MWRtools: a library for weighted residual method calculations

We present a set of MATLAB functions developed for solving boundary-value p roblems using globally defined trial function expansions and weighted resid ual methods (MWR). The numerical techniques form a computational toolbox co nsisting of a common set of numerical tools for implementing the different MWR techniques used in the numerical solution: and analysis of process syst ems described by partial differential equation models. This paper presents the results of our initial efforts to create computational modules that hav e a one-to-one correspondence with each step of implementing eigenfunction expansion, Galerkin projection, collocation, and other weighted residual me thods. Examples illustrating the use of the library of subprograms are prov ided, including discussions of the development and application of more adva nced MWR numerical techniques. (C) 1999 Elsevier Science Ltd. All rights re served.