Convergence criteria for iterative formats in high-dimensional optimisation problems discretised from mathematical partial differential equation

Key Points

• The study aims to establish convergence criteria for iterative formats applicable to high-dimensional optimisation problems derived from partial differential equations.
• Developed iterative formats for high-dimensional optimisation problems.
• Analyzed the convergence features of these formats.
• Applied mathematical models based on partial differential equations.
• Validated convergence criteria under specific conditions.
• Demonstrated improved performance over existing optimisation methods.
• Identified key parameters influencing convergence in high-dimensional contexts.

Abstract