منابع مشابه
Time-Discrete Higher-Order ALE Formulations: Stability
Arbitrary Lagrangian Eulerian (ALE) formulations deal with PDEs on deformable domains upon extending the domain velocity from the boundary into the bulk with the purpose of keeping mesh regularity. This arbitrary extension has no effect on the stability of the PDE but may influence that of a discrete scheme. We examine this critical issue for higher order time stepping without space discretizat...
متن کاملSingular Discrete Higher Order Boundary Value Problems
We study singular discrete nth order boundary value problems with mixed boundary conditions. We prove the existence of a positive solution by means of the lower and upper solutions method and the Brouwer fixed point theorem in conjunction with perturbation methods to approximate regular problems. AMS subject classification: 39A10, 34B16.
متن کاملInequalities for discrete higher order convex functions
[1] E. BOROS AND A. PRÉKOPA, Closed Form Two-Sided Bounds for Probabilities That Exactly r and at Least r out of n Events Occur, Mathematics of Operations Research, 14 (1989), 317–342. [2] D. DAWSON AND A. SANKOFF, An Inequality for Probabilities, Proceedings of the American Mathematical Society, 18 (1967), 504–507. [3] H.P. EDMUNDSON, Bounds on the Expectation of a Convex Function of a Random ...
متن کاملDiscrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients
This paper presents discrete Galerkin method for obtaining the numerical solution of higher even-order integro-differential equations with variable coefficients. We use the generalized Jacobi polynomials with indexes corresponding to the number of homogeneous initial conditions as natural basis functions for the approximate solution. Numerical results are presented to demonstrate the effectiven...
متن کاملPeriodic waves of a discrete higher order nonlinear Schrödinger equation ∗
The Hirota equation is a higher order extension of the nonlinear Schrödinger equation by incorporating third order dispersion and one form of self steepening effect. New periodic waves for the discrete Hirota equation are given in terms of elliptic functions. The continuum limit converges to the analogous result for the continuous Hirota equation, while the long wave limit of these discrete per...
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1974
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.10.581