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- catalog abstract "This Research Note presents a method for the numerical estimation of eigenvalues which is easy to understand, practical to implement and effective in its results. It is developed with complete details of how to calculate eigenvalues associated with vibrating membranes and plates, waveguides, sloshing fluids and Stekloff problems; however, this flexible technique can be applied to a variety of eigenvalue problems. The text is illustrated by a number of simple examples, many of which are worked out in full. By discussing both theoretical and computational aspects, this book is of use to electrical and mechanical engineers as well as applied mathematicians.".
- catalog contributor b515007.
- catalog contributor b515008.
- catalog created "1985.".
- catalog date "1985".
- catalog date "1985.".
- catalog dateCopyrighted "1985.".
- catalog description "Bibliography: p. 144-149.".
- catalog description "Introduction -- A posteriori and A priori inequalities -- Applying the method of A posteriori-A priori inequalities -- Membrane problems -- Eigenvalues in the boundary conditions -- Plate problems -- Appendix A: 1. Lower bounds for Dirichlet eigenvalues -- 2. Some formulas for Legendre polynomials -- 3. Lower bounds for the "Neumann" eigenvalues -- 4. Bounds for the sloshing problem -- 5. The A priori inequality for the clamped plate -- 6. The A priori inequality for Orthotropic plates -- 7. The A priori inequality for the variable thickness plate -- 8. A priori inequalities for cantilever plates and elastic organ pipes.".
- catalog description "This Research Note presents a method for the numerical estimation of eigenvalues which is easy to understand, practical to implement and effective in its results. It is developed with complete details of how to calculate eigenvalues associated with vibrating membranes and plates, waveguides, sloshing fluids and Stekloff problems; however, this flexible technique can be applied to a variety of eigenvalue problems. The text is illustrated by a number of simple examples, many of which are worked out in full. By discussing both theoretical and computational aspects, this book is of use to electrical and mechanical engineers as well as applied mathematicians.".
- catalog extent "152 p. :".
- catalog hasFormat "Estimating eigenvalues with a posteriori/a priori inequalities.".
- catalog identifier "0273086995".
- catalog isFormatOf "Estimating eigenvalues with a posteriori/a priori inequalities.".
- catalog isPartOf "Pitman research notes in mathematics series ; 135.".
- catalog isPartOf "Research notes in mathematics ; v. 135".
- catalog issued "1985".
- catalog issued "1985.".
- catalog language "eng".
- catalog publisher "Boston : Pitman Advanced Pub. Program,".
- catalog relation "Estimating eigenvalues with a posteriori/a priori inequalities.".
- catalog subject "Eigenvalues.".
- catalog subject "Inequalities (Mathematics)".
- catalog subject "Operator equations Numerical solutions.".
- catalog subject "QA193".
- catalog tableOfContents "Introduction -- A posteriori and A priori inequalities -- Applying the method of A posteriori-A priori inequalities -- Membrane problems -- Eigenvalues in the boundary conditions -- Plate problems -- Appendix A: 1. Lower bounds for Dirichlet eigenvalues -- 2. Some formulas for Legendre polynomials -- 3. Lower bounds for the "Neumann" eigenvalues -- 4. Bounds for the sloshing problem -- 5. The A priori inequality for the clamped plate -- 6. The A priori inequality for Orthotropic plates -- 7. The A priori inequality for the variable thickness plate -- 8. A priori inequalities for cantilever plates and elastic organ pipes.".
- catalog title "Estimating eigenvalues with a posteriori/a priori inequalities / J.R. Kuttler & V.G. Sigillito.".
- catalog type "text".