Ng, T.W. (with Chiu, K.C.T.)

# Preprints

## A data-driven approach for multiscale elliptic PDEs with random coeﬃcients based on intrinsic dimension reduction

Li, S. & Zhang, Z. (with Zhao, H.)

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## A multiscale reduced basis method for Schrödinger equation with multiscale and random potentials

Ma, D. & Zhang, Z. (with Chen, J.)

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## Convergence of stochastic structure-preserving schemes for computing eﬀective diﬀusivity in random ﬂows

Lyu, J., Wang, Z. & Zhang, Z. (with Xin, J.)

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## Rigidity of certain admissible pairs of rational homogeneous spaces of Picard number 1 which are not of the subdiagram type

Mok, N.

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## Proof of the Goldberg-Seymour Conjecture on Edge-Colorings of Multigraphs

Zang, W. (with Chen, G. & Jing, G.)

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## Solving high-dimensional nonlinear filtering problems using a tensor train decomposition method

Li, S., Wang, Z. & Zhang, Z. (with Yau, S.S.T.)

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## Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets

Chan, S.-T. & Mok, N.

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## An efficient numerical method for uncertainty quantification in cardiology models

Zhang, Z. (with Gao, X. & Ying, W.)

[PDF]

## Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients

Ma, D., Ching, W.-K. & Zhang, Z.

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## Sharp uniform in time error estimate on a stochastic structure-preserving Lagrangian method and computation of effective diffusivity in 3D chaotic flows

Zhang, Z. & Wang, Z. (with Xin, J.)

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## Densities, Matchings, and Fractional Edge-Colorings

Zang, W. (with Chen, X. & Zhao, Q.)

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## Ax-Schanuel for Shimura Varieties

Mok, N. (with Pila, J. & Tsimerman, J.)

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## An efficient model reduction method for solving viscous G-equations in incompressible cellular flows

Zhang, Z. (with Gua, H. & Xinb, J.)

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## A multiscale finite element method for the Schrödinger equation with multiscale potentials

Ma, D. & Zhang, Z. (with Chen, J.)

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## A mesh-free method for interface problems using the deep learning approach

Wang, Z. & Zhang, Z

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## Estimation of exciton diffusion lengths of organic semiconductors in random domains

Zhang, Z. (with Chen, J., Lin, L. & Zhou, X.)

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## An Optimization Approach to the Langberg-Médard Multiple Unicast Conjecture

Cai, K. & Han, G.

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## Computing effective diffusivity of chaotic and stochastic flows using structure preserving schemes

Zhang, Z. (with Wang, Z. & Xin, J.)

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## A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach

Zhang, Z. & Ma, D. (with Hou, T.Y.)

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## Some results on optimal stopping problems for one-dimensional regular diffusions

Huang, D. & Song, J.

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## Cluster-based Generalized Multiscale Finite Element Method for elliptic PDEs with random coefficients

Zhang, Z. (with Chung, E.T., Efendiev, Y. & Leung, W.T.)

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## Statistics of Hecke Eigenvalues for *GL*(*n*)

Lau, Y.-K., Ng, M.H. (with Wang, Y.)

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## Asymptotic total geodesy of local holomorphic curves on a bounded symmetric domain in its Harish-Chandra realization exiting the boundary

Mok, N. (with Chan, S.-T.)

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## Absolute Values of *L*-Functions for *GL*(*N*, $Bbb R$) at the Point 1

Lau, Y.-K (with Wang, Y.)

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## Feedback Capacity of Stationary Gaussian Channels Further Examined

Liu, T. & Han, G.

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## Nonlinear Loewy Factorizable Algebraic Odes and Hayman’s Conjecture

Ng, T.W. (with Wu, C.F.)

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## Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension

Wang, Z. & Zhang, Z. (with Luo, X. & Yau, S.S.-T.)

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## Generalized Bonnet surfaces and Lax pairs of P_{VI}

Conte, R.

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## A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates

Zhang, Z. (with Rosakis, P., Hou, T.Y. & Ravichandran, G.)

[PDF]