Efforts aimed at understanding the behavior of metals under loading beyond the elastic
regime provided the starting point, at the turn of this century, for the development of a body of …

In the sciences, situations where dissipation is not significant may invariably be modelled by
Hamiltonian systems of ordinary, or partial, differential equations. Symplectic integrators are …

This book goes back a long way. There is a tradition of research and teaching in inelasticity
at Stanford that goes back at least to Wilhelm Flugge ̈ and Erastus Lee. I joined the faculty …

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations:
Back Matter Page 1 Bibliography [1] VI Arnold. Mathematical Methods of Classical Mechanics …

This textbook provides the first systematic presentation of the theory of stochastic differential
equations with Markovian switching. It presents the basic principles at an introductory level …

This book deals with numerical methods for solving partial differential equa tions (PDEs)
coupling advection, diffusion and reaction terms, with a focus on time-dependency. A …

Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

Traditional finite-time convergence theory for numerical methods applied to stochastic
differential equations (SDEs) requires a global Lipschitz assumption on the drift and …

A concise introduction to numerical methodsand the mathematical framework neededto
understand their performance Numerical Solution of Ordinary Differential Equations …

This paper constitutes a centenary survey of Runge-Kutta methods. It reviews some of the
early contributions due to Runge, Heun, Kutta and Nyström and leads on to the theory of …