Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

SIAM Journal on Applied Mathematics, Vol. 22, No. 4 (Jun., 1972), pp. 629-647 (19 pages) The two-time perturbation procedure is applied to a class of inhomogeneous initial boundary value problems for ...

SIAM Journal on Numerical Analysis, Vol. 38, No. 6 (2001), pp. 1784-1799 (16 pages) We investigate the convergence properties of the iterated defect correction (IDeC) method based on the implicit ...

Drichlet conditions specify the values of the dependent variables of the boundary points. Neumann conditions specify the values of the normal gradients of the boundary. Robin conditions defines a ...

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...