@Article{Boubez:1992:PED, author = "Toufic I. Boubez and Andy M. Froncioni and Richard L. Peskin", title = "A Prototyping Envelope for Differential Equations", journal = "{ACM} Transactions on Mathematical Software", volume = "18", number = "1", pages = "1--10", month = mar, year = "1992", CODEN = "ACMSCU", ISSN = "0098-3500", URL = "http://doi.acm.org/10.1145/128745.128746", abstract = "A system is presented to allow end users to solve nonlinear differential equations without need to write computer programs. The system treats $n$th order space (one dimensional), first order time systems with initial and/or two point boundary value specification. Users of the system need only enter the problem in direct mathematical notation, and output is automatically presented as a solution graph. The system allows the user to alter this equations, in-situ, that is to computationally steer his model. Thus the system is suited for model prototyping. Implementation is based on an object-oriented paradigm, well established and robust numerical procedures, and distributed computing to supported needed resources for numerically intensive tasks.", keywords = "design; experimentation; languages", subject = "{\bf D.2.6}: Software, SOFTWARE ENGINEERING, Programming Environments. {\bf D.2.m}: Software, SOFTWARE ENGINEERING, Miscellaneous. {\bf G.1.5}: Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations. {\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, Smalltalk.", }