The well-known error estimates for the numerical computation of eigenvalues of symmetric integral equations are extended to the computation of the eigenvectors. The ...

Dr. James McCaffrey of Microsoft Research presents a full-code, step-by-step tutorial on a classical ML technique that transforms a dataset into one with fewer columns, useful for creating a graph of ...

The classical first-order Hamilton-Jacobi equation $u^\epsilon _t+H(Du^\epsilon ,x/\epsilon )=0$ has a unique viscosity solution satisfying an initial condition uε ...

AMONG those who are trying to acquire a general acquaintance with Schrödinger's wave-mechanics there must be many who find their mathematical equipment insufficient to follow his first great ...