Li, S. and Zhang, Z (with Chen, J.)
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Preprints
A class of robust numerical methods for solving dynamical systems with multiple time scales
Zhang, Z. & Wang, Z. (with Hou, T.Y.)
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Ax-Schanuel Type Theorems on Functional Transcendence via Nevanlinna Theory
Huang, J. & Ng, T.W.
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Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one
Mok, N. (with Hong, J.)
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Hyberbolic Belyi maps and Shabat-Blaschke products
Ng, T.W. (with Chiu, K.C.T.)
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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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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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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.)
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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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Counterexample to the Vector Generalization of Costa’s EPI, and Partial Resolution
Han, G. (with Courtade, T.A. & Wu, Y.)
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Computing eigenvalues and eigenfunctions of Schrödinger equations using a model reduction approach
Zhang, Z. (with Li, S.)
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Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise
Song, J. (with Balan, R.M. & Quer-Sardanyons, L.)
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Two-Parameter Asymptotic Expansions for Elliptic Equations with Small Geometric Perturbation and High Contrast Ratio
Zhang, Z. (with Chen, J., Lin, L. & Zhou, X.)
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Some Recent Results on Holomorphic Isometries of the Complex Unit Ball into Bounded Symmetric Domains and Related Problems
Mok, N.
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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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