The monodromy operator of a linear delay differential equation with periodic coefficients is formulated as an integral operator. The kernel of this operator includes a factor formed from the ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 3 (2012), pp. 1604-1623 (20 pages) Decoupling a fourth order elliptic boundary value problem into a system of second order equations may give an ...

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve. Unless you’re a physicist or an engineer, there really isn’t ...

I am interested in spatial stochastic models, in particular in diffusions, branching diffusions, superprocesses, and processes in random media. Certain linear and nonlinear partial differential ...

This book provides a lively and accessible introduction to the numerical solution of stochastic differential equations with the aim of making this subject available to the widest possible readership.

This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...