Results 61 to 70 of about 6,739,211 (288)

Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval [PDF]

, 2014
We consider polynomials p^w_n(x) that are orthogonal with respect to the oscillatory weight w(x)=exp(iwx) on [?1,1], where w>0 is a real parameter. A first analysis of p^?_n(x) for large values of w was carried out in connection with complex Gaussian ...
Deaño Cabrera, Alfredo, Deaño, Alfredo
core   +1 more source

Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation

Fractal and Fractional, 2023
In this study, we present an innovative approach involving a spectral collocation algorithm to effectively obtain numerical solutions of the nonlinear time-fractional generalized Kawahara equation (NTFGKE).
Waleed Mohamed Abd-Elhameed, Youssri Hassan Youssri, Amr Kamel Amin, Ahmed Gamal Atta   +3 more
doaj   +1 more source

Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading

Advanced Engineering Materials, EarlyView.
This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev, Noah‐Lean Roschlaub, Anne Jung   +2 more
wiley   +1 more source

Orthogonal Functions [PDF]

, 1956
It was the purpose of this thesis (1) to investigate certain known orthogonal functions; (2) to exhibit elements of similarity among them; (3) to show that they arise as the solutions of differential equations in a similar way; (4) to establish that the ...
Janousek, Arnold L.
core   +1 more source

OntOMat: Toward Ontology‐Based Product and Process Design Engineering and Optimization Solutions Fueling Circular Value Chains

Advanced Engineering Materials, EarlyView.
The OntOMat ontology establishes a structured framework for polymer matrix fiber reinforced composite materials, integrating manufacturing processes, characterization methods, and multiscale design through the VDI/VDE 3682 formalized process description standard.
Nicolas Christ, Jörg Hohe, Martin Kördel, Michael Giese, Niklas Toffert, Christian Seidel, Olaf Rehme, Patrik Schneider, Oliver Focke, Elie Abi Aoun, Claas Falldorf, Beñat Gutierrez, Alexandra Kühn, Sven Torstrick-von der Lieth, Christoph Herden, Erik Johannsen, Jan‐Uwe R. Schmidt, Felix Winkelmann, Andreas Schott, Daniel Schott   +19 more
wiley   +1 more source

Curl-conforming hierarchical vector bases for triangles and tetrahedra [PDF]

, 2011
A new family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions span the curl-conforming reduced-gradient spaces of Nédélec.
Peterson A. F., Graglia, Roberto, Andriulli, Francesco, Andriulli, F.P., Andrew F. Peterson, Peterson, Andrew, Roberto D. Graglia, Andriulli F. P., Peterson, A.F., Francesco P. Andriulli   +9 more
core   +1 more source

Accurate Analytical Forms of Heaviside and Ramp Function

Analytics
In this paper, explicit exact representations of the Unit Step Function and Ramp Function are obtained. These important functions constitute fundamental concepts of operational calculus together with digital signal processing theory and are also involved
John Constantine Venetis
doaj   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Operational Solution of Non-Integer Ordinary and Evolution-Type Partial Differential Equations

Axioms, 2016
A method for the solution of linear differential equations (DE) of non-integer order and of partial differential equations (PDE) by means of inverse differential operators is proposed.
Konstantin V. Zhukovsky, Hari M. Srivastava   +1 more
doaj   +1 more source

Preparation and quality of okara protein gel gummies

SN Applied Sciences, 2023
Okara protein (OP) was extracted by alkali solution and acid-isolation method using bean dregs as raw materials. With OP as the main raw material, the mixed gelatin and modified starch as the gelling agent, xylitol as the sweetener, and buffered lactic ...
Zheng Liu, Juan Yang, Weijing Fan, Bei Jin   +3 more
doaj   +1 more source