Estimating conditioning of BVPs for ODEs
نویسندگان
چکیده
منابع مشابه
Estimating conditioning of BVPs for ODEs
Abst rac t -An alternative to control of the global error of a numerical solution to a boundary value problem (BVP) for ordinary differential equations (ODEs) is control of its residual, the amount by which it fails to satisfy the ODEs and boundary conditions. Among the methods used by codes tha t control residuals are collocation, Runge-Kut ta methods with continuous extensions, and shooting. ...
متن کاملNew Parallel Algorithms for BVPs in ODEs
صخلملا لئاسـم لـحل ةيزاوتم ةديدج ةقيرط ريوطت وه يسيئرلا ثحبلا اذه فده لضافتلا تلاداعملا يف ةيموختلا ميقلا ةيزاوتم تابساح يف ذيفنتلل ةمئلام ةيدايتعلاا ةي عون نم MIMD ) دحاو نآ يف ةددعتم تايلمع تاذ تابساح .( ةيـصاخ ةسارد تمت ةداـيز قـيرط نع ةقيرطلا نيسحت متو ةقيرطلل أطخلا ىلع ةرطيسلاو ةيرارقتسلأا يعجرلا لماكتلاو تانيمختلا ددع . ةـفاجلا ةـيموختلا ميـقلا لئاسم ةجلاعم تمت امك ةركتبملا ةقيرطلاب . A...
متن کاملPeriodic BVPs in ODEs with time singularities
In this paper we show the existence of solutions to a nonlinear singular second order ordinary differential equation, u(t) = a t u(t) + λf(t, u(t), u(t)), subject to periodic boundary conditions, where a > 0 is a given constant, λ > 0 is a parameter, and the nonlinearity f(t, x, y) satisfies the local Carathéodory conditions on [0, T ] × R × R. Here, we study the case that a well-ordered pair o...
متن کاملThe Parallel Solution of Almost Block Diagonal Systems Arising in Numerical Methods for BVPs for ODEs
Three parallel algorithms are presented for solving the Almost Block Diagonal (ABD) systems of linear algebraic equations that arise during the numerical solution of Boundary Value Problems (BVPs) for Ordinary Differential Equations (ODEs). Until recently, the solution of these systems has proven to be the execution-time bottleneck in the parallel implementation of most BVP codes. Several numer...
متن کاملA Two-Stage LGSM for Three-Point BVPs of Second-Order ODEs
The study in this paper is a numerical integration of second-order three-point boundary value problems under two imposed nonlocal boundary conditions at t t0, t ξ, and t t1 in a general setting, where t0 < ξ < t1. We construct a two-stage Lie-group shooting method for finding unknown initial conditions, which are obtained through an iterative solution of derived algebraic equations in terms of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2004
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2005.01.021