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- Author: Xiaoying Han
- Publisher: Springer
- ISBN-10: 981134843X
- ISBN-13: 9789811348433
- Format: 15.6 x 23.4 x 1.5 cm, softcover
- Language: English
- SAVE -10% with code: EXTRA
Random Ordinary Differential Equations and Their Numerical Solution (e-book) (used book) | bookbook.eu
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Preface.- Reading Guide.- Part I Random and Stochastic Ordinary Differential Equations.- 1.Introduction.-. 2.Random ordinary differential equations.- 3.Stochastic differential equations.- 4.Random dynamical systems.- 5.Numerical dynamics.- Part II Taylor Expansions.- 6.Taylor expansions for ODEs and SODEs.- 7.Taylor expansions for RODEs with affine noise.- 8.Taylor expansions for general RODEs.- Part III Numerical Schemes for Random Ordinary Differential Equations.- 9.Numerical methods for ODEs and SODEs.- 10.Numerical schemes: RODEs with Itô noise.- 11.Numerical schemes: affine noise.- 12.RODE-Taylor schemes.- 13.Numerical stability.- 14.Stochastic integrals.- Part IV Random Ordinary Differential Equations in the Life Sciences.- 15.Simulations of biological systems.- 16.Chemostat.- 17.Immune system virus model.- 18.Random Markov chains.- Part V Appendices.- A.Probability spaces.- B.Chain rule for affine RODEs.- C.Fractional Brownian motion.- References.- Index.
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- Author: Xiaoying Han
- Publisher: Springer
- ISBN-10: 981134843X
- ISBN-13: 9789811348433
- Format: 15.6 x 23.4 x 1.5 cm, softcover
- Language: English English
Preface.- Reading Guide.- Part I Random and Stochastic Ordinary Differential Equations.- 1.Introduction.-. 2.Random ordinary differential equations.- 3.Stochastic differential equations.- 4.Random dynamical systems.- 5.Numerical dynamics.- Part II Taylor Expansions.- 6.Taylor expansions for ODEs and SODEs.- 7.Taylor expansions for RODEs with affine noise.- 8.Taylor expansions for general RODEs.- Part III Numerical Schemes for Random Ordinary Differential Equations.- 9.Numerical methods for ODEs and SODEs.- 10.Numerical schemes: RODEs with Itô noise.- 11.Numerical schemes: affine noise.- 12.RODE-Taylor schemes.- 13.Numerical stability.- 14.Stochastic integrals.- Part IV Random Ordinary Differential Equations in the Life Sciences.- 15.Simulations of biological systems.- 16.Chemostat.- 17.Immune system virus model.- 18.Random Markov chains.- Part V Appendices.- A.Probability spaces.- B.Chain rule for affine RODEs.- C.Fractional Brownian motion.- References.- Index.
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