Latest

• Construction and analysis for orthonormalized Runge-Kutta schemes of high-index saddle dynamics
• A diffuse-interface Landau-de Gennes model for free-boundary problems in the theory of nematic liquid crystals
• Construction and analysis for Adams explicit discretization of high-index saddle dynamics
• UNDERSTANDING HIGH-INDEX SADDLE DYNAMICS VIA NUMERICAL ANALYSIS
• Nucleation and phase transition of decagonal quasicrystals
• Semi-implicit method of high-index saddle dynamics and application to construct solution landscape
• A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape
• Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere
• Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics
• Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions
• Probabilistic error estimate for numerical discretization of high-index saddle dynamics with inaccurate models
• Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm
• Error estimates for euler discretization of high-index saddle dynamics
• Solution Landscape of the Onsager Model Identifies Non-axisymmetric Critical Points
• Modeling and Computation of Liquid Crystals
• Solution landscape of a reduced Landau–de Gennes model on a hexagon
• Transition pathways connecting crystals and quasicrystals
• Construction of a Pathway Map on a Complicated Energy Landscape
• Transition pathways between defect patterns in confined nematic liquid crystals