IPNet Digest Volume 2, Number 01 January 16, 1995 Today's Editor: Patricia K. Lamm Michigan State University Today's Topics: Meeting: Inverse Problems in Engineering Seminar New Book: Inverse Problems in the Mechanics of Materials Question: What is the Inverse Heat Conduction Problem? Table of Contents: Journal of Math. Systems, Estimation, and Control Table of Contents: SIAM Journal on Control and Optimization Table of Contents: SIAM Journal on Mathematical Analysis Table of Contents: SIAM Journal of Optimization Table of Contents: SIAM Journal on Applied Mathematics Table of Contents: SIAM Journal on Numerical Analysis Table of Contents: Advances in Computational Mathematics Table of Contents: Linear Algebra and Its Applications Submissions for IPNet Digest: Mail to ipnet-digest@math.msu.edu Information about IPNet: Mail to ipnet-request@math.msu.edu ------------------------------ From: "Hank Busby" Subject: Inverse Problems in Engineering Seminar Date: Thu, 15 Dec 94 The Seventh Inverse Problems in Engineering Seminar Monday, June 12 -- Tuesday, June 13, 1995 Columbus, OH 43210-1107 Call for Papers The Seventh Inverse Problems in Engineering Seminar is being organized by the Department of Mechanical Engineering and the Department of Mathematics at The Ohio State University. This event is the continuation of the informal seminars which were initiated at Michigan State University in 1987. This seminar will be sponsored by the Department of Mechanical Engineering, Department of Mathematics , Gear Dynamics and Gear Noise Research and Gear Dynamics Laboratory, College of Mathematics and Physical Science, and the College of Engineering at the The Ohio State University. Papers are solicited from all areas involving inverse methods and their applications. Four broad categories are being used to organize sessions. These categories, with some subtopics delineated, are: 1. Inverse Problems in Heat Transfer (Inverse Heat Conduction, Thermal Property Estimation) 2. Mathematical Aspects of and Techniques for Inverse Problems (Inverse Theory and Methods, Stability Considerations) 3. Design of Experiments and Applications of Inverse Methods (Optimal Experiment Design, Analysis of Actual Experimental Data) 4. Inverse Problems Exclusive of Heat Transfer (Bio-Engineering Inverse Problems, Shape Optimization, Inversion of Inferometric Data, Inverse Scattering and Tomography) Presentations will be informal twenty minute talks, supported by transparencies or slides, and followed by discussion. If the number of submissions warrants additional program time, a poster session will be included. Please submit a tentative title and an abstract by February 15, 1994 . The seminar fee is $65. Send titles and abstracts or other inquiries to either Co-Chairs: Co-Chair: Dr. Henry R. Busby Co-Chair: Dr. Lijia Guo The Ohio State University The Ohio State University Department of Mechanical Engineering Department of Mathematics 206 West 18 th Ave. 100 Math Bldg 231 West 18 th Ave Columbus, OH 43210-1107 Columbus, OH 43210 Phone(614) 292-4917 Phone(614) 292-5751 FAX: (614) 292-3163 FAX: (614) 292-1479 busby.2@osu.edu guo.20@osu.edu ------------------------------ From: Andrei Constantinescu Subject: Book Annoucement Date: Tue, 3 Jan 1995 Book Announcement Inverse Problems in the Mechanics of Materials: an Introduction by H.D.BUI (Ecole Polytechnique, Palaiseau, France) Published by CRC Press, Boca Raton (June 1994), 244pp. Catalog No. 8471MYX ISBN:0-8493-8471-0 Abstract Inverse Problems in the Mechanics of Materials concentates on two timely subjects: ill-posed inverse problems related to defect identification; and the mechanics of homogenous and heterogenous media, including such topics as cracked bodies, solids with interface or inclusions, and materials rendered inhomogenous by irreversible deformation due to their thermomechanical history. These intriguing subjects are not found together in previous publications. Written in an unique easy-to-read format, Inverse Problems in the Mechanics of Materials provides quick access to current information. It includes up-to-date refence and many recent results, particularly in such classical subjects as elasticity, plasticity and fracture mechanics. The reader discovers numerous recipes for solving inverse problems, and reviews of avaible methods provide applications to real-life problems in industry Contents Elasticity and Plasticity Fracture and Damage Conservation Laws Dynamic Fracture Inverse Problems in Vibrations Diffraction of Elastic Waves Diffraction of Acoustic Waves Tomography Microgravimetry Identification of Materials Residual Stresses Appendices Regularization of Ill-Posed Problems Laplacian Inverse Problems Optimal Control Theory in Mechanics ------------------------------ From: (Dr. James Beck) Sender: beck@egr.msu.edu Subject: Question Date: Mon, 9 Jan 95 WHAT IS THE INVERSE HEAT CONDUCTION PROBLEM? There is apparently some disagreement regarding what the inverse heat conduction problem (IHCP) is. One definition is the determination of the surface heat flux (or temperature) from measured transient temperatures inside a heat conducting body. In this definition the initial temperature distribution is considered known. Another definition estimates the surface heat flux from transient measured interior temperatures and simultaneously the initial temperature distribution. I would appreciate receiving messages regarding which definition that you use and if it makes a difference. If you have a different definition, I would appreciate learning about it. COMMENTS The Burggraf and other exact solutions for the linear IHCP show that the solution does not depend upon the initial condition. See Beck, Blackwell and St. Clair for the Burggraf analysis or Murio (The Mollification Method ...., Wiley-Interscience, 1993 ) for the reference and related discussion. This behavior is also shown by many linear methods including function specification, Tikhonov regularization (whether or not the adjoint equations are used with conjugate gradients,provided the unique minimum for the given objective function is found), mollification and space marching. This is only for linear problems. Another stipulation is that the calculations start a significant time before the heating/cooling starts. For all of the above cases the solution must be linear and can be investigated by having a single error at a given time. This then leads to a filter algorithm of the form of q(M) = sum i from M -m1 to M +m2 of f(M-i)Y(i). The f(j) values are the filter coefficients for a single unit error at any time (except near the beginning or the end). The Y(i) values are the measured temperatures. (Beck, Blackwell and St. Clair, p. 197). This equation says that the estimates are independent of the initial conditions and that one can find the values at any time without finding previous or subsequent values. The difference between the methods is the contained in the precise form of f(i). For a finite body which is heated at x= 0 and insulated at x = L, the above is true. It may be more general. I welcome any comments. My E-mail address is beck@egr.msu.edu. ------------------------------ From: Edwin F. Beschler Subject: J. Math. Systems, Estimation, and Control Date: Fri, 9 Dec 1994 Journal of Mathematical Systems, Estimation, and Control Volume 5, No. 1 Table of Contents Nonlinear Feedback Control of Flexible Robot Arms with Infinite Dimensional Models X. Ding, T.-J. Tarn, A. K. Bejczy, C. Guo Empirical Distributions in Least Squares Estimation for Distributed Parameter Systems B.G. Fitzpatrick and G. Yin The Extended Kalman Filter as a Local Asymptotic Observer for Discrete-Time Nonlinear Systems Yongkyu Song and Jessy W. Grizzle L Sensitivity Minimization of Linear System Representations via Gradient Flows U. Helmke and J.B. Moore Summary: Limit Theorems of Probability Theory in Linear Controlled Evolution Systems with Quadratic Cost Bozenna Pasik-Duncan Summary: A Unified Representation for Nonlinear Discrete-Time and Samples Dynamics S. Monaco and D. Normand-Cyrot Summary: The Spaces of Improper Rational Matrices and ARMA-Systems of Fixed McMillan Degree Filippo de Mari and Heide Gl=9Fsing-L=9Fer=A7en Summary: A Modification of the Trust-Region Gauss-Newton Method to Solve Separable Nonlinear Least Squares Problems Christine B=9Ackmann Summary: An Algorithm for Viability Kernels in H=9Alderian Case: Approximation by Discrete Dynamical Systems Marc Quincampoix, Patrick Saint-Pierre Summary: An Observer for Infinite-dimensional Skew-adjoint Bilinear Systems J.P. Gauthier, C.Z. Xu, and A. Bounabat Summary: An Intrinsic Characterization of Properness for Linear Time-varying Systems E. Delaleau and J. Rudolph Summary: On Abnormal Extremals for Lagrange Variational Problems A.A. Agrachev and A.V. Sarychev Summary: Linear Quadratic Optimal Control of Time-Varying Systems with Indefinite Costs on Hilbert Spaces: The Finite Horizon Problem Birgit Jacob Summary: Realization of Rational Matrices by Singular Systems Heide Gl=9Fsing-L=9Fer=A7en Errata Summary: Singular Perturbation for Controlled Wave Equations Francesca Bucci [Note: Control characters (=9, etc.) are as received. -Ed.] ------------------------------ From: thomas@siam.org Subject: SICON 33-2 Date: Wed, 04 Jan 95 SIAM Journal on Control and Optimization MARCH 1995 Volume 33, Number 2 CONTENTS Jack Warga: In Appreciation H^infinity Optimal Sensitivity for a Class of Infinite-Dimensional Systems Hong Yang Zeros of Spectral Factors, the Geometry of Splitting Subspaces, and the Algebraic Riccati Inequality A. Lindquist, G. Michaletzky, G. Picci A Globally Convergent Successive Approximation Method for Severely Nonsmooth Equations Liqun Qi and Xiaojun Chen Optimal Supervisory Control of Discrete Event Dynamical Systems Ratnesh Kumar and Vijay K. Garg Uniform Stabilization of a Hybrid System of Elasticity Bopeng Rao System Equivalence for Periodic Models and Systems Osvaldo M. Grasselli, Sauro Longhi, and Antonio Tornambe Supervisory Control of Nondeterministic Systems with Driven Events via Prioritized Synchronization and Trajectory Models M. A. Shayman, R. Kumar Risk-Sensitive Production Planning of Stochastic Manufacturing Systems: A Singular Perturbation Approach Qing Zhang Multilevel Hierarchical Decision Making in Stochastic Marketing-Production Systems S. P. Sethi and Qing Zhang On Bang-Bang Constrained Solutions of a Control System Raphael Cerf and Carlo Mariconda Dealing with Integral State Constraints in Boundary Control Problems of Quasilinear Elliptic Equations Eduardo Casas and Luis A. Fernandez The Stochastic Maximum Principle for Linear, Convex Optimal Control with Random Coefficients Abel Cadenillas and Ioannis Karatzas Persistency of Excitation in Identification Using Radial Basis Function Approximants A. J. Kurdila, Francis J. Narcowich, Joseph D. Ward Maximizing Robustness in Nonlinear Illposed Inverse Problems Kazufumi Ito and Karl Kunisch Corrigendum: Lagrange Multipliers in Stochastic Programming Sjur Didrik Flam ------------------------------ From: young@siam.org Subject: SIAM J. Math. Anal., Vol. 26, No. 3, Contents Date: Fri, 13 Jan 95 SIAM Journal on Mathematical Analysis MAY 1995 Volume 26, Number 3 CONTENTS Nonlinear Stability of Strong Detonations for a Viscous Combustion Model Tai-Ping Liu and Long-An Ying Approximation pres du Temps D'Explosion des Solutions d'Equations d'Onde Quasi-Lineaires en Dimension Deux Serge Alinhac Instability of Stationary Bubbles Anne de Bouard Hearing Point Masses in a String Robert Carlson Eigenvalues of the Far Field Operator and Inverse Scattering Theory David Colton and Rainer Kress The Inverse Eigenvalue Problem with Finite Data for Partial Differential Equations David C. Barnes and Roger Knobel Free Boundary Problems for Potential and Stokes Flows Via Nonsmooth Analysis Srdjan Stojanovic and Thomas Svobodny Analysis of a One-Dimensional Model for Compressible Miscible Displacement in Porous Media Youcef Amirat and Mohand Moussaoui On Asymptotic Self-Similar Behaviour for a Quasilinear Heat Equation: Single Point Blow-Up Victor A. Galaktionov Two-Phase Stefan Problem with Supercooling I. G. Goetzk, B. Zaltzman New Uniqueness Theorems for the One-Dimensional Drift-Diffusion Semiconductor Device Equations Fatiha Alabau Local Regularity of the One-Dimensional Motion of a Viscoelastic Medium Jong Uhn Kim Oscillations of Solutions to the Two-Dimensional Broadwell Model, an H-Measure Approach Robert Peszek Families of Two-Point Pade Approximants and Some $_{4}F_{3}(1)$ Identities Jet Wimp and Bernhard Beckermann ------------------------------ From: nelson@siam.org Subject: SIAM J. OF OPTIMIZATION, NO.5,VOL.1 Date: Tue, 20 Dec 94 Siam J. of Optimization, No. 5, Vol. 1, February 1995 TABLE OF CONTENTS Why a Pure Primal Newton Barrier Step may be Infeasible Margaret H. Wright Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization Farid Alizadeh Infeasible-Interior-Point Primal-Dual Potential-Reduction Algorithms for Linear Programming Shinji Mizuno, Masakazu Kojima, and Michael J. Todd A Fast Heuristic Method for Polynomial Moment Problems with Boltzmann-Shannon Entrophy J. M. Borwein and W. Z. Huang Symmetric Quasidefinite Matrices Robert J. Vanderbei On the Primal-Dual Steepest Descent Algorithm for Extended Linear-Quadratic Programming Ciyou Zhu A Positive Algorithm for the Nonlinear Complementarity Problem Renato D. C. Monteiro, Jong-Shi Pang, and Tao Wang Practical Interior-Point Method for Convex Programming Florian Jarre and Michael A. Saunders An All-Inclusive Efficient Region of Updates for Least Change Secant Methods Henry Wolkowicz and Qing Zhao An Optimal Positive Definite Update for Sparse Hessian Matrices R. Fletcher Trust Region Algorithms for Solving Nonsmooth Equations Liqun Qi ------------------------------ From: thomas@siam.org Subject: SIAP 55-2 Date: Mon, 19 Dec 94 SIAM Journal on Applied Mathematics APRIL 1995 Volume 55, Number 2 CONTENTS Biography of Joseph B. Keller Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation Marcus J. Grote and Joseph B. Keller Instability of Rapidly Rotating Polytropes N. J. Balmforth, L. N. Howard, and E. A. Spiegel Shock Layer Movement for Burgers' Equation Jacques G. L. Laforgue and Robert E. O'Malley, Jr. Shock Formation in a Multidimensional Viscoelastic Diffusive System Donald S. Cohen, Andrew B. White, Jr., and Thomas P. Witelski On-Surface Conditions for Structural Acoustic Interactions in Moving Media Lu Ting Asymptotic Evaluation of Integrals Related to Time-Dependent Fields Near Caustics Robert Burridge Limit Process Expansions and Homogenization Julian D. Cole Internal Layers, Small Eigenvalues, and the Sensitivity of Metastable Motion Michael J. Ward and Luis G. Reyna Weakly Nonlinear Waves for a Class of Linearly Unstable Hyperbolic Conservation Laws with Source Terms J. Kevorkian, J. Yu, and L. Wang Mean Field Effects for Counterpropagating Traveling Wave Solutions of Reaction-Diffusion Systems A. J. Bernoff, R. Kuske, B. J. Matkowsky,V. Volpert High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems Slimane Adjerid, Mohammed Aiffa, and Joseph E. Flaherty Singular Perturbation Solutions of Noisy Systems Frank C. Hoppensteadt Turbulent Baker's Maps Stephen Childress A Theory of Sustainable Harvesting Donald Ludwig ------------------------------ From: tschoban@siam.org Subject: SINUM 32-1 Table of Contents Date: Mon, 12 Dec 94 SIAM Journal on Numerical Analysis FEBRUARY 1995, Volume 32, Number 1 CONTENTS A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations Donald Estep The Potential for Parallelism in Runge-Kutta Methods. Part 1: RK Formulas in Standard Form K. R. Jackson and S. P. Norsett Accurate Discretization for Singular Perturbations: The One-Dimensional Case X. C. Hu, T. A. Manteuffel, S. McCormick, and T. F. Russell Error Bounds for Fractional Step Methods for Conservation Laws with Source Terms Tao Tang and Zhen-Huan Teng A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation S. F. Ashby, P. N. Brown, M. R. Dorr, and A. C. Hindmarsh A Linear Algebraic Development of Diffusion Synthetic Acceleration for Three-Dimensional Transport Equations Peter N. Brown Nonlinear Galerkin Method Using Chebyshev and Legendre Polynomials I. The One-Dimensional Case Jie Shen and Roger Temam An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods Panayot S. Vassilevski and Junping Wang On the Third and Fourth Zolotarev Problems in the Complex Plane M.-P. Istace and J.-P. Thiran W-Methods with Automatic Partitioning by Krylov Techniques for Large Stiff Systems M. Buttner, B. A. Schmitt, and R. Weiner A-Contractivity of Linearly Implicit Multistep Methods Richard J. Charron and Min Hu Numerical Stability and Efficiency of Penalty Algorithms Jean-Pierre Dussault On the Numerical Solution of the Euler-Lagrange Equations Patrick J. Rabier and Werner C. Rheinboldt ------------------------------ From: publish@baltzer.nl (Baltzer Science Publishers) Subject: Advances in Computational Mathematics Date: Thu, 12 Jan 1995 Advances in Computational Mathematics Contents Volume 2, No. III, 1994 A parallel implementation of the restarted GMRES iterative algorithm for nonsymmetric systems of linear equations R. Dias da Cunha and T. Hopkins Time-marching numerical schemes for the electric field integral equation on a straight thin wire P.J. Davies and D.B. Duncan Acceleration property for the E-algorithm and an application to the summation of series M. Privost Hankel operators and best Hankel approximation on the half-plane X. Li Contents Volume 2, No.IV, 1994 Parallel globally adaptive quadrature on the KSR-1 J.M. Bull and T.L. Freeman A planar minimax algorithm for analysis of co-ordinate measurements D. Zwick The solution of orthogonal Procrustes problems for a family of orthogonally invariant norms G.A. Watson Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability E.H. Twizell, A. Boutayeb and K. Djidjeli Convexity of parametric Bezier surfaces in terms of Gaussian curvature signatures Z. Cheng and C.K. Chui A general extrapolation procedure revisited C. Brezinski and M. Redivo-Zaglia On local and global sigma-pi neural networks. A common link B. Lenze Contents Volume 3, No. I-II, 1995 Two-scale symbol and autocorrelation symbol for B-splines with multiple knots G. Plonka Perturbed collocation and symplectic RKN methods G. Ramaswami An algebraic approach to approximate evaluation of a polynomial on a set of real points V.Y. Pan An introduction to second degree forms P. Maroni A unified approach to B-spline recursions and knot insertion, with application to new recursion formulas G. Walz A mixed finite element for the Stokes problem using quadrilateral elements M. Farhloul and M. Fortin Evaluation of a boundary integral representation for the conformal mapping of the unit disk onto a simply-connected domain S.N. Chandler-Wilde, J. Levesley and D.M. Hough Characterization of compactly supported refinable splines W. Lawton, S.L. Lee and Z. Shen Curve design with rational Pythagorean-hodograph curves H. Pottmann Submissions of articles and proposals for special issues are to be addressed to the Editor-in-Chief: John C. Mason School of Computing and Mathematics, University of Huddersfield, Queensgate, Hudersfield, HD1 3DH, United Kingdom E-mail: j.c.mason@hud.ac.uk Requests for FREE SPECIMEN copies and orders for Advances in Computational Mathematics are to be sent to: E-mail: publish@baltzer.nl ------------------------------ From: Richard Brualdi Subject: LAA Contents Date: Mon, 16 Jan 1995 LINEAR ALGEBRA and its APPLICATIONS Contents Volume 214 Diagonals of Matrices Stochastically Similar to a Given Matrix David London A Question of Guralnick About Reflexive Algebras Songqing Ding and William H. Gustafson The Finiteness Conjecture for the Generalized Spectral Radius of a Set of Matrices J. C. Lagarias and Y. Wang Contragredient Equivalence: A Canonical Form and Some Applications Roger A. Horn and Dennis I. Merino A Note on the Coefficient of Ergodicity of a Column-Allowable Nonnegative Matrix M. Artzrouni and X. Li Estimating Covariance in a Growth Curve Model Chi Song Wong, Joe Masaro, and Weicai Deng Shape Identities in Genetic Algebras Roberto Costa An Estimate for the Nonstochastic Eigenvalues of Doubly Stochastic Matrices Miroslav Fiedler Caratheodory Sequence Parametrizations of Potapov-Normalized Full-Rank Jq-Elementary Factors B. Fritzsche, B. Kirstein, and V. Krug A Proof of the Generalized Picard's Little Theorem Using Matrices Wayne W. Chen Condition Numbers and Their Condition Numbers Desmond J. Higham Faces of Convex Sets and Minkowski Additive Selections Krzysztof Przeslawski On Minimizing the Largest Eigenvalue of a Symmetric Matrix Michael K. H. Fan and Batool Nekooie Factorization Properties of Lattices Over the Integers Azaria Paz and Mody Lempel Rota's Theorem and Heinz Inequalities Masatoshi Fujii and Ritsuo Nakamoto BOOK REVIEW: Review of Matrices: Methods and Applications, by Stephen Barnett Robert Grone ------- end -------