The book gives the reader the basis for understanding the way
numerical schemes achieve accurate and stable simulations of
physical phenomena. It is based on the finite-difference method and
simple problems that allow also the analytic solutions to be worked
out. ODEs as well as hyperbolic, parabolic and elliptic types are
treated. The book builds on simple model equations and,
pedagogically, on a host of problems given together with their
solutions.
General
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