Methods are presented for performing a rigorous sensitivity analysis of numerical problems with independent, noncorrelated data for general systems of linear and nonlinear equations. The methods may ...

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

Functional differential equations with forward and backward delays arise naturally, for instance, in the study of travelling waves in lattice equations and as semi-discretizations of partial ...

Quantum control of linear stochastic systems encompasses the rigorous study of controlling quantum devices whose dynamics are inherently influenced by random fluctuations. These systems are described ...

In a world where change is not only a constant but also rapidly accelerating, conventional thought patterns are not merely insufficient—they're risky. As an innovation expert, I've observed that the ...