Computer Algebra and Symbolic-Numerics solutions
Abstract:
Solutions of the partial differential equations of physics have been
derived symbolically and numerically. Usually these approaches are treated
separately. In the case of symbolic methods, the range of boundary-value
problems that can be solved is smaller than is available to numerical methods.
By combining symbolic and numeric methods, the range of symbolic solutions
can be extended. This is shown using some examples of solutions from Classical
Physics.