Stochastic Processes

Theoretical Advances and Applications in Complex Systems

Don Kulasiri

• Publisher: IntechOpen
• Year: 2024
• Print ISBN:
  9781837695508
• eBook ISBN:
  9781837695492
• Topic: Mathematics
• Index: Mathematics

This book contains chapters on stochastic processes in both theory and practice in wide-ranging contextual settings. Most chapters describe details of stochastic models that are useful to understand the application of mathematical theories that make us understand the complexities in-depth and also would enrich the advancement of theories themselves. Readers are encouraged to pursue the references contained in the chapters they are interested in for further study. The authors are leading mathematicians and scientists in their own specialties. What emanates in this book is the nature of complex systems themselves, which are described using various aspects of stochastic processes. The topic covers applications of stochastic ordinary and partial differential equations to Markov processes and variations within these areas.

Table of contents

• Stochastic Processes - Theoretical Advances and Applications in Complex Systems
• Contents
• Preface
• Chapter1 Introductory Chapter: Stochastic Processes – Theoretical Advances and Applications in Complex Systems
• Chapter2 Numerical Methods in Python for Solving Systems of Stochastic Differential Equations: An Application to the SIRD Model in Latin America
• Chapter3 Perspective Chapter: Numerical Solutions for Modelling Complex Systems with Stochastic Differential and Partial Differential Equations (SDEs/SPDEs)
• Chapter4 Some Remarks onVector Markov Chains and Their Applications to the Description of Many-Particle Systems
• Chapter5 Brownian Computing and Its Similarities with Our Brains
• Chapter6 Martingales and Partial Differential Equations PriceValuation Models for European Put Options
• Chapter7 Optimal Stochastic H Controller Synthesis via LQR Theory