Stochastic Differential Equations for Chemical Transformations in White Noise Probability Space

Stochastic Differential Equations for Chemical Transformations in White Noise Probability Space

Wick Products and Computations

Kulasiri, Don

Springer Verlag, Singapore

01/2025

264

Dura

9789819793914

Pré-lançamento - envio 15 a 20 dias após a sua edição

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Chapter 1. Introduction to Chemical transformations in far from equilibrium systems.- Chapter 2. A brief introduction to vectors spaces: succinct but pertinent summary for scientists.- Chapter 3. White noise probability spaces (Hermite polynomials and functions and their use in defining Weiner Chaos expansion).- Chapter 4. Introduction to Skorohod integration and Malliavian derivatives-practical interpretations.- Chapter 5. Introduction to Wick Product and its algebra (analytical solutions to Wick product driven stochastic differential equations; Hermite transformations).- Chapter 6. Numerical solutions to stochastic chemical reactions.- Chapter 7. Stochastic coupled reactions systems: Numerical solutions.- Chapter 8. Modelling chiral symmetry breaking and stability in a noisy environment using Wick products-A case study.

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Hermite polynomials;Stochastic chemical reactions;Weiner Chaos expansion;Skorohod integration;Malliavian derivatives;Wick Products