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Starting procedures for general linear methods
Applied Numerical Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Califano, G., Izzo, G., Jackiewicz, Z.
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An extension of general linear methods
Numerical Algorithms, 2010This paper introduces new numerical methods for solving an initial value problem for ordinary differential equations. These new methods belong to the class of general linear methods (GLMs), which generalize both the classical Runge-Kutta and linear multistep methods.
Abdi, Ali, Hojjati, Gholamreza
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Generalized method for non-linearity compensation
2005 Quantum Electronics and Laser Science Conference, 2005A unified method for nonlinearity compensation is demonstrated using a new graphical approach. This method provides deep physical insight of the known nonlinearity compensation techniques and allows deriving new compensation schemes.
P. Minzioni, A. Schiffini
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Linear convergence of generalized Weiszfeld's method
Computing, 1980Weiszfeld's method is widely used for solving problems of optimal location. It is shown that a very general variant of this method converges linearly thus generalizing a result of I. N. Katz.
Voß, H., Eckhardt, Ulrich
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General Linear Methods for Stiff Differential Equations
BIT Numerical Mathematics, 2001A general class of numerical methods for stiff initial value problems that contains both the linear multistep and Runge-Kutta methods is considered. The aim of the author is to obtain particular methods that combine the low computational cost shared by the standard backward differential formula (BDF) methods of the class of multistep methods with the ...
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Linearly Implicit General Linear Methods
2022Linearly implicit Runge–Kutta methods provide a fitting balance of implicit treat- ment of stiff systems and computational cost. In this paper we extend the class of linearly implicit Runge–Kutta methods to include multi-stage and multi-step methods.
Sarshar, Arash +2 more
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Boundedness Properties of General Linear Methods
AIP Conference Proceedings, 2010For Runge‐Kutta methods, linear multistep methods and other classes of general linear methods much attention has been paid in the literature to important nonlinear stability properties such as total‐variation‐diminishing (TVD), strong stability preserving (SSP) and monotonicity.
A. Mozartova +3 more
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A new linearization method for generalized linear multiplicative programming
Computers & Operations Research, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Chun-Feng, Liu, San-Yang
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GENERAL LINEAR NYSTROM METHODS
2011In this talk we describe the family of General Linear Nystrom methods (GLNs), which provides the extension of the family of General Linear Methods for the numerical solution of first order Ordinary Differential Equations (ODEs) [1, 2] to special second order ODEs.
D'AMBROSIO, RAFFAELE +2 more
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Algebraic Stability of General Linear Methods
1996In Sections IV.12 and V.6 we have studied the nonlinear stability of Runge-Kutta methods (B -stability) and of one-leg methods (G-stability). It is natural to ask whether these theories can be combined within the class of general linear methods. This work was initiated by Burrage & Butcher (1980).
Ernst Hairer, Gerhard Wanner
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