Conference on the numerical solution of differential equations : held in Dundee/Scotland, June 23-27 1969 / / edited by J. L. Morris

• Pubblicazione: Berlin, Germany : , : Springer-Verlag, , [1969]; ©1969
• Edizione: 1st ed. 1969.
• Descrizione fisica: 1 online resource (VI, 278 p.)
• Disciplina: 515.35
• Soggetto topico: Differential equations - Numerical solutions; Differential equations; Mathematics
• Persona (resp. second.): MorrisJ. L.
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: 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.
• Titolo autorizzato: Conference on the numerical solution of differential equations
• ISBN: 3-540-36158-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466646203316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 109.