Results 81 to 90 of about 7,885 (185)
Newton's method for stochastic functional differential equations
Electronic Journal of Differential Equations, 2012 In this article, we apply Newton's method to stochastic functional differential equations. The first part concerns a first-order convergence. We formulate a Gronwall-type inequality which plays an important role in the proof of the convergence theorem
Monika Wrzosek
doaj
AIP Advances, 2014 In this paper, an implicit logarithmic finite difference method (I-LFDM) is implemented for the numerical solution of one dimensional coupled nonlinear Burgers’ equation.
Vineet K. Srivastava +3 more
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Assessing the benefits of approximately exact step sizes for Picard and Newton solver in simulating ice flow (FEniCS-full-Stokes v.1.3.2) [PDF]
Geoscientific Model DevelopmentSolving the momentum balance is the computationally expensive part of simulating the evolution of ice sheets. The momentum balance is described by the nonlinear full-Stokes equations, which are solved iteratively. We use the Picard iteration and Newton's
N. Schmidt +4 more
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A nonmonotone inexact Newton method [PDF]
Optimization Methods and Software, 2005 In this paper, we describe a variant of the inexact Newton method for solving nonlinear systems of equations. We define a nonmonotone inexact Newton step and a nonmonotone backtracking strategy. For this nonmonotone inexact Newton scheme, we present the convergence theorems.
openaire +3 more sources
Formal verification of exact computations using Newton's method [PDF]
, 2009 International audienceWe are interested in the certification of Newton's method. We use a formalization of the convergence and stability of the method done with the axiomatic real numbers of Coq's Standard Library in order to validate the computation ...
Pasca, Ioana +3 more
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On Newton's method for semismooth equations
, 2016 We present local and semilocal convergence results for Newton’s method in order to approximate solutions of semismooth equations. The local convergence results are given under weaker conditions than in earlier studies resulting to a larger convergence ...
I. K. Argyros +1 more
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Relationship between the inexact Newton method and the continuous analogy of Newton's method
Journal of Numerical Analysis and Approximation Theory, 2011 In this paper we propose two new strategies to determine the forcing terms that allow one to improve the efficiency and robustness of the inexact Newton method.
T. Zhanlav +2 more
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Relating Newton's method to projection methods for eigenvalue problems
, 1993 Inverse iteration and Newton's method for the eigenvalue problem are related to best approximations from a subspace. This leads naturally to a Galerkin like method which generalizes Newton's method as applied to the eigenvalue ...
Lenard, Christopher T.
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A Riemannian Proximal Newton Method
SIAM Journal on OptimizationUpdates compared to the previous version: *) the updates for the published version. Additionally updates: *) local quadratic convergence rate *) update the proofs of Lemma 3.3.
Wutao Si +4 more
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A Newton Collocation Method for Solving Dynamic Bargaining Games [PDF]
We develop and implement a collocation method to solve for an equilibrium in the dynamic legislative bargaining game of Duggan and Kalandrakis (2008). We formulate the collocation equations in a quasi-discrete version of the model, and we show that the ...
John Duggan, Tasos Kalandrakis
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