Abstracts

Electronic Submision of Abstracts Abstracts may be submitted electronically. Note that a link to a submitted abstract will appear on these pages in due course. Index of Abstracts alphabetical, by author. Numerical Validation of Solutions of Linear and Nonlinear Complementarity Problems (G. E. Alefeld) Numerical Analysis of Dilation Analytic Resonances (Dr A Aslanyan) Computing Singular Sturm-Liouville Eigenvalues with Verifiable Accuracy (P.B. Bailey) Relative Lehman Boounds for Restricted Eigenvalue Problems (C. Beattie) Bounds for eigenvalues of selfadjoint problems using finite elements (H. Behnke & U. Mertins) A Uniqueness Theorem in Inverse Spectral Theory (C. Bennewitz) The Sampling Method (A. Boumenir) Enclosures for solutions of nonlinear boundary value problems by spectral numerical methods (B.Breuer and M. Plum) Is there a failure of the inverse function theorem? (H. Brezis) Non-linear spectra for the blow-up profiles of the nonlinear Schrodinger equation (C. Budd) On the Positivity of Relativistic One-Electron Atoms Hamiltonian of Brown and Ravenhall (V.I. Burenkov) Spectral Pathologies of Non-Self-Adjoint Operators (E.B. Davies) Spectral Concentration and Resonances for Sturm-Liouville Problems (M. S. P. Eastham). The SLEIGN2 code: mathematical analysis and numerical analysis (W.N. Everitt) Stokes phenomenon and the absolutely continuous spectrum of one-dimensional Schroedinger operators (D.J.Gilbert and A.D.Wood) Nonselfadjoint Boundary-Eigenvalue Problems (L. Greenberg) On Recovering a Potential from a Finite Number of Scattering Data (G. Gudmunsdottir) Spectral properties of high-contrast periodic media (R. Hempel) Perturbation Theory for Ordinary Differential Equations (D. Hinton) Counting eigenvalues in spectral gaps (A.M. Hinz) An Optimal Domain Decomposition Preconditioner for Elliptic PDEs (P. Jimack) The Faber Krahn Inequality and Extensions to Operators of Fourth Order (B Kawohl). Computation of Multiple Parameters in Porous Media Problems (I. Knowles) A new version of the Frohlich -- Spencer coupling lemma (T. Kriecherbauer) Inverse Boundary Problems for Acoustic and Heat Equations (Moments' Method) (Y. V. Kurylev) Spectral Properties of a $\lambda$-Rational Sturm-Liouville Problem (H. Langer) Commutators, Spectral Trace Identities, and Applications (M.Levitin) A General Left-Definite Theory with Applications to Differential Equations (L. Littlejohn) Verified Computation of Bounds for Special Functions by Use of Generating Function (R. Lohner) Multiple solutions of a nonlinear elliptic boundary value problem: a compuiter aided proof (J. McKenna) Solving the biharmonic eigenproblem by the finite element method (M.D. Mihajlovic) Verified numerical computations for eigenvalues of non-commutative harmonic oscillators (K. Nagatou) A Numerical verification method for eigenvalue problems of second-order elliptic operators (M.T. Nakao) Computation of spectrum of laplacians on fractal objects (J.W. Neuberger) Stability Criteria for the Weyl m-Function (D.B.Pearson) Spectral Enclosures for the Orr-Sommerfeld Equation (M. Plum and J. Lahmann) Bifurcation from the Fu\v{c}ik-spectrum (W. Reichel) Approximation and Inclusion of Multiple Matrix-Eigenvalues (S.M. Rump) Welsh Eigenvalues (K.M. Schmidt) On the Positivity of the Energy of the Relativistic Electron-Positron Field (H. Siedentop) On spectra of periodic operators (A. Sobolev) Inverse scattering and applications to one-dimensional random operators (G. Stolz) An Adaptive Numerical Integration Algorithm with Automatic Result Verification (U. Storck) A Naturally Efficient Numerical Technique for Porous Convection Stability with Non-trivial Boundary Conditions (B. Straughan) On $\lambda$--nonlinear boundary eigenvalue problems (C. Tretter) The Behaviour of the Finite Precision Lanczos Algorithm (J.M. Zemke) A computationally assisted proof of the existence of eigenvalues below the essential spectrum (A. Zettl)

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