IPNet Digest Volume 4, Number 03 March 31, 1997 Today's Editor: Patricia K. Lamm Michigan State University Today's Topics: Research Summary: Inverse Problems & Complex Processes Analysis Announcement: Freeware for Inverse Thermal Conductivity Problem Report: IMA Workshop on Computational Radiology and Imaging Research Query: Regularity for the Norton Hoff Equation Table of Contents: Inverse Problems Table of Contents: SIAM J. Matrix Analysis and Applications Table of Contents: SIAM J. Numerical Analysis Table of Contents: SIAM J. Control and Optimization Table of Contents: J. Math. Systems, Estimation, and Control Submissions for IPNet Digest: Mail to ipnet-digest@math.msu.edu Information about IPNet: Mail to ipnet-request@math.msu.edu http://www.mth.msu.edu/ipnet ------------------------------ From: Romanovski Subject: Inverse Problems Technique for Complex Processes Analysis Date: Fri, 14 Mar 1997 Subject: Inverse Problems Technique for the Complex Processes Analysis Dear colleagues! I carried out some investigation on inverse problems. There are 4 parts of this research: 1. Uniqueness of inverse problems solution 2. Identification errors and experimental design for inverse problems 3. Numerical aspects of inverse problems solution (stability and optimal regularization) 4. Processes analysis with unknown adequate mathematical models I should like to describe the main purpose and results of this investigation. The goal of part 1 is a substantiation of informatibilities increasing for experimental data processing. Questions, which give attention: 1.1. How much information can be extracted from experimental observations? 1.2. Which uniqueness violations are possible at inverse problems solution? 1.3. Whether there can exist experiments that not enabling to identify unknowns at any observation volume and beforehand given measurements accuracy? 1.4. Which experiments and observations conditions guarantee simultaneous identification of several unknown model parameters and functions? 1.5. Are possible simultaneous identification of a heat transfer coefficient and an ambient temperature from temperature measurements inside solid? Other parts will be describe at the following digests. For everybody who are interested in receiving the answers on these questions please contact with me via e-mail. I should like to send the summary and papers. Best regards Mikhail Romanovski pointltd@glas.apc.org ------------------------------ From: "Aleksey K. Alekseev" Subject: Direct and Inverse Thermal Conductivity Problem - Freeware Date: Thu, 27 Mar 97 Dear Sirs! We have freeware program HeatCad v. 2.01. It is nonsteady spatially two-dimensional finite difference solver coupled with optimization codes and assigned for direct and inverse thermal conductivity problems. You can obtain it by e-mail request (Aleksey@aleks.msk.ru) Sincerely yours A. Alekseev ------------------------------ From: IPNet Subject: IMA Workshop on Computational Radiology, Imaging Date: Wed, 26 Mar 1997 Report on the Winter 1997 IMA Workshop on Computational Radiology and Imaging: Therapy and Diagnosis at the Institute for Mathematics and Its Applications University of Minnesota March 17-21, 1997 Organizers: Christoph Borgers (Tufts University) and Frank Natterer (Univ. of Muenster, Germany) The IMA workshop on "Computational Radiology and Imaging: Therapy and Diagnosis" brought together mathematicians, engineers, computer scientists, and medical physicists, in order to further communication on a wide-range of important subjects. The following appeared in the workshop announcement: Radiation is used in medicine for both diagnostics (for instance, tomography) and therapy (for instance, radiation treatment of cancer). These applications lead to hard computational and mathematical problems. From a mathematical point of view, many of these are related to differential or integro-differential equations. As an example, Boltzmann transport equations underlie the modeling of optical tomography and radiotherapy planning. Typically, inverse problems are the ones of ultimate interest, but even the forward problems are often quite difficult computationally. The workshop brings together Applied Mathematicians, Numerical Analysts, Nuclear Engineers, and Medical Physicists working on different aspects of these and related problems, including subjects such as X-ray tomography and magnetic resonance imaging. One of the main purposes of the workshop is to improve communication between different groups of researchers working on different aspects of the same problems, sometimes without even knowing about each others' existence. There will therefore be a substantial number of expository talks aimed at non-specialists. The following talks were on the workshop schedule: Scattered Radiation in Emission Computed Tomography: Accurate Modeling and Optimum Utilization Harrison H. Barrett, University of Arizona Image reconstruction in optical tomography S.R. Arridge, University College London The application of the x-ray transform to 3D conformal radiotherapy with dynamic multileaf collimators Robert Y. Levine, MIT Some Computational Issues in Medical Imaging Gabor Herman, University of Pennsylvania Tomography through the Transport Equation D.S. Anikonov, Acad. Sci. Vladivostok, Russia Bioelectric Field Imaging Problems: Modeling, Computation, and Visualization Christopher R. Johnson, University of Utah Nonlinear Inverse Problems and Emission Tomography Peter Maass, Univ. of Potsdam, Germany New Inverse Problems and Applications of Old Ones Lawrence Shepp, Rutgers Univ. and AT&T Bell Labs Inverse Radiation Treatment Planning -- Theoretical and Implementational Issues Weldon A. Lodwick, Univ. of Colorado at Denver A novel approach to numerical methods in diffuse and acoustical imaging Michael V. Klibanov, Univ. North Carolina at Charlotte Mathematical Problems in Microwave Medical Imaging David L. Colton, Univ. of Delaware Vector Field Tomography Gunnar Sparr, Institute of Technology Lund Some Recent Results in Cone-Beam Tomography Rolf Clack, University of Utah Wavelets and Localised Tomography David F. Walnut, George Mason University 3-D Visualization, Smoothing and Segmentation of Tomogram Data and Applications to Surgery Willi Jaeger, University of Heidelberg Electrical Impedance Imaging David Isaacson, Rensselaer Polytechnic Institute On the Fully Discretized Model for the Inverse Problem in Radiation Therapy Treatment Planning Yair Censor, University of Haifa ------------------------------ From: Nicolas Gomez Subject: About Norton Hoff Date: Tue, 25 Mar 1997 I am working at INRIA (Sophia Antipolis) with J.P. Zolesio on Norton Hoff equation. Do you know some regularity results about the solution? Thanks a lot, Nicolas Gomez Centre de Mathematiques Appliquees (Ecole des Mines de Paris) I.N.R.I.A 2004 Rte Lucioles,06560 Sophia Antipolis, Fr tel(33)0493657947 Nicolas.Gomez@sophia.inria.fr 04 93 65 79 47 ------------------------------ From: Janet Thomas Subject: Inverse Problems contents list Date: Mon, 24 Mar 1997 Inverse Problems April 1997, Vol. 13, Issue 2 Pages: L1-L6, 215-554 Table of Contents LETTER TO THE EDITOR Global minimum principle for one-dimensional inverse scattering with bound states J H Rose PAPERS Photoelastic tomography for three-dimensional flow birefringence studies H Aben and A Puro Soliton asymptotics of the Cauchy problem solution for the Toda lattice A Boutet de Monvel, I Egorova and E Khruslov Direct and inverse scattering problem for a stratified nonreciprocal chiral medium A Boutet de Monvel and D Shepelsky Inverse scattering via Heisenberg's uncertainty principle Y Chen On some inverse problems for a nonlinear transport equation T J Connolly and D J N Wall On a sideways parabolic equation Dinh Nho H\`ao and H-J Reinhardt Inverse vibration problems for finite-element models G M L Gladwell Resolution of seismic waveform inversion: Bayes versus Occam W P Gouveia and J A Scales Schiffer's theorem in inverse scattering theory for periodic structures F Hettlich and A Kirsch Determination of reflector surfaces from near-field scattering data S A Kochengin and V I Oliker Regularized inversion of finitely smoothing Volterra operators: predictor-corrector regularization methods P K Lamm A new regularization scheme for inverse scattering P Lobel, L Blanc-F\'eraud, Ch Pichot and M Barlaud Bilinear form and solutions of the $k$-constrained Kadomtsev-Petviashvili hierarchy I Loris and R Willox Application of the isomonodromy deformation method to the fourth Painlev\'e equation A E Milne, P A Clarkson and A P Bassom Projected Landweber method and preconditioning M Piana and M Bertero Application of the projected Landweber method to the estimation of the source time function in seismology M Bertero, D Bindi, P Boccacci, M Cattaneo, C Eva and V Lanza Shape retrieval of an obstacle immersed in shallow water from single frequency farfields using a complete family method C Rozier, D Lesselier, T S Angell and R E Kleinman Explicit method for inverse wave scattering in solids M Tadi Electrical impedance tomography with basis constraints M Vauhkonen, J P Kaipio, E Somersalo and P A Karjalainen A distributed source method for inverse acoustic scattering T S Angell, Xinming Jiang and R E Kleinman INVERSE PROBLEMS NEWSLETTER For further information on Inverse Problems, and all Institute of Physics Publishing journals and electronic products see http://www.iop.org ------------------------------ From: schad@siam.org Subject: SIMAX 18-2 TOC Date: Tue, 04 Mar 97 SIAM J. Matrix Analysis and Applications April 1997, Vol. 18, No. 2 Table of Contents On Parabolic and Elliptic Spectral Dichotomy A. N. Malyshev and M. Sadkane Least-Squares Approximate Solution of Overdetermined Sylvester Equations A. Scottedward Hodel and Pradeep Misra Efficient Solution of Linearly Coupled Lyapunov Equations Emmanuel G. Collins Jr. and A. Scottedward Hodel Some Improvement of Oppenheim's Inequality for M-Matrices Jianzhou Liu and Li Zhu Homotopy Method for the Large, Sparse, Real Nonsymmetric Eigenvalue Problem S. H. Lui, H. B. Keller, and T. W. C. Kwok Norms and Inequalities Related to Schur Products of Rectangular Matrices Wenchao Huang, Chi-Kwong Li, and Hans Schneider Matrix Analysis of a Two-Stage-Splitting Iteration for Maximum Penalized Likelihood Estimation S. Yu, G. A. Latham, and R. S. Anderssen Convergence of Polynomially Bounded Semigroups of Matrices Leonid Gurvits and Leiba Rodman Complete Orthogonal Decomposition for Weighted Least Squares Patricia D. Hough and Stephen A. Vavasis Optimal Backward Perturbation Bounds for Underdetermined Systems Ji-guang Sun and Zheng Sun A Fast Parallel Cholesky Decomposition Algorithm for Tridiagonal Symmetric Matrices Ilan Bar-On, Bruno Codenotti, and Mauro Leoncini A Stabilized QMR Version of Block BICG V. Simoncini Analysis of Augmented Krylov Subspace Methods Yousef Saad On the Complexity of Matrix Balancing B. Kalantari, L. Khachiyan, and A. Shokoufandeh Circulant Preconditioners for Markov-Modulated Poisson Processes and Their Applications to Manufacturing Systems Wai Ki Ching, Raymond H. Chan, and Xun Yu Zhou Quasi Lumpability, Lower-Bounding Coupling Matrices, and Nearly Completely Decomposable Markov Chains Tugrul Dayar and William J. Stewart Probabilistic Analysis of Gaussian Elimination without Pivoting Man-Chung Yeung and Tony F. Chan Erratum: Comments on Normal Toeplitz Matrices by Farenick et al. Khakim D. Ikramov List of Referees ------------------------------ From: tschoban@siam.org Subject: SINUM 34-2 Table of Contents Date: Wed, 05 Mar 97 SIAM J. Numerical Analysis April 1997, Volume 34, Number 2 Table of Contents First-Order System Least Squares for Second-Order Partial Differential Equations: Part II Zhiqiang Cai, Thomas A. Manteuffel, and Stephen F. McCormick Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part II: Error Estimates for Equilibrium Adsorption Processes John W. Barrett and Peter Knabner Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation C. L. Chang and John J. Nelson Convergence Past Singularities for a Fully Discrete Approximation of Curvature-Driven Interfaces Ricardo H. Nochetto and Claudio Verdi A Note on the Superlinear Convergence of GMRES Igor Moret On Converse and Saturation Results for Tikhonov Regularization of Linear Ill-Posed Problems Andreas Neubauer Unconditional Contractivity in the Maximum Norm of Diagonally Split Runge-Kutta Methods A. Bellen and L. Torelli An hp Error Analysis of MITC Plate Elements Rolf Stenberg and Manil Suri Fitting Monotone Surfaces to Scattered Data Using C1 Piecewise Cubics Lu Han and Larry L. Schumaker Cubature Rules of Prescribed Merit J. N. Lyness and I. H. Sloan A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change Alain Bamberger, Roland Glowinski, and Quang Huy Tran Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity Zhimin Zhang Three-Dimensional Finite Element Methods for the Stokes Problem Daniele Boffi A New Theoretical Approach to Absorbing Layers Patrick Joly and Jukka Tuomela Schwarz Methods: To Symmetrize or Not to Symmetrize Michael Holst and Stefan Vandewalle Analysis of the Spatial Error for a Class of Finite Difference Methods for Viscous Incompressible Flow Brian R. Wetton Does Error Control Suppress Spuriosity? Mark A. Aves, David F. Griffiths, and Desmond J. Higham Characteristic Galerkin Schemes for Scalar Conservation Laws in Two and Three Space Dimensions Peixiong Lin, K. W. Morton, and E. Suli Solving Polynomial Systems Using a Branch and Prune Approach Pascal Van Hentenryck, David McAllester, and Deepak Kapur Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences Todd Arbogast, Mary F. Wheeler, and Ivan Yotov Erratum: Quadrature Error Bounds with Applications to Lattice Rules Fred J. Hickernell ------------------------------ From: thomas@siam.org Subject: SICON 35-3 table of contents Date: Thu, 20 Mar 97 SIAM J. Control and Optimization May 1997 Vol. 35, No. 3 Table of Contents Asymptotically Efficient Adaptive Choice of Control Laws in Controlled Markov Chains Todd L. Graves and Tze Leung Lai Block Triangular Decoupling for Linear Systems over Principal Ideal Domains Naoharu Ito and Hiroshi Inaba Configuration Controllability of Simple Mechanical Control Systems Andrew D. Lewis and Richard M. Murray Weighted Sensitivity Minimization for Causal, Linear, Discrete Time-Varying Systems Michel Verhaegen Output-Induced Subspaces, Invariant Directions, and Interpolation in Linear Discrete-Time Stochastic Systems Anders Lindquist and Gyorgy Michaletzky On the Puiseux Series Expansion of the Limit Discount Equation of Stochastic Games W. W. Szczechla, S. A. Connell, J. A. Filar, and O. J. Vrieze Constrained Regular LQ-Control Problems G. Stefani and P. Zezza Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction Wang-Sang Koon and Jerrold E. Marsden Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints Aram V. Arutyunov and Sergei M. Aseev Generalized Controlled Invariance for Nonlinear Systems H. J. C. Huijberts, C. H. Moog, and R. Andiarti Finite-Dimensional Filters. Part I: The Wei-Norman Technique M. Cohen de Lara Finite-Dimensional Filters. Part II: Invariance Group Techniques M. Cohen de Lara Optimization of Observations: A Stochastic Control Approach Boris M. Miller and Wolfgang J. Runggaldier State Maps for Linear Systems Paolo Rapisarda and J. C. Willems ------------------------------ From: hyman@birkhauser.com (Elizabeth Hyman) Subject: JMSEC TOC Date: Tue, 11 Mar 1997 J. Mathematical Systems, Estimation, and Control Vol. 7, No. 2, 1997 Table of Contents Submitted by Edwin Beschler Globally Convergent Homotopy Algorithms for the Combined H2/H(infinity) Model Reduction Problem Yuzhen Ge, Layne T. Watson, Emmanuel G. Collins, Jr., Dennis S. Bernstein Numerical Recovery of Material Parameters in Euler-Bernoulli Beam Models Ralph C. Smith, Kenneth L. Bowers, and Curtis R. Vogel A Parametrization of the Minimal Square Spectral Factors of a Nonrational Spectral Density Augusto Ferrante Summary: A Sliding Horizon Feedback Control Problem with Feedforward and Disturbance William N. Patten and Luther W. White Summary: Estimates of the Rate of Convergence for Distributed Parameter Identification in Linear Parabolic Problems Tommi Karkkainen Summary: Control Lyapunov Functions, Input-to-State Stability and Applications to Global Feedback Stabilization for Composite Systems J. Tsinias Summary: Frequency Domain Criteria for Hurwitz Stability of Generalized Disc Polynomials C.B. Soh Elizabeth Hyman Journal Production Editor Tel: (617) 876-2333 ext. 334 Fax: (617) 876-1272 ------- end -------