Numerical Analysis -

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Résumé :
Runge-Kutta methods for Volterra integral equations of the second kind.- Best approximation of complex-valued data.- Inverse eigenvalue problems for band matrices.- Multivariate approximants with branch points.- The numerical treatment of some singular boundary value problems.- The incorporation of boundary conditions in spline approximation problems.- A time-stepping method for Galerkin approximations for nonlinear parabolic equations.- An automatic one-way dissection algorithm for irregular finite element problems.- Generalised Galerkin methods for second order equations with significant first derivative terms.- The Levenberg-Marquardt algorithm: Implementation and theory.- Nonlinear approximation problems in vector norms.- Finite difference solution of two-point boundary value problems and symbolic manipulation.- A fast algorithm for nonlinearly constrained optimization calculations.- The decomposition of systems of procedures and algebraic equations.- Global error estimation in ODE-solvers.- Isojacobic crosswind differencing....

Sommaire:
Runge-Kutta methods for Volterra integral equations of the second kind.- Best approximation of complex-valued data.- Inverse eigenvalue problems for band matrices.- Multivariate approximants with branch points.- The numerical treatment of some singular boundary value problems.- The incorporation of boundary conditions in spline approximation problems.- A time-stepping method for Galerkin approximations for nonlinear parabolic equations.- An automatic one-way dissection algorithm for irregular finite element problems.- Generalised Galerkin methods for second order equations with significant first derivative terms.- The Levenberg-Marquardt algorithm: Implementation and theory.- Nonlinear approximation problems in vector norms.- Finite difference solution of two-point boundary value problems and symbolic manipulation.- A fast algorithm for nonlinearly constrained optimization calculations.- The decomposition of systems of procedures and algebraic equations.- Global error estimation in ODE-solvers.- Isojacobic crosswind differencing.