On the solvability of discrete nonlinear Neumann problems involving the
Advances in Difference Equations, 2011 In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas +2 more
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Pseudospectra, The Harmonic Oscillator And Complex Resonances
, 1998 We prove that non-self-adjoint harmonic and anharmonic oscillator operators have non-trivial pseudospectra. As a consequence, the computation of high energy resonances by the dilation analyticity technique is not numerically stable.
E. B. Davies
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The Generalized Newton Iteration for the Matrix Sign Function
, 1997 . In this paper we present modified algorithms for computing deflating subspaces of matrix pencils by means of the matrix sign function. Specifically, our new algorithms reduce the number of iterations to half, cut the cost of each Newton iteration by ...
Enrique S. Quintana-Orti +2 more
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Pseudospectra Of Differential Operators
, 1997 We study the pseudospectral theory of a variety of non-self-adjoint constant coefficient and variable coefficient differential operators, showing that the phenomenon of non-trivial pseudospectra is typical rather than exceptional.
E. B. Davies
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Expansion of eigenvalues of the perturbed discrete bilaplacian. [PDF]
Mon Hefte Math, 2022 Kholmatov SY +2 more
europepmc +1 more source
Efficient numerical computation of the basic reproduction number for structured populations. [PDF]
J Comput Appl Math, 2021 Breda D +3 more
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Nonlinear principal components, II: Characterization of normal distributions
Nonlinear principal components are defined for normal random vectors. Their properties are investigated and interpreted in terms of the classical linear principal component analysis. A characterization theorem is proven. All these results are employed to
Salinelli, Ernesto
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Collocation of Next-Generation Operators for Computing the Basic Reproduction Number of Structured Populations. [PDF]
J Sci Comput, 2020 Breda D +3 more
europepmc +1 more source
Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices
Open Mathematics, 2014 Monvel Anne, Zielinski Lech
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Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators
Open Mathematics, 2012 Kanigowski Adam, Kryszewski Wojciech
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