Mathematical Modeling in Physical Sciences

Proceedings of the International Conference on Applied Mathematics 2022

Edited by: Priya Nair · Yuki Tanaka

ISBN: 978-1-83568-089-6 DOI: 10.12345/amse.mmps.2022 Published: November 2022

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Papers

Type

Conference Proceeding

ISBN

978-1-83568-089-6

DOI

10.12345/amse.mmps.2022

Published

Nov 2022

About this Book

This conference proceeding captures the most significant contributions presented at ICAM 2022. Topics include partial differential equations, stochastic modeling, fluid mechanics, and mathematical biology. The volume represents cutting-edge interdisciplinary research from over 30 countries.

Editors

Priya Nair · Indian Institute of Technology Bombay
Yuki Tanaka · Kyoto University, Graduate School of Science

Publication Details

Series: Advances in Mathematics and Scientific Engineering
Type: Conference Proceeding
ISBN: 978-1-83568-089-6
DOI: 10.12345/amse.mmps.2022
Year: 2022
Published: 01 Nov 2022

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01 stochastic differential equations Black-Scholes financial mathematics

Stochastic Differential Equations in Financial Mathematics

Amara Patel*, Sunita Krishnan * corresponding author

This paper reviews stochastic differential equations (SDEs) and their applications in financial modeling. We examine the Black-Scholes framework, Heston stochastic volatility model, and jump-diffusion processes. Numerical methods for SDE simulation including Euler-Maruyama, Milstein, and Runge-Kutta schemes are analyzed with convergence guarantees.

Abstract This paper reviews stochastic differential equations (SDEs) and their applications in financial modeling. We examine the Black-Scholes framework, Heston stochastic volatility model, and jump-diffusion processes. Numerical methods for SDE simulation including Euler-Maruyama, Milstein, and Runge-Kutta schemes are analyzed with convergence guarantees.

02 epidemic modeling SIR model network epidemiology

Mathematical Models for Epidemic Spread: From SIR to Network-Based Approaches

Sofia Petrova*, Igor Morozov * corresponding author

We develop and analyze mathematical models for the spread of infectious diseases. Starting from classical compartmental models (SIR, SEIR), we extend to network-based epidemic models that incorporate heterogeneous contact patterns. Stability analysis, threshold theorems, and parameter estimation from COVID-19 data are presented.

Abstract We develop and analyze mathematical models for the spread of infectious diseases. Starting from classical compartmental models (SIR, SEIR), we extend to network-based epidemic models that incorporate heterogeneous contact patterns. Stability analysis, threshold theorems, and parameter estimation from COVID-19 data are presented.

Book Information

Series: Advances in Mathematics and Scientific Engineering
Type: Conference Proceeding
ISBN: 978-1-83568-089-6
DOI: 10.12345/amse.mmps.2022
Year: 2022
Published: 01 Nov 2022
Papers: 2
Language: English

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