Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

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

N. K. BASU, THE NUMERICAL SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS IN A SERIES OF DERIVATIVES OF CHEBYSHEV POLYNOMIALS, Bulletin mathématique de la Société des Sciences Mathématiques de la République ...

Linear functional differential equations of mixed type are typically ill-posed, i.e., there exists, in general, no solution to a given initial condition. We prove that Fredholm properties of these ...