Now showing items 1-5 of 5

    • Eigenmodes of Isospectral Drums 

      Driscoll, Tobin A. (Cornell University, 1995-05)
      Recently it was proved that there exist nonisomeric planar regions that have identical Laplace spectra. That is, one cannot "hear the shape of a drum." All known examples of such regions are bounded by polygons with reentrant ...
    • Matrix Iterations: The Six Gaps Between Potential Theory and Convergence 

      Driscoll, Tobin A.; Toh, Kim-Chuan; Trefethen, Lloyd N. (Cornell University, 1996-06)
      The theory of the convergence of Krylov subspace iterations for linear systems of equations (conjugate gradients, biconjugate gradients, GMRES, QMR, Bi-CGSTAB, ...) is reviewed. For a computation of this kind, an estimated ...
    • A New Direction in Hydrodynamic Stability: Beyond Eigenvalues 

      Trefethen, Lloyd N.; Trefethen, Anne E.; Reddy, Satish C.; Driscoll, Tobin A. (Cornell University, 1992-12)
      Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by linearizing the equations of flow and looking for unstable ...
    • Pseudospectra of the Wave Operator with an Absorbing Boundary 

      Driscoll, Tobin A.; Trefethen, Lloyd N. (Cornell University, 1993-10)
      For systems which can be described by u(sub t) = Au with a highly non-normal matrix or operator A, the spectrum of A may describe the behavior of the system poorly. One such operator arises from the one-dimensional wave ...
    • Schwarz-Christoffel Toolbox User's Guide 

      Driscoll, Tobin A. (Cornell University, 1994-05)
      The Scwarz-Christoffel Toolbox (SC Toolbox) is a collection of files for the interactive computation and visualization of Schwarz-Christoffel conformal maps in MATLAB version 4. The toolbox is a descendant of SCPACK, a ...