Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

In this text the authors consider the best parameterization for nonlinear algebraic or transcendental equations, initial value or Cauchy problems for ordinary differential equations (ODEs), including stiff systems, differential-algebraic equations, functional-differential equations, the problems of interpolation and approximation of curves and for nonlinear boundary-value problems for ODEs with a parameter. They also consider the best parameterization for analysing the behaviour of solutions near singular points. The text should prove to be of interest to scientists, specialists and postgraduate students working in the field of applied and numerical mathematics and mechanics.