Results 71 to 80 of about 572,208 (300)
Identification of Quadratic Volterra Polynomials in the “Input–Output” Models of Nonlinear Systems
Mathematics, 2022 In this paper, we propose a new algorithm for constructing an integral model of a nonlinear dynamic system of the “input–output” type in the form of a quadratic segment of the Volterra integro-power series (polynomial).
Yury Voscoboynikov +4 more
doaj +1 more source
Stable hypersurfaces with zero scalar curvature in Euclidean space
, 2016 In this paper we prove some results concerning stability of hypersurfaces in the four dimensional Euclidean space with zero scalar curvature. First we prove there is no complete stable hypersurface with zero scalar curvature, polynomial growth of ...
Alencar, Hilário +2 more
core +1 more source
Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Mathematical Modelling and Analysis, 2009 We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with kernels which, in addition to a weak diagonal singularity, may have a weak boundary singularity.
Marek Kolk, Arvet Pedas
doaj +1 more source
PLoS ONE, 2023 Highly oscillatory Volterra integral equations are frequently encountered in engineering applications. The Nyström-type method is an important numerical approach for solving such problems.
Qinghua Wu, Mengjun Sun
doaj +1 more source
On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes
, 2011 We propose a first implementation of the integrand-reduction method for two-loop scattering amplitudes. We show that the residues of the amplitudes on multi-particle cuts are polynomials in the irreducible scalar products involving the loop momenta, and ...
A Brandhuber +119 more
core +1 more source
Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
wiley +1 more source
Non-existence criteria for Laurent polynomial first integrals
Electronic Journal of Qualitative Theory of Differential Equations, 2003 Summary: In this paper we derived some simple criteria for non-existence and partial non-existence Laurent polynomial first integrals for a general nonlinear systems of ordinary differential equations \(\dot x = f(x)\), \(x \in \mathbb R^n\) with \(f(0) = 0\).
Shi, Shaoyun, Han, Yuzhu
openaire +3 more sources
Advanced Engineering Materials, EarlyView.Stabilization of L‐PBF Ni50.7Ti49.3 under low‐cycle loading was investigated. Recoverable strain after cycling was dependent on the amount of applied load. Recovery ratio was 53.4% and 35.1% at intermediate and high load, respectively. The maximum total strain reached 10.3% at a high load of 1200 MPa.
Ondřej Červinek +5 more
wiley +1 more source
Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones
Advanced Engineering Materials, EarlyView.A chemistry‐aware design framework for tuning printable polydimethylsiloxane (PDMS) for vat photopolymerization (VPP) is developed using additive Gaussian process (GP) modeling. Polymer network mechanics informs variable groupings, feasible formulation constraints, and interaction variables.
Roxana Carbonell +3 more
wiley +1 more source