Results 11 to 20 of about 12,007,006 (285)
Overimplicit multistep methods [PDF]
Applications of Mathematics, 1973 The paper is concerned with the numerical solution of ordinary differential equations by a new class of methods called overimplicit multistep methods. The effort is devoted to the study of the convergence and $A$-stability of the introduced methods. $A$-stable formulae of arbitrarily high orders are shown to exist in this new class.
Prager, Milan +2 more
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Grid-Independent Construction of Multistep Methods [PDF]
Journal of Computational Mathematics, 2018 A new polynomial formulation of variable step size linear multistep methods is presented, where each k-step method is characterized by a fixed set of $k-1$ or $k$ parameters. This construction includes all methods of maximal order ($p=k$ for stiff, and $p=k+1$ for nonstiff problems).
Arévalo, Carmen, Söderlind, Gustaf
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Finite element multistep multideriavative schemes for parabolic equations [PDF]
, 1976 The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
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Finite element solutions to boundary value problems [PDF]
, 1976 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
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Theoretical results of one class of multiderivative methods through order stars [PDF]
, 2011 Order stars are applied to Brown (K,L) methods. They are displayed pictorially for a selection of methods and are used to provide succinct proofs of existing results.
Meneguette, Messias +6 more
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Extended Convergence of Two Multi-Step Iterative Methods
Foundations, 2023 Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. A plethora of applications in chemistry and physics require the solution of
Samundra Regmi +3 more
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Probabilistic Linear Multistep Methods [PDF]
CoRR, 2016 We present a derivation and theoretical investigation of the Adams-Bashforth and Adams-Moulton family of linear multistep methods for solving ordinary differential equations, starting from a Gaussian process (GP) framework. In the limit, this formulation coincides with the classical deterministic methods, which have been used as higher-order initial ...
Onur Teymur +2 more
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Generalized Implicit-Update in Multi-Step QN Methods [PDF]
المجلة العراقية للعلوم الاحصائية, 2007 In this paper, we have generalized the implicit update of the Quasi-Newton’s condition. We have here investigated a four; five and n-step update algorithm. We have applied the cases at four and five- step numerically and we have compared these cases with
Abbas Y. AL-Bayati, Ban A. Metras
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A Family of Multi-Step Subgradient Minimization Methods
Mathematics, 2023 For solving non-smooth multidimensional optimization problems, we present a family of relaxation subgradient methods (RSMs) with a built-in algorithm for finding the descent direction that forms an acute angle with all subgradients in the neighborhood of
Elena Tovbis +5 more
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Interval versions for special kinds of explicit linear multistep methods
Results in Applied Mathematics, 2020 In classical theory of explicit linear multistep methods there are known special kinds of methods which have less function evaluations (in comparison to other multistep methods) and, nevertheless, they give the same accuracy (order) of the approximations
Andrzej Marciniak +1 more
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