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Introduction

 

Both engineers and computational scientists alike will benefit greatly from having a standard test set for  Boundary Value Problems (BVPs) which includes documentation of the test problems, experimental results from a number of proven solvers, and Fortran, Matlab, R, subroutines providing a common interface to the defining problem functions. Engineers will be able to see at a glance which methods will be most effective for their class of problems. Researchers will be able to compare their new methods with the results of existing ones without incurring additional programming workload; they will have a reference with which their colleagues are familiar. This test set tries to fulfill these demands and tries to set a standard for BVP solver testing. We hope that the following features of this set will enable the achievement of this goal:

  • uniform presentation of the problems,
  • ample description of the origin of the problems,
  • robust interfaces between problem and drivers,
  • portability among different platforms,
  • contributions by people from several application fields,
  • presence of real-life problems,
  • being used, tested and debugged by a large, international group of researchers,
  • comparisons of the performance of well-known solvers,
  • interpretation of the numerical solution in terms of the application field,
  • ease of access and use.