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Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices

100%

Monvel A., Zielinski L.

Open Mathematics

2014

tom 12

nr 3

445-463

We consider an infinite Jacobi matrix with off-diagonal entries dominated by the diagonal entries going to infinity. The corresponding self-adjoint operator J has discrete spectrum and our purpose is to present results on the approximation of eigenvalues of J by eigenvalues of its finite submatrices.

Anisotropic interpolation error estimates via orthogonal expansions

100%

Li M., Mao S.

Open Mathematics

2013

tom 11

nr 4

621-629

We prove anisotropic interpolation error estimates for quadrilateral and hexahedral elements with all possible shape function spaces, which cover the intermediate families, tensor product families and serendipity families. Moreover, we show that the anisotropic interpolation error estimates hold for derivatives of any order. This goal is accomplished by investigating an interpolation defined via orthogonal expansions.

Ograniczanie wyników

2 Open Mathematics

1 Li M.

1 Mao S.

1 Monvel A.

1 Zielinski L.

1 2014

1 2013

Wyniki wyszukiwania

Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices

Anisotropic interpolation error estimates via orthogonal expansions