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Random Ordinary Differential Equations and Their Numerical Solution

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Cover of 'Random Ordinary Differential Equations and Their Numerical Solution'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Random Ordinary Differential Equations
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    Chapter 3 Stochastic Differential Equations
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    Chapter 4 Random Dynamical Systems
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    Chapter 5 Numerical Dynamics
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    Chapter 6 Taylor Expansions for Ordinary and Stochastic Differential Equations
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    Chapter 7 Taylor Expansions for RODEs with Affine Noise
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    Chapter 8 Taylor-Like Expansions for General Random Ordinary Differential Equations
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    Chapter 9 Numerical Methods for Ordinary and Stochastic Differential Equations
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    Chapter 10 Itô–Taylor Schemes for RODEs with Itô Noise
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    Chapter 11 Numerical Schemes for RODEs with Affine Noise
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    Chapter 12 RODE-Taylor Schemes: General Case
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    Chapter 13 Numerical Stability
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    Chapter 14 Stochastic Integrals: Simulation and Approximation
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    Chapter 15 Comparative Simulations of Biological Systems
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    Chapter 16 Chemostat
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    Chapter 17 Immune System Virus Model
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    Chapter 18 Random Markov Chains
Attention for Chapter 16: Chemostat
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