A new method, combining complex analysis with numerics, is introduced for solving a large class of linear partial differential equations (PDEs). This includes any linear constant coefficient PDE, as ...

This is a preview. Log in through your library . Abstract Matrix Riccati Differential Equations (MRDEs) X′ = A 21 - XA 11 + A 22 X - XA 12 X, X(0) = X0, where A ij ≡ A ij (t), appear frequently ...

Countless phenomena in various technological and scientific fields are formed by systems of ordinary differential equations. However for large systems of such equations, some components can exhibit ...

A mathematician has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate methods are highly efficient for large systems, where some components ...

Continuation of APPM 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving ...