SIAM Journal on Numerical Analysis, Vol. 55, No. 6 (2017), pp. 3097-3119 (23 pages) We consider the problem of stabilizing a matrix by a correction of minimal norm: Given a square matrix that has some ...

For systems of matrix equations of the form $$U' = A(t, U, V)V,\quad V' = - B(t, U, V)$$ it is shown here that the oscillation problem can be reduced to the ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Description: Finite difference methods for solving fluid flow problems. Review of classification of partial differential equations, well-posed problems, and discrete approximation of partial ...

We propose a new, unified approach to solving jump-diffusion partial integrodifferential equations (PIDEs), which often appear in mathematical finance. Our method consists of the following steps.

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...

The researchers’ device applies principles of neural networking to an optical framework. As a wave encoded with a PDE passes through the ONE’s series of components, its properties gradually shift and ...