scholarly journals Perspective envelopes for bilinear functions

2019 ◽  
Author(s):  
Hassan Hijazi
Keyword(s):  
Bilinear Functions

Symmetric bilinear functions

1967 ◽  
pp. 244-278
Author(s):  
W. H. Greub
Keyword(s):  
Bilinear Functions

scholarly journals Extended formulations for convex hulls of some bilinear functions

2020 ◽  
Vol 36 ◽  
pp. 100569 ◽  
Author(s):  
Akshay Gupte ◽  
Thomas Kalinowski ◽  
Fabian Rigterink ◽  
Hamish Waterer
Keyword(s):  
Convex Hulls ◽  
Extended Formulations ◽  
Bilinear Functions

scholarly journals Robust computation of Morse–Smale complexes of bilinear functions

2013 ◽  
Vol 30 (6) ◽  
pp. 577-587 ◽  
Author(s):  
Gregory Norgard ◽  
Peer-Timo Bremer
Keyword(s):  
Bilinear Functions ◽  
Robust Computation

Simultaneous Convexification of Bilinear Functions over Polytopes with Application to Network Interdiction

2017 ◽  
Vol 27 (3) ◽  
pp. 1801-1833 ◽  
Author(s):  
Danial Davarnia ◽  
Jean-Philippe P. Richard ◽  
Mohit Tawarmalani
Keyword(s):  
Network Interdiction ◽  
Bilinear Functions

A Discontinuous Finite Volume Element Method Based on Bilinear Trial Functions

2017 ◽  
Vol 14 (03) ◽  
pp. 1750025 ◽  
Author(s):  
Tie Zhang ◽  
Lixin Tang
Keyword(s):  
Finite Volume ◽  
Volume Element ◽  
Parabolic Problems ◽  
Optimal Error Estimates ◽  
Optimal Error ◽  
Finite Volume Element ◽  
The Stability ◽  
Bilinear Functions ◽  
First Time ◽  
Optimal Formula

We propose a discontinuous finite volume element (DFVE) method for second order elliptic and parabolic problems. Discontinuous bilinear functions are used as the trial functions. We give the stability analysis of this DFVE method and derive the optimal error estimates in the broken [Formula: see text]-norm. Specifically, the optimal [Formula: see text]-error is obtained for the first time for the bilinear DFVE methods solving elliptic and parabolic problems.

scholarly journals The general form of local bilinear functions

1993 ◽  
Vol 38 (2) ◽  
pp. 145-157
Author(s):  
Milan Práger
Keyword(s):  
Bilinear Functions

scholarly journals On the MT*- and λ-Conjugates of Spaces

1958 ◽  
Vol 10 ◽  
pp. 381-391 ◽  
Author(s):  
H. W. Ellis
Keyword(s):  
Vector Function ◽  
Function Spaces ◽  
Integral Type ◽  
Definition Of ◽  
Bilinear Functions

Marston Morse and William Transue (9, 10), motivated by their theory of bilinear functions, introduced and studied vector function spaces called MT-spaces for which each element of the dual is represented by an integral with respect to a suitable (C) measure. In this paper the definition of real MT-spaces is generalized to give spaces, called MT*-spaces, for which part but not all of the dual is of integral type and this part is called the MT*-conjugate of the space.

scholarly journals Diverse Multiple Lump Analytical Solutions for Ion Sound and Langmuir Waves

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 200
Author(s):  
Abdulmohsen D. Alruwaili ◽  
Aly R. Seadawy ◽  
Syed T. R. Rizvi ◽  
Sid Ahmed O. Beinane
Keyword(s):  
Analytical Solutions ◽  
Natural Evolution ◽  
Langmuir Waves ◽  
Interaction Solutions ◽  
Contour Plots ◽  
Bilinear Functions ◽  
Selection Of

In this work, we study a time-fractional ion sound and Langmuir waves system (FISLWS) with Atangana–Baleanu derivative (ABD). We use a fractional ABD operator to transform our system into an ODE. We investigate multiwaves, periodic cross-kink, rational, and interaction solutions by the combination of rational, trigonometric, and various bilinear functions. Furthermore, 3D, 2D, and relevant contour plots are presented for the natural evolution of the gained solutions under the selection of proper parameters.

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