The Numerical Treatment of Differential Equations

I Mathematical preliminaries and some general principles.- II Initial-value problems in ordinary differential equations.- III Boundary-value problems in ordinary differential equations.- IV Initial- and initial-/boundary-value problems in partial differential equations.- V Boundary-value problems in partial differential equations.- VI Integral and functional equations.- Table III. Finite-difference expressions for ordinary differential equations.- Table IV. Euler expressions for functions of one independent variable.- Table V. Euler expressions for functions of two independent variables.- Table VII. Catalogue of examples treated.- Author index.