS) equations with optical lattices, where two fractional derivative terms are introduced to control the diffra...
Face recognition has always been courted in computer vision and is especially amenable to situations with significant variations between frontal and profile faces. Traditional techniques make great st...
We study the market for a risky asset in which traders are heterogeneous both in terms of their value for the asset and the information that they have about this value. Traders behave strategically an...

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