Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods
نویسندگان
چکیده
منابع مشابه
Explicit Two-Step Methods for Second-Order Linear IVPs
we present a new type of method for the integration of systems of linear inhomogeneous initial value problems with constant coefficients. Our methods are of hybrid explicit Numerov type. The methods are constructed without the intermediate use of high accuracy interpolatory nodes, since only the Taylor expansion at the internal points is needed. Then we derive the order conditions taking advant...
متن کاملImproved linear multi-step methods for stochastic ordinary differential equations
We consider linear multi-step methods for stochastic ordinary differential equations and study their convergence properties for problems with small noise or additive noise. We present schemes where the drift part is approximated by well-known methods for deterministic ordinary differential equations. Previously, we considered Maruyama-type schemes, where only the increments of the driving Wiene...
متن کاملUnconditionally Stable Schemes for Higher Order Inpainting
Abstract. Inpainting methods with third and fourth order equations have certain advantages in comparison with equations of second order such as the smooth interpolation of image information even over large distances. Because of this such methods became very popular in the last couple of years. Solving higher order equations numerically can be a computational demanding task though. Discretizing ...
متن کاملsingle-step synthesis of multi-component spirobarbiturates using ionic liquids and synthesis of substituted pyridine filled with catalysts supported on solid substrate
in this thesis, a better reaction conditions for the synthesis of spirobarbiturates catalyzed by task-specific ionic liquid (2-hydroxy-n-(2-hydroxyethyl)-n,n-dimethylethanaminium formate), calcium hypochlorite ca(ocl)2 or n-bromosuccinimide (nbs) in the presence of water at room temperature by ultrasonic technique is provided. the design and synthesis of spirocycles is a challenging task becaus...
15 صفحه اولFamilies of two-step fourth order P-stable methods for second order differential equations
This paper deals with a class of symmetric (hybrid) two-step fourth order P-stable methods for the numerical solution of special second order initial value problems. Such methods were proposed independently by Cash [1] and Chawla [3] and normally require three function evaluations per step. The purpose of this paper is to point out that there are some values of the (free) parameters available i...
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: Computational Mechanics
سال: 2020
ISSN: 0178-7675,1432-0924
DOI: 10.1007/s00466-020-01933-y