Lecture Notes in Mathematics

Generalisation of an inclusion theorem of L.COLLATZ.- On certain iterative methods for solving nonlinear difference equations.- Instability when solving Volterra integral equations of the second kind by multistep methods.- Numerical solution of boundary value problems in Chebyshev series - A method of computation and error estimation.- The numerical stability in solution of differential equations.- On the effects of scaling of the peaceman-rachford method.- The effective order of Runge-Kutta methods.- Error bounds for some single step methods.- Approximation of nonlinear operators.- On the numerical treatment of hyperbolic differential equations with constant coefficients, particularly the n-dimensional wave equation.- Monotonic difference schemes for weakly coupled systems of parabolic differential equations.- The numerical solution of evolutionary partial differential equations.- A method for the numerical integration of non-linear ordinary differential equations with greatly different time constants.- Numerical solution of two differential-difference equations of analytic theory of numbers.- Global accuracy and A-stability of one- and two-step integration formulae for stiff ordinary differential equations.- Optimal order multistep methods with an arbitrary number of nonsteppoints.- Alternating direction methods for parabolic equations in two and three space dimensions with mixed derivatives.- On the convergence rates of variational methods.- An A-stable modification of the Adams-Bashforth methods.- Stability, consistency and convergence of variable K-step methods for numerical integration of large systems of ordinary differential equations.- Local-error estimates for variable-step Runge-Kutta methods.- Time-dependent techniques for the solution of viscous, heat conducting, chemically reacting, radiating discontinuous flows.- Attempts to optimize the structure of an ode program.- Round-off error in the numerical solution of second order differential equations.- Stability properties of the extrapolation method.- Implicit methods for implicit differential equations.- Solution of elliptic eigenvalue problems by calculating ? "Separable" solutions of a dynamic problem.