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Convergence analysis and application for high-order neural networks based on gradient descent learning algorithm via smooth regularization. [PDF]

Sci Rep
Mohamed KS, Adam A, Mohammed YS, Xiong Y.   +3 more
europepmc   +1 more source

Uncertainty Quantification for <i>In Silico</i> Chemistry. [PDF]

Chem Rev
Frömbgen T, Surzhikova E, Dölz J, Proppe J, Kirchner B, Jacob CR.   +5 more
europepmc   +1 more source

Electron Scattering from NO₂: Cross Sections in the Energy Range of 1-1000 eV. [PDF]

Molecules
Lozano AI, García-Abenza A, Rosado J, Blanco F, Oller JC, Limão-Vieira P, García G.   +6 more
europepmc   +1 more source

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In-plane vibration analyses of circular arches by the generalized differential quadrature rule

International Journal of Mechanical Sciences, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G R Liu, T Y Wu
exaly   +3 more sources

On the stability of continuous quadrature rules for differential equations with several constant delays

IMA Journal of Numerical Analysis, 1993
This paper is concerned with the stability of (non-confluent) Runge-Kutta methods for solving the pure delay differential equation \[ y'(t)=f(t,y(t- \tau),y(t-2\tau),\dots,y(t-R\tau)),\;t>0, \] where \(\tau>0\) is a constant delay and \(y(t)=\varphi(t)\) on \([-R\tau,0]\). The method is described by a Butcher array and an appropriate natural continuous
TORELLI L., VERMIGLIO, Rossana
openaire   +4 more sources

Application of the generalized differential quadrature rule to eighth-order differential equations

Communications in Numerical Methods in Engineering, 2001
AbstractThis work extends the application of the generalized differential quadrature rule (GDQR) to an eighth‐order boundary‐value differential equation with four boundary conditions at boundaries. The differential quadrature expression and explicit weighting coefficients for the eighth‐order differential equation are formulated for a first time to ...
G R Liu
exaly   +3 more sources

The generalized differential quadrature rule for fourth-order differential equations

International Journal for Numerical Methods in Engineering, 2001
AbstractThe generalized differential quadrature rule (GDQR) proposed here is aimed at solving high‐order differential equations. The improved approach is completely exempted from the use of the existing δ‐point technique by applying multiple conditions in a rigorous manner.
G R Liu
exaly   +3 more sources

THE GENERALIZED DIFFERENTIAL QUADRATURE RULE FOR INITIAL-VALUE DIFFERENTIAL EQUATIONS

Journal of Sound and Vibration, 2000
Summary: The generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to solve initial-value differential equations of the 2nd to 4th order. Differential quadrature expressions are derived based on the GDQR for these equations. The Hermite interpolation functions are used as trial functions to obtain the explicit
T Y Wu, G R Liu
exaly   +3 more sources