A graphical tool for driving the parallel computation of pseudosprectra
ICS '01 Proceedings of the 15th international conference on Supercomputing
Numerical study of quantum resonances in chaotic scattering
Journal of Computational Physics
Discrete approximation of unbounded operators and approximation of their spectra
Journal of Approximation Theory
Parallel Computation of Pseudospectra Using Transfer Functions on a MATLAB-MPI Cluster Platform
Proceedings of the 9th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
Linearized pipe flow to Reynolds number 107
Journal of Computational Physics
The spectra of large Toeplitz band matrices with a randomly perturbed entry
Mathematics of Computation
High accuracy periodic solutions to the Sivashinsky equation
Journal of Computational Physics
Spectral Versus Pseudospectral Solutions of the Wave Equation by Waveform Relaxation Methods
Journal of Scientific Computing
A pseudospectral mapping theorem
Mathematics of Computation
On Symplectic and Multisymplectic Schemes for the KdV Equation
Journal of Scientific Computing
The quadratic eigenvalue problem in electric power systems
Automation and Remote Control
Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ
Space/time multigrid for a fluid--structure-interaction problem
Applied Numerical Mathematics
A Standard and Software for Numerical Metadata
ACM Transactions on Mathematical Software (TOMS)
Applied Numerical Mathematics
Automatica (Journal of IFAC)
FAST-EVP: an engine simulation tool
HPCC'05 Proceedings of the First international conference on High Performance Computing and Communications
Technical Communique: Upper bounds for the solution of the discrete algebraic Lyapunov equation
Automatica (Journal of IFAC)
An improved grid method for the computation of the pseudospectra of matrix polynomials
Mathematical and Computer Modelling: An International Journal
Renorming for stability and approximation of linear systems: Examples
Mathematical and Computer Modelling: An International Journal
Applied Numerical Mathematics
Mathematics and Computers in Simulation
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If a matrix or linear operator A is far from normal, its eigenvalues or, more generally, its spectrum may have little to do with its behavior as measured by quantities such as ||An|| or ||exp(tA)||. More may be learned by examining the sets in the complex plane known as the pseudospectra of A, defined by level curves of the norm of the resolvent, ||(zI - A)-1||. Five years ago, the author published a paper that presented computed pseudospectra of thirteen highly nonnormal matrices arising in various applications. Since that time, analogous computations have been carried out for differential and integral operators. This paper, a companion to the earlier one, presents ten examples, each chosen to illustrate one or more mathematical or physical principles.