A semi-numeric difference algorithm

  title={A semi-numeric difference algorithm},
  author={H. Khalil and D. L. Ulery},
Recent advances in symbolic computational systems have large impact on the development of mathematical software (4). The computational complexity of solving various problems is great ly reduced i f one develops a symbolic system for solving a par t icu lar class of problems. The existence of such a system has several advantages. F i rs t , one achieves a uni f ied approach for generating various numerical algorithms by special iz ing the parameters. Second, one derives s t a b i l i t y… Expand
1 Citations
Symbolic-Numeric Interface: a review (in absentia)
  • E. W. Ng
  • Mathematics, Computer Science
  • 1979
A survey of the use of a combination of symbolic and numerical calculations is presented and it is contended that other less obvious topics such as the fast Fourier transform, linear algebra, nonlinear analysis and error analysis would also benefit from a synergistic approach. Expand


Symbolic/numeric algorithms for partial differential equations
A two-phase procedure is described for automatically producing multiparameter families of difference approximations to the heat operator, using a truncated series expansion to form the appropriate difference operator. Expand
Computer generation of difference approximations
An algorithmic approach, based on the method of undetermined coefficients, for generating difference approximation to partial differential operators is presented here. The approach is based onExpand