Accurate Computation of Generalized Eigenvalues of Regular SR-BP Pairs

AbstractWe study the generalized eigenvalue problem in {\mathbb{R}^{N}} for a general convex nonlinear elliptic operator which is locally elliptic and positively 1-homogeneous. Generalizing [H. Berestycki and L. Rossi, Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains, Comm. Pure Appl. Math. 68 2015, 6, 1014–1065], we consider three different notions of generalized eigenvalues and compare them. We also discuss the maximum principles and uniqueness of principal eigenfunctions.

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The Challenge of Accurate Computation of Two-Photon Absorption Properties of Organic Chromophores in the Condensed Phase

Journal of Chemical Theory and Computation ◽

10.1021/acs.jctc.1c00204 ◽

2021 ◽

Author(s):

Mingxue Fu ◽

Tomasz A. Wesolowski

Keyword(s):

Condensed Phase ◽

Photon Absorption ◽

Absorption Properties ◽

Two Photon Absorption ◽

Organic Chromophores ◽

Two Photon ◽

Accurate Computation

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A Fast Volume Integral Equation Solver with Linear Basis Functions for the Accurate Computation of EM Fields in MRI

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2020.3044685 ◽

2020 ◽

pp. 1-1

Author(s):

Ioannis P. Georgakis ◽

Ilias I. Giannakopoulos ◽

Mikhail S. Litsarev ◽

Athanasios G. Polimeridis

Keyword(s):

Integral Equation ◽

Basis Functions ◽

Volume Integral ◽

Volume Integral Equation ◽

Linear Basis ◽

Accurate Computation

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Models for Accurate Computation of Earliest and Latest Start Times and Optimal Compression in Project Networks

Journal of Construction Engineering and Management ◽

10.1061/(asce)0733-9364(2007)133:8(600) ◽

2007 ◽

Vol 133 (8) ◽

pp. 600-608 ◽

Cited By ~ 5

Author(s):

John Moussourakis ◽

Cengiz Haksever

Keyword(s):

Project Networks ◽

Accurate Computation

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Accurate Computation of Gaussian Quadrature for Tension Powers

10.1063/1.2790194 ◽

2007 ◽

Author(s):

Saša Singer ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Gaussian Quadrature ◽

Accurate Computation

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Defect correction and multigrid for an efficient and accurate computation of airfoil flows

Journal of Computational Physics ◽

10.1016/0021-9991(88)90162-3 ◽

1988 ◽

Vol 77 (1) ◽

pp. 183-206 ◽

Cited By ~ 53

Author(s):

Barry Koren

Keyword(s):

Defect Correction ◽

Accurate Computation

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Classification and Characterization of Gene Expression Data with Generalized Eigenvalues

Journal of Optimization Theory and Applications ◽

10.1007/s10957-008-9496-x ◽

2008 ◽

Vol 141 (3) ◽

pp. 533-545 ◽

Cited By ~ 11

Author(s):

M. R. Guarracino ◽

S. Cuciniello ◽

P. M. Pardalos

Keyword(s):

Gene Expression ◽

Gene Expression Data ◽

Expression Data ◽

Generalized Eigenvalues

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Fast and accurate computation of Bessel functions with (large) complex order and argument

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.10.057 ◽

2009 ◽

Vol 207 (2) ◽

pp. 442-447 ◽

Cited By ~ 7

Author(s):

R.W. Smink ◽

B.P. de Hon ◽

A.G. Tijhuis

Keyword(s):

Bessel Functions ◽

Complex Order ◽

Large Complex ◽

Accurate Computation

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Chemical-shift tensors of heavy nuclei in network solids: a DFT/ZORA investigation of 207Pb chemical-shift tensors using the bond-valence method

Physical Chemistry Chemical Physics ◽

10.1039/c5cp03348a ◽

2015 ◽

Vol 17 (38) ◽

pp. 25014-25026 ◽

Cited By ~ 21

Author(s):

Fahri Alkan ◽

C. Dybowski

Keyword(s):

Chemical Shift ◽

Quantum Chemistry ◽

Principal Components ◽

Bond Valence ◽

Cluster Models ◽

Magnetic Shielding ◽

Heavy Nuclei ◽

Chemical Shift Tensors ◽

Accurate Computation ◽

Bond Valence Model

Accurate computation of 207Pb magnetic shielding principal components is within the reach of quantum chemistry methods by employing relativistic ZORA/DFT and cluster models adapted from the bond valence model.

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