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Stochastic Stability of Differential Equations (Hardcover, 2nd ed. 2012): Rafail Khasminskii Stochastic Stability of Differential Equations (Hardcover, 2nd ed. 2012)
Rafail Khasminskii; Contributions by Grigori Noah Milstein
R3,558 Discovery Miles 35 580 Ships in 10 - 15 working days

Since the publication of the first edition of the present volume in 1980, the stochastic stability of differential equations has become a very popular subject of research in mathematics and engineering. To date exact formulas for the Lyapunov exponent, the criteria for the moment and almost sure stability, and for the existence of stationary and periodic solutions of stochastic differential equations have been widely used in the literature. In this updated volume readers will find important new results on the moment Lyapunov exponent, stability index and some other fields, obtained after publication of the first edition, and a significantly expanded bibliography. This volume provides a solid foundation for students in graduate courses in mathematics and its applications. It is also useful for those researchers who would like to learn more about this subject, to start their research in this area or to study the properties of concrete mechanical systems subjected to random perturbations.

Stochastic Numerics for Mathematical Physics (Hardcover, 2004 ed.): Grigori Noah Milstein, Michael V. Tretyakov Stochastic Numerics for Mathematical Physics (Hardcover, 2004 ed.)
Grigori Noah Milstein, Michael V. Tretyakov
R5,037 Discovery Miles 50 370 Ships in 12 - 17 working days

Stochastic differential equations have many applications in the natural sciences. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce solution of multi-dimensional problems for partial differential equations to integration of stochastic equations. This approach leads to powerful computational mathematics that is presented in the treatise. The authors propose many new special schemes, some published here for the first time. In the second part of the book they construct numerical methods for solving complicated problems for partial differential equations occurring in practical applications, both linear and nonlinear. All the methods are presented with proofs and hence founded on rigorous reasoning, thus giving the book textbook potential. An overwhelming majority of the methods are accompanied by the corresponding numerical algorithms which are ready for implementation in practice. The book addresses researchers and graduate students in numerical analysis, physics, chemistry, and engineering as well as mathematical biology and financial mathematics.

Stochastic Stability of Differential Equations (Paperback, Softcover reprint of hardcover 2nd ed. 2012): Rafail Khasminskii Stochastic Stability of Differential Equations (Paperback, Softcover reprint of hardcover 2nd ed. 2012)
Rafail Khasminskii; Contributions by Grigori Noah Milstein
R3,527 Discovery Miles 35 270 Ships in 10 - 15 working days

Since the publication of the first edition of the present volume in 1980, the stochastic stability of differential equations has become a very popular subject of research in mathematics and engineering. To date exact formulas for the Lyapunov exponent, the criteria for the moment and almost sure stability, and for the existence of stationary and periodic solutions of stochastic differential equations have been widely used in the literature. In this updated volume readers will find important new results on the moment Lyapunov exponent, stability index and some other fields, obtained after publication of the first edition, and a significantly expanded bibliography. This volume provides a solid foundation for students in graduate courses in mathematics and its applications. It is also useful for those researchers who would like to learn more about this subject, to start their research in this area or to study the properties of concrete mechanical systems subjected to random perturbations.

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