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• 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