pdelib(3F) FORTRAN LIBRARY ROUTINES pdelib(3F) NAME pdelib - Fortran subprograms for nonlinear partial differen- tial equations SYNOPSIS /usr/local/lib/libpde.a DESCRIPTION pdelib is a collection of Fortran subprogram packages which solve general systems of nonlinear initial-boundary-value partial differential equations in one or two space dimen- sions. To link to the library include the option -lpde on the cf77 statement. For example, cf77 -o myprog myprog.f -lpde pdelib was compiled with cf77 with all default options (including automatic vectorization and the use of 47-bit integers). Three user-callable packages are currently available in pdelib. Each solves general nonlinear time-dependent sys- tems of partial differential equations with various types of boundary conditions. Each is based upon the method of lines. In the method of lines the spatial part of the partial dif- ferential equations are discretized, yielding a nonlinear system of ordinary differential equations which is, in turn, solved by adaptive software for that problem. The packages are: mol1d Solves problems in one space dimension with quasi-linear boundary conditions. Can solve hyperbolic equations with or without discontinuities, parabolic equations (including reaction-diffusion equations). Uses an equi-spaced spatial discretization based on second, fourth, or sixth order accu- rate finite differences. (Author: J.M. Hyman, Los Alamos National Lab, Los Alamos,NM 87545) pdecol Solves problems in one space dimension with general boundary conditions. Initial conditions must satisfy the boundary conditions. The spatial discretization is based on colloca- tion of piecewise polynomial functions represented using a B-spline basis. Users may select the degree and level of continuity of the piecewise polynomial solution. (Author: N. Madsen Lawrence Livermore National Lab, Livermore, CA, and R.F. Sincovec, RIACS, NASA Ames, Moffett Field, CA) pdetwo Sun Release 4.1 Last change: March 1991 1 pdelib(3F) FORTRAN LIBRARY ROUTINES pdelib(3F) Solves problems on a rectangular domain in two spatial dimensions with quasi-linear boundary conditions. The spa- tial discretization is second order accurate finite differ- ences on a user-specified rectangular mesh. (Author: D.K. Melgaard and R.F. Sincovec, RIACS, NASA Ames, Moffett Field, CA) DOCUMENTATION Detailed on-line documentation for pdelib subprograms can be obtained using the NIST help system. The command help package pdelib documentation _n_a_m_e obtains the documentation for subprogram _n_a_m_e. This can be abbreviated to hp pdelib doc _n_a_m_e. Further information on how to use the help system can be obtained from the help man page or from help how-to SOURCE Source code for pdelib subprograms can be obtained using the NIST help system. The command help package pdelib source _n_a_m_e obtains the source for subprogram _n_a_m_e. This can be abbrevi- ated to hp pdelib source _n_a_m_e. FILES /usr/local/lib/libpde.a the library archive file /usr/local/apps/pdelib/doc contains pdelib documentation /usr/local/apps/pdelib/src contains pdelib source SEE ALSO cf77(1), help(1) BUGS mol1d writes its output to unit 3. mol1d's plotting option has been disabled. Sun Release 4.1 Last change: March 1991 2