Results 11 to 20 of about 4,525,854 (182)
Construction of efficient general linear methods for non-stiff differential systems
Mathematical Modelling and Analysis, 2012 This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region.
Michal Bra´s, Angelamaria Cardone
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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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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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Empirical risk minimization as parameter choice rule for general linear regularization methods.
, 2020 We consider the statistical inverse problem to recover f from noisy measurements Y = Tf + sigma xi where xi is Gaussian white noise and T a compact operator between Hilbert spaces.
Li, H., Werner, F.
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Model Reduction by Moment Matching for Linear Switched Systems [PDF]
, 2014 Two moment-matching methods for model reduction of linear switched systems (LSSs) are presented. The methods are similar to the Krylov subspace methods used for moment matching for linear systems.
Bastug, Mert +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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Dimensionality Reduction Mappings [PDF]
, 2011 A wealth of powerful dimensionality reduction methods has been established which can be used for data visualization and preprocessing. These are accompanied by formal evaluation schemes, which allow a quantitative evaluation along general principles and ...
Biehl, Michael +3 more
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