Computational mathematics proposes and studies methods for solving
mathematical problems that are typically too large for human numerical capacity.
Numerical analysis studies methods for problems in
analysis using
functional analysis and
approximation theory; numerical analysis includes the study of
approximation and
discretization broadly with special concern for
rounding errors. Numerical analysis and, more broadly, scientific computing also study non-analytic topics of mathematical science, especially
algorithmic matrix and
graph theory. Other areas of computational mathematics include
computer algebra and
symbolic computation.
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