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Listar por palabra clave "Composition methods"

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Listar por palabra clave "Composition methods"

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    Magnus-based geometric integrators for dynamical systems with time-dependent potentials 
    Kopylov, Nikita (Universitat Politècnica de València, 2019-03-27)
    [ES] Esta tesis trata sobre la integración numérica de sistemas hamiltonianos con potenciales explícitamente dependientes del tiempo. Los problemas de este tipo son comunes en la física matemática, porque provienen de la ...
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    Novel parallel in time integrators for ODEs 
    Blanes Zamora, Sergio (Elsevier, 2021-12)
    [EN] We present a novel class of integrators for differential equations that are suitable for parallel in time computation, whose structure can be considered as a generalization of the extrapolation methods. Starting with ...
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    On the construction of symmetric second order methods for ODEs 
    Blanes Zamora, Sergio (Elsevier, 2019-12)
    [EN] We show how to build explicit symmetric second order methods for solving ordinary differential equations. These methods are very useful when low accuracy is required or when higher order ones by extrapolation or ...
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    Optimized High-Order Splitting Methods For Some Classes Of Parabolic Equations 
    Blanes Zamora, Sergio; Casas Perez, Fernando; Chartier, P.; Murua, A. (American Mathematical Society, 2013-07)
    We are concerned with the numerical solution obtained by splitting methods of certain parabolic partial differential equations. Splitting schemes of order higher than two with real coefficients necessarily involve negative ...
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    Splitting and composition methods with embedded error estimators 
    Blanes Zamora, Sergio; Casas, Fernando; Thalhammer, Mechthild (Elsevier, 2019-12)
    [EN] We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the ...
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    Splitting methods for differential equations 
    Blanes Zamora, Sergio; Casas, Fernando; Murua, Ander (Cambridge University Press, 2024-09-04)
    [EN] This overview is devoted to splitting methods, a class of numerical integrators intended for differential equations that can be subdivided into different problems easier to solve than the original system. Closely ...