I. Introduction

II. Conceptual Foundations: From Agent-Based Modeling to Computational Experiments
A. Development of Agent Modeling: A Brief History  
B. From Agent to Agent Society  
C. The Emergence of Computational Experiments  

III. LLM-Based Agent for Computational Experiments
B. Enhancement in Artificial Society  
C. Application Cases  

IV. Computational Experiments for LLM-Based Agent
A. Explainability Enhancement for LLM-based Agent  
B. Decision Intelligence for applications of LLM-based Agent  
C. Application Cases  

V. Discussion
A. How to adapt LLM-based Agent to simulation scenarios?  
B. How to construct Parallel Society for the combination of LLM-based Agent and Computational Experiments?  
C. How to implement invoking computational experiments for LLM-based Agent?  

VI. Conclusion