Lei Zhang

Orcid: 0000-0001-9972-2051

Affiliations:
  • Peking University, Center for Quantitative Biology / Beijing International Center for Mathematical Research, Beijing, China


According to our database1, Lei Zhang authored at least 22 papers between 2014 and 2023.

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Bibliography

2023
Spectral deferred correction method for Landau-Brazovskii model with convex splitting technique.
J. Comput. Phys., October, 2023

Comparison between phase-field model and coarse-grained model for characterizing cell-resolved morphological and mechanical properties in a multicellular system.
Commun. Nonlinear Sci. Numer. Simul., 2023

2022
Error Estimates for Euler Discretization of High-Index Saddle Dynamics.
SIAM J. Numer. Anal., October, 2022

Convergence Analysis of Discrete High-Index Saddle Dynamics.
SIAM J. Numer. Anal., October, 2022

Nematic Liquid Crystals in a Rectangular Confinement: Solution Landscape, and Bifurcation.
SIAM J. Appl. Math., 2022

Computable early Caenorhabditis elegans embryo with a phase field model.
PLoS Comput. Biol., 2022

Constrained High-Index Saddle Dynamics for the Solution Landscape with Equality Constraints.
J. Sci. Comput., 2022

Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm.
J. Comput. Phys., 2022

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape.
CoRR, 2022

Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions.
CoRR, 2022

Discretization and index-robust error analysis for constrained high-index saddle dynamics on high-dimensional sphere.
CoRR, 2022

2021
Modelling and computation of liquid crystals.
Acta Numer., May, 2021

Optimal-order error estimates for Euler discretization of high-index saddle dynamics.
CoRR, 2021

Solution landscape of Onsager functional identifies non-axisymmetric critical points.
CoRR, 2021

Modeling and Computation of Liquid Crystals.
CoRR, 2021

2020
Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films.
SIAM J. Appl. Math., 2020

2019
High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points.
SIAM J. Sci. Comput., 2019

Transition pathways between defect patterns in confined nematic liquid crystals.
J. Comput. Phys., 2019

2018
Modeling craniofacial development reveals spatiotemporal constraints on robust patterning of the mandibular arch.
PLoS Comput. Biol., 2018

Nanog induced intermediate state in regulating stem cell differentiation and reprogramming.
BMC Syst. Biol., 2018

Landscape reveals critical network structures for sharpening gene expression boundaries.
BMC Syst. Biol., 2018

2014
Array-representation integration factor method for high-dimensional systems.
J. Comput. Phys., 2014


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