Quantum information researchers have tried to use linear equations as a key to unlock nonlinear differential ones for over a decade. One breakthrough came in 2010, when Dominic Berry , now at ...

The equation y = x is linear because adding together inputs yields the sum of their respective outputs: 1 = 1, 2 = 2, and 1 + 2 = 1 + 2. But that’s not true of y = x 2 : if x is 1, y is 1; if x ...

Framework for solving parabolic partial differential equations could guide ... Fokker-Planck equation, where heat diffuses in a linear ... the G-equation, a nonlinear parabolic PDE that models ...

Text: Differential Equations and Linear Algebra, by Farlow, Hall, McDill, and West. Pearson, 2nd ed. 2007. ... Topics include qualitative methods, linear and nonlinear ODEs, and first and second order ...

A good additional text book is D K Arrowsmith & C M Place, Dynamical Systems - Differential Equations, Maps and Chaotic Behaviour. Other books closely related to R Grimshaw, Nonlinear Ordinary ...

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