Results 21 to 30 of about 24,909,697 (184)
Implementation of explicit Nordsieck methods with inherent quadratic stability
Mathematical Modelling and Analysis, 2013 The present paper deals with the implementation in a variable-step algorithm of general linear methods in Nordsieck form with inherent quadratic stability and large stability regions constructed recently by Braś and Cardone. Various implementation issues
Michel Bras +2 more
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Nordsieck methods with inherent quadratic stability
Mathematical Modelling and Analysis, 2011 We derive suffcient conditions which guarantee that the stability polynomial of Nordsieck method for ordinary differential equations has only two nonzero roots. Examples of such methods up to order four are presented which are A-and L-stable.
M. Braś
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The General Linear Model and the Generalized Singular Value Decomposition [PDF]
, 2009 The general linear model with correlated error variables can be transformed by means of the generalized singular value decomposition to a very simple model (canonical form) where the least squares solution is obvious.
Knüsel, Leo
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Optimization-based search for nordsieck methods of high order with quadratic stability polynomials
Mathematical Modelling and Analysis, 2012 We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software.
Angelamaria Cardone +2 more
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The Z5 transformation for solving quasi-linear partial differential equations
Partial Differential Equations in Applied Mathematics, 2023 The Z1-Z4 transformations proposed in our previous papers have acquired remarkable success in the field of linear partial differential equations, general solutions of a large number of typical equations were obtained for the first time, and exact ...
Hong Lai Zhu
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A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods
Mathematical Modelling and Analysis, 2012 We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods.
Dajana Conte +3 more
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Strong Stability Preserving Multistage Integration Methods
Mathematical Modelling and Analysis, 2015 In this paper we systematically investigate explicit strong stability preserving (SSP) multistage integration methods, a subclass of general linear methods (GLMs), of order p and stage order q ≤ p.
Giuseppe Izzo, Zdzislaw Jackiewicz
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Numerical Methods for Ill-Posed, Linear Problems [PDF]
, 1975 A means of assessing the effectiveness of methods used in the numerical solution of various linear ill-posed problems is outlined. Two methods: Tikhonov' s method of regularization and the quasireversibility method of Lattès and Lions are appraised from ...
Stevens, Thomas
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Construction of Nordsieck Second Derivative General Linear Methods with Inherent Quadratic Stability
Mathematical Modelling and Analysis, 2017 This paper describes the construction of second derivative general linear methods in Nordsieck form with stability properties determined by quadratic stability functions. This is achieved by imposing the so–called inherent quadratic stability conditions.
Akram Movahedinejad +2 more
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Some efficient Nordsieck integration methods for IVPs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, in continuation of the construction of efficient numerical methods for stiff IVPs, we construct type two Nordsieck second derivative general linear methods with order p = s, where s is the number of internal stages, and stage order q = p ...
N. Barghi Oskouie, A. Abdi, G. Hojjati
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