Random Ordinary Differential Equations and Their Numerical Solution - Probability Theory and Stochastic Modelling 85 (Paperback)
  • Random Ordinary Differential Equations and Their Numerical Solution - Probability Theory and Stochastic Modelling 85 (Paperback)
zoom

Random Ordinary Differential Equations and Their Numerical Solution - Probability Theory and Stochastic Modelling 85 (Paperback)

(author), (author)
£89.99
Paperback 250 Pages / Published: 11/12/2018
  • We can order this

Usually dispatched within 1 week

  • This item has been added to your basket

This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems. In addition, it demonstrates how RODEs are being used in the biological sciences, where non-Gaussian and bounded noise are often more realistic than the Gaussian white noise in stochastic differential equations (SODEs).

RODEs are used in many important applications and play a fundamental role in the theory of random dynamical systems. They can be analyzed pathwise with deterministic calculus, but require further treatment beyond that of classical ODE theory due to the lack of smoothness in their time variable. Although classical numerical schemes for ODEs can be used pathwise for RODEs, they rarely attain their traditional order since the solutions of RODEs do not have sufficient smoothness to have Taylor expansions in the usual sense. However, Taylor-like expansions can be derived for RODEs using an iterated application of the appropriate chain rule in integral form, and represent the starting point for the systematic derivation of consistent higher order numerical schemes for RODEs.

The book is directed at a wide range of readers in applied and computational mathematics and related areas as well as readers who are interested in the applications of mathematical models involving random effects, in particular in the biological sciences.The level of this book is suitable for graduate students in applied mathematics and related areas, computational sciences and systems biology. A basic knowledge of ordinary differential equations and numerical analysis is required.

Publisher: Springer Verlag, Singapore
ISBN: 9789811348433
Number of pages: 250
Weight: 415 g
Dimensions: 235 x 155 mm
Edition: Softcover reprint of the original 1st ed. 201

You may also be interested in...

Psychology Statistics For Dummies
Added to basket
Statistics
Added to basket
£29.50
Paperback
Probability: A Very Short Introduction
Added to basket
The Elements of Statistical Learning
Added to basket
Naked Statistics
Added to basket
£12.99
Paperback
Developing Analytic Talent
Added to basket
Probability with Martingales
Added to basket
Molecular Evolution
Added to basket
£44.49
Paperback
Introduction to Probability
Added to basket
Bayesian Statistics
Added to basket
£39.95
Paperback
An Introduction to Statistical Learning
Added to basket
Risk
Added to basket
£12.99
Paperback
New Cambridge Statistical Tables
Added to basket
Statistics Essentials For Dummies
Added to basket
The Signal and the Noise
Added to basket

Please sign in to write a review

Your review has been submitted successfully.