Preprints 2018 – Institute of Mathematical Research

Numerical Analysis Seminar – Reduced-Order Models in Computational Science and Engineering: fundamentals and applications

Analysis and PDE Seminar – Regular solutions to Lp Minkowski problem

Number Theory Seminar – Sum product phenomenon and super approximation

Numerical Analysis Seminar – Physics-informed neural networks for multiscale hyperbolic models for the spatial spread of infectious diseases

Optimization and Machine Learning Seminar – Lyapunov Stability of the Subgradient Method with Constant Step Size

Numerical Analysis Seminar – A New Framework for Solving Dynamical Systems

Numerical Analysis Seminar – Dynamical Low Rank approximation of random time dependent problems

Analysis and PDE Seminar – On Liouville-type theorems for the stationary MHD equations

Numerical Analysis Seminar – A Stochastic Neural Network for uncertainty quantification of deep neural networks

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

Ma, D. & Zhang, Z. (with Chen, 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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Ax-Schanuel for Shimura Varieties

Mok, N. (with Pila, J. & Tsimerman, J.)
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Densities, Matchings, and Fractional Edge-Colorings

Zang, W. (with Chen, X. & Zhao, Q.)
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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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Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients

Ma, D., Ching, W.-K. & Zhang, Z.
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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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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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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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Feedback Capacity of Stationary Gaussian Channels Further Examined

Liu, T. & Han, G.
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An Optimization Approach to the Langberg-Médard Multiple Unicast Conjecture

Cai, K. & Han, G.
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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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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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Counterexample to the Vector Generalization of Costa’s EPI, and Partial Resolution

Han, G. (with Courtade, T.A. & Wu, Y.)
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An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations

Zhang, Z. (with Chunga, E.T. & Puna, S.-M.)
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A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates

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