Results 11 to 20 of about 2,254,947 (237)
CoRR, 2023 Sinc-collocation methods are known to be efficient for Fredholm integral equations of the second kind, even if functions in the equations have endpoint singularity. However, existing methods have the disadvantage of inconsistent collocation points. This inconsistency complicates the implementation of such methods, particularly for large-scale problems.
Okayama, Tomoaki
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PINNACLE: PINN Adaptive ColLocation and Experimental points selection
CoRRAccepted to 12th International Conference on Learning Representations (ICLR 2024), 36 ...
Gregory Kang Ruey Lau +3 more
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A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems [PDF]
, 1987 This paper is concerned with the study of a class of methods for solving second and fourth-order two-point boundary-value problems. The methods under consideration are modifications of the standard cubic and quintic spline collocation techniques, and ...
Soares, M J, Papamichael, N
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Collocation, semantic prosody and near synonymy: A cross-linguistic perspective. [PDF]
, 2006 This paper explores the collocational behaviour and semantic prosody of near synonyms from a cross-linguistic perspective. The importance of these concepts to language learning is well recognized.
Xiao, R. +7 more
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A meshfree point collocation method for elliptic interface problems [PDF]
Applied Mathematical Modelling, 2023 We present a meshfree generalized finite difference method for solving Poisson's equation with a diffusion coefficient that contains jump discontinuities up to several orders of magnitude. To discretize the diffusion operator, we formulate a strong form method that uses a smearing of the discontinuity; and a conservative formulation based on locally ...
Kraus, Heinrich +3 more
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Computing vibrational spectra using a new collocation method with a pruned basis and more points than basis functions: avoiding quadrature [PDF]
, 2023 We present a new collocation method for computing the vibrational spectrum of a polyatomic molecule. Some form of quadrature or collocation is necessary when the potential energy surface does not have a simple form that simplifies the calculation of the ...
Tucker, CARRINGTON, Jesse , Simmons
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The collocation of measurement points in large open indoor environment [PDF]
2015 IEEE Conference on Computer Communications (INFOCOM), 2015 With the pervasion of mobile devices, crowdsourcing based received signal strength (RSS) fingerprint collection method has drawn much attention to facilitate the indoor localization since it is effective and requires no pre-deployment. However, in large open indoor environment like museums and exhibition centres, RSS measurement points cannot be ...
Kaikai Sheng +6 more
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One-Point Spectrum Nordsieck Almost Collocation Methods
International Journal of Circuits, Systems and Signal Processing, 2020 A family of multivalue collocation methods for the numerical solution of differen- tial problems is proposed. These methods are developed in order to be suitable for the solu- tion of stiff problems, since they are highly stable and do not suffer from order reduction, as they have uniform order of convergence in the whole integration interval.
Conte Dajana +3 more
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The point collocation method with a local maximum entropy approach [PDF]
Computers & Structures, 2018 Abstract Meshless methods have long been a topic of interest in computational modelling in solid mechanics and are broadly divided into weak and strong form-based approaches. The need for numerical integration in the former remains a challenge often met by using a background mesh or complex stabilised nodal approaches.
Fan, L., Coombs, W.M., Augarde, C.E.
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Collocation Solutions of a Weakly Singular Volterra Integral Equation
Trends in Computational and Applied Mathematics, 2007 The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed.
T. Diogo, P. Lima
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