Preface
Industrial and Applied Mathematics is of growing importance solving real world problems. Advances in these broad fields are manifested by new solution methods and powerful computer algorithms. The International Conferences on Industrial and Applied Mathematics have been established to provide a forum to present recent developments in all areas of applied mathematics, computer science, applied stochastics and optimization and scientific computing. Moreover, the conferences focus attention on the wide range of applications of mathematics in all branches of science and engineering, medicine, economics and other related fields.
The scientific programme of the 3rd International Congress on Industrial and Applied Mathematics (ICIAM 95) held in Hamburg, Germany, July 3-7, 1995, was composed of invited and contributed lectures, minisymposia and poster presentations.
In a separate volume published by Akademie-Verlag the invited lectures and contributions from the invited symposia are collected. In five special issues of ZAMM papers from minisymposia, contributed lectures and poster presentations have been selected, intending to give a record of the material presented during the conference. The following grouping of the papers was chosen:
Supplement 1:
Numerical Analysis, Scientific Computing, Computer Science
edited by G. Alefeld, O. Mahrenholtz and R. Mennicken
Supplement 2:
Applied Analysis
edited by O. Mahrenholtz and R. Mennicken
Supplement 3:
Applied Stochastics and Optimization
edited by O. Mahrenholtz, K. Marti and R. Mennicken
Supplement 4:
Applied Sciences, especially Mechanics - Minisymposia Contributions
edited by E. Kreuzer and O. Mahrenholtz
Supplement 5:
Applied Sciences, especially Mechanics - Contributed Lecture and Poster
Presentations
edited by E. Kreuzer and O. Mahrenholtz
This Supplement 2 contains minisymposia presentations, contributed lectures and poster presentations from applied analysis with special emphasis on applications in a large variety of disciplines. With this collection of papers results from different disciplines are presented to stimulate the mathematical efforts towards a better understanding and handling of problems in industry.
Without the great efforts of many colleagues it would not have been possible
to prepare this volume. We gratefully acknowledge the help of many members
of our staff during the preparation work on the proceedings. We would like to
thank especially Harald Schmid and Volker Hardt for their continuous assistance.
Hamburg and Regensburg, April 1996
Oskar Mahrenholtz
Reinhard Mennicken
Contents
Preface, p. I
Minisymposia, p. 1
High Performance Solution of Structured Linear Systems M 20, p. 1
Amodio, P.; Paprzycki, M.
Recent Advances in the Parallel Solution to Almost Block Diagonal Systems, p. 1
Paprzycki, M.; Stpiczynski, P.
Parallel Solution of Linear Recurrence Systems, p. 5
The Eigenvalue and Inverse Eigenvalue Problems for Second Order Systems M 27, M 47, p. 9
Chu, E.K.-w.; Datta, B.N.
Robust Pole Assignment for Second-Order-Systems, p. 9
Ram, Y.M.; Elhay, S.
Construction of a Quadratic Pencil from Eigenvalues, p. 13
Ruhe, A.
Computing Nonlinear Eigenvalues with Spectral Transformation Arnoldi, p. 17
Modern Applications of Complex Analysis M 10, M 148, p. 21
Begehr, H.
Complex Analytic Methods for Partial Differential Equations, p. 21
Efendiev, M.A.; Begehr, H.
On the Asymptotics of Meromorphic Solutions for Nonlinear Riemann-Hilbert Problem, p. 25
A New Explicit Half-Range Expansion Technique: Construction, Justification, and Applications M 12, p. 29
Sobehart, J.R.; Hagan, P.S.
Determination of Velocity Distribution in Semiconductor Devices via Half-Range Resolution of the Boundary Layers, p. 29
Homogenization Methods and their Applications in Mechanics of Composite Materials and Lattice Structures M 24, p. 33
Charpentier, I.; Saint Jean Paulin, J.
Theoretical and Numerical Study of Thin Reticulated Structures, p. 33
Wavelets and Signal Processing M 138, p. 37
Strang, G.
Eigenvalues of Toepliz Matrices with 
Blocks, p. 37
Sweldens, W.
Wavelets and the Lifting Scheme: A 5 Minute Tour, p. 41
Exponential Asymptotics M 185, p. 45
Wood, A.
Stokes Phenomenon for High Order Differential Equations, p. 45
Integrable Dynamical Systems and Their Applications M 73, M 94, p. 49
Blackmore, D.; Kappraff, J.
Integrable Discrete Dynamics and Fibonacci Sequences, p. 49
Chueshov, I.
On a Description of Long-time Behaviour of Dissipative Perturbations of Infinite Dimensional Hamiltonian Systems, p. 53
Papageorgiou, D.T.; Smyrlis, Y.S.
Computer Assisted Study of Strange Attractors of the Kuramoto-Sivashinsky Equation, p. 57
Singularly-perturbed Dynamical Systems M 75, M 95, M 170, p. 61
Benoît, E.
Asymptotic Expansions of Canards with Poles. Application to the Stationary Unidimensional Schrödinger Equation., p. 61
Marée, G.J.M.
Jump and Transition Phenomena in Second Order Nonlinear Systems, p. 65
Nefedov, N.N.; Schneider, K.R.; Schuppert, A.
Jumping Behavior of the Reaction Rate of Fast Bimolecular Reactions, p. 69
Boundary Variation M 23, p. 73
Aguilar, J.-C.; Zolésio, J.P.
Variational Formulation and Existence of a Hydrodynamical Free Interface, p. 73
Bucur, D.; Zolésio, J.-P.
Existence and Stability of the Optimum in Shape Optimization, p. 77
Delfour, M.; Zolésio, J.-P.
New Intrinsic Models for Shells, p. 81
Desaint, F.; Zolésio, J.-P.
Shape Boundary Derivative of Tangential Boundary Value Problems, p. 85
Dziri, R.; Zolésio, J.-P.
Shape Sensitivity Analysis: An Application to a Free Boundary Problem, p. 89
Guido, Y.; Zolésio, J.-P.
Shape Hessian for a Non Differentiable Variational Free Boundary Problem, p. 93
Interface Dynamics: Singular Perturbation and Geometric Evolutions M 96, p. 97
Schatzmann, M.
Interaction of Standing Waves, p. 97
Vortex Sheet Initial Data for the Incompressible 2-D Euler Equations M 110, M 134, p. 101
Lopes-Filho, M.C.; Nussenzveig Lopes, H.J.
Concentration Sets for 2-D Incompressible Flow, p. 101
Soler, J.
On Uniqueness of Solutions for the 2-D Euler Equations, p. 105
Zheng, Y.
Vlasov-Poisson Systems with Measures as Initial Data, p. 109
Pseudodifferential Equations and Problems of Anisotropic Elasticity M 193, p. 113
Duduchova, R.; Sändig, A.M.; Wendland, W.L.
The Wiener-Hopf Method in Crack and Interface Problems, p. 113
Jaiani, G.V.
Elastic Bodies with Non-smooth Boundaries-Cusped Plates and Shells, p. 117
Kirvalidze, V.
The Dirichlet Problem for the Stokes Equation in a Domain Exterior to an Open Surface, p. 121
Natroshvili, D.
Steady State Oscillation Problems in Anisotropic Elasticity, p. 125
Sigua, L.
Screen Problem for Vector Helmholtz Equation in Non-smooth Domains, p. 129
Solution Structure in Multi-Dimensional Riemann-Problems M 215, p. 133
Canic, S.; Keyfitz, B.L.
A Useful Class of Two-Dimensional Conservation Laws, p. 133
Chen, G.-Q.
Global Entropy Solutions with Geometrical Structure for the Inviscid Compressible Flows in Several Space Variables, p. 137
Lopes-Filho, M.C.; Nussenzveig Lopes, H.J.
Smoots Solutions of Partially Aligned Systems of Conservation Laws, p. 141
Zhang, T.; Zheng, Y.
Explicit and Exact Swirling Solutions of the 2-D Euler Equations, p. 145
Elliptic Equations with Nonlinear Boundary Conditions M 228, p. 149
Efendiev, M.A.
On Certain Classes of Quasilinear Fredholm Maps, Their Degree and Bifurcation, p. 149
Efendiev, M.A.; Fiedler, B.; Schuppert, A.
Upscaling of Some Exothermic Reactions from Chemical Industry, p. 153
Junghanns, P.
On the Numerical Solution of Nonlinear Singular Integral Equations, p. 157
Analysis of Nonlinear Ill-Posed Problems with Applications to Parameter Estimation M 136, p. 161
Blum, J.; Buvat, H.
Identification of the Current Density Profile in a Tokamak, p. 161
Hettlich, F.
An Iterative Method for the Inverse Scattering Problem from Sound-Hard Obstacles, p. 165
Hofmann, B.; Schröter, T.
Decomposition Cases of Nonlinear Ill-Posed Problems, p. 169
Super-Resolution Problems: Theory and Applications M 167, p. 173
Akduman, I.; Brand, U.; Coulam, R.; Grochmalicki, J.; Pike, R.
Super-Resolution in Three-dimensional Fluorescent Confocal Laser Scanning Microscopy, p. 173
Barone, P.; March, R.
On the Super-Resolution Properties of Prony's Method, p. 177
Bertero, M.; Boccacci, P.
Super-Resolution and the Ill-posedness of Out-of-band Extrapolation, p. 181
De Mol, C.
How to Beat the Rayleigh Limit?, p. 185
Theory and Applications of Neuronal Networks M 65, p. 189
Eldracher, M.; Pic, T.
How Neural Networks Speed Up a Randomized Incremental Graph-Based Motion Planner, p. 189
Domain Optimization M 105, M224, p. 193
Bresch, D.; Simon, J.
A Remark on the Loss of Regularity due to Normal Variations of a Domain, p. 193
Functional Differential Equations and Their Applications M 54, M 129, M 154, M 178, p. 197
Falcone, M.; Rosace, R.
Approximation of Optimal Control Problems for Delayed Equations, p. 197
Fridman, E.
Decoupling Transformation of Singularly Perturbed Systems with Small Delays and Its Applications, p. 201
Macki, J.W.; Nistri, P.; Zecca, P.
An Approximation Method for the Existence of Periodic Solutions to Systems with Delay, p. 205
Williams, A.; Burrage, K.
The Solution of Large Scale Linear Systems with an Application in Environmental Modelling, p. 209
Nonclassical Spectral Problems in Fluids, Magnetohydrodynamics and Quantum Mechanics
M 55, M 84, M 106, p. 213
Dijksma, A.
Hamiltonian Systems, Titchmarch-Weyl Coefficients, and Models, p. 213
Faierman, M.
A Boundary Eigenvalue Problem Occuring in Magnetohydrodynamics, p. 217
Krasnosel'skii, M.; Lusnikov, A.
On a Class of Nonlinear Problems and Related Special Properties of Linear Operators, p. 221
Lifschitz, A.
Spectral Problems of Hydrodynamics and Magnetohydrodynamics, p. 225
Motovilov, A.K.
Removal of the Resolvent-like Dependence on the Spectral Parameter from Perturbations, p. 229
Shkalikov, A.A.
Boundary Value Problems with the Spectral Parameter in the Boundary Conditions, p. 233
Bifurcations and Their Applications M 67, p. 237
Loginov, B.V.; Trenogin, V.A.
Group Symmetry of Bifurcation Equation in Dynamic Branching, p. 237
Loginov, B.V.; Trenogin, V.A.; Vel'misov, P.A.
Bifurcation and Stability in Some Problems of Continua Mechanics, p. 241
Trenogin, V.A.; Sidorov, N.A.; Loginov, B.V.
Bifurcation, Potentiality, Group-Theoretical and Iterative Methods, p. 245
Vel'misov, P.A.
Stability of Viscoelastic Bodies Accounting Aging and Interaction with Fluid or Gas, p. 249
Functional Equations with Rescaling - Analysis, Numerics and Applications M 151, p. 253
Iserles, A.; Liu, Y.
Integro-Differential Equations and Generalized Hypergeometric Functions, p. 253
Theory of Discretization Methods M 1, p. 257
Wendland, W.L.
On Galerkin Methods, p. 257
Boundary Element Methods: Mathematical Foundation M 69, p. 261
Ha-Duong, T.
On Boundary Integral Equations Associated to Scattering Problems of Transient Waves, p. 261
Hsiao, G.C.
Applications of Boundary Element Methods to Problems in Mechanics, p. 265
Kuhn, M.; Langer, U.
Parallel Algorithms for Symmetric Boundary Element Equations, p. 269
Sauter, S.A.; Lage, C.
On the Efficient Computation of Singular and Nearly Singular Surface Integrals Arising in 3D-Galerkin BEM, p. 273
Modeling, Analyses and Computations for Superconductivity M 29, p. 277
Baumann, P.; Phillips, D.; Tang, Q.
On the Onset of Superconductivity for the Ginzburg-Landau Equations, p. 277
Theoretical Models for Advanced Semiconductor Devices M 51, p. 281
Sobehart, J.R.; Hagan, P.S.
The High-Field Semiconductor Equations, p. 281
Woodward, D.E.; Randall, E.; Sobehart, J.R.; Ueda, T.; Please, C.P.; Hagan, P.S.
Electron Nonlocality in Semiconductors, p. 285
Semiconductor Device Simulation M 79, p. 289
Albinus, G.
Thermodynamics of Energy Models of Semiconductor Devices, p. 289
Arnold, A.
The Relaxation-Time von Neumann-Poisson Equation, p. 293
Kerkhoven, T.
Numerical Nanostructure Modeling, p. 297
Mathematical Theory of Semiconductors M 225, p. 301
Alì, G.; Marcati, P.A.; Natalini, R.
Hydrodynamical Models for Semiconductors, p. 301
Gamba, I.M.
Steady Potential Fluid-Poisson Systems: Theoretical Results in 2-Dimensional Geometries, p. 305
Mathematical Models for Hysteresis in Fatigue and Friction M 213, p. 309
Bliman, P.A.; Bonald, T.; Sorine, M.
Hysteresis Operators and Tyre Friction Models. Application to Vehicle Dynamic Simulation, p. 309
Krasnosel'skii, M.
Asymptotic Homogeneity of Hysteresis Operators, p. 313
Krasnosel'skii, M.; Rachinskii, D.; Yumagulov, M.; Mayergoyz, I.
New Problems in Systems with Hysteresis, p. 317
Invariant Imbedding Methods in Direct and Inverse Scattering M 8, M 123, p. 321
Fishman, L.
An Exact, Well-Posed, One-Way Reformulation of the Helmholtz Equation with Application to Direct and Inverse Wave Propagation Modeling, p. 321
Flow in Reactive Porous Media and Pollution M 199, p. 325
Priesack, E.
A Microstructure-Model for Microbial Growth in Aggregated Soils, p. 325
van Duijn, C.P.; Knabner, P.
Crystal Dissolution in Porous Media Flow, p. 329
Atmospheric and Oceanographic Sciences M 186, p. 333
Jacobson, M.Z.
Application of a Sparse-Matrix, Vectorized Gear-Type Code in a New Air Pollution Modeling System, p. 333
Zlatev, Z.; Dimov, I.; Georgiev, K.
Three-dimensional Version of the Danish Eulerian Model, p. 337
Mathematical Developments on Wave Problems M 32, M 53, p. 341
Schneider, G.
Limits for the Korteweg-de Vries-Approximation, p. 341
Time-Dependent Ginzburg-Landau Equations in Superconductivity and Turbulence M 66, p. 345
Fleckinger-Pellé, J.; Kaper, H.G.
Gauges for the Ginzburg-Landau Equations of Superconductivity, p. 345
Takác, P.
On the Dynamical Process Generated by a Superconductivity Model, p. 349
Asymptotics and 3D-Visualization of Navier-Stokes Approximations M 74, p. 353
Rautmann, R.
On Navier-Stokes Approximations in High Order Norms, p. 353
New Developments in the Mathematical Theory of Capillarity M 145, p. 357
Miersemann, E.
An Asymptotic Method for Solving the Capillary Tube Problem, p. 357
Numerical Methods for Compressible Flows M 179, M 200, p. 361
Sonar, T.; Süli, E.
A Dual Graph-Norm Refinement Indicator for Finite Volume Approximations of the Euler Equations, p. 361
Mathematical Problems in Transonic Flow M 205, p. 365
Schwendemann, D.W.; Kropinski, M.C.A.; Cole, J.D.
An Analytical and Numerical Study of Optimal Critical Airfoils, p. 365
The Dynamics of Thin Fluid Films M 212, p. 369
Bernis, F.
The Free Boundary of Thin Viscous Flows, p. 369
Bertozzi, A.L.
Lubrication Approximations for Surface Tension Driven Interfaces: Some Open Problems, p. 373
Hyperbolic Conservation Laws with Source M 109, p. 377
Aregba-Driollet, D.; Natalini, R.
Convergence of Relaxation Schemes for Conservation Laws, p. 377
Chen, G.-Q.
Relaxation Limit for Conservation Laws, p. 381
Natalini, R.
Uniform Convergence to Equilibrium for Conservation Laws with Relaxation, p. 385
Analysis of Microstructures and Advanced Materials M 18, M 37, M 60, p. 389
Ball, J.M.; James, R.D.
Local Minimizers and Phase Transformations, p. 389
Chipot, M.; Kinderlehrer, D.
Analysis and Computation in Non-convex Well Problems, p. 393
DeSimone, A.
Characterization of the Macroscopic Response of Magnetostrictive Materials via Microstructural Analysis, p. 397
James, R.D.; Kinderlehrer, D.
Magnetoelastic Interactions, p. 401
Luskin, M.
Numerical Analysis of a Microstructure for a Rotationally Invariant, Double Well Energy, p. 405
Diffusive Phase Transitions M 42, p. 409
Colli, P.
Error Estimates for Nonlinear Stefan Problems Obtained as Asymptotic Limits of a Penrose-Fife Mo- del, p. 409
Shape Memory Alloys: Modelling, Mathematical Analysis, Numerical Simulation and Applications M 82, p. 413
Colli, P.; Sprekels, J.
Remarks on the Existence for the One-dimensional Frémond Model of Shape Memory Alloys, p. 413
Towards the Understanding of Chemical Pattern Formation M 58, p. 417
Nishiura, Y.; Ohnishi, I.
Non-local Effects in Phase Separation Dynamics, p. 417
Mathematical Models in Epidemiology M 121, M 172, p. 421
Andreasen, V.; Levin, S.; Lin, J.
A Model of Influenza A Drift Evolution, p. 421
Damaggio, M.L.; Pugliese, A.
The Degree of Aggregation of Parasite Distributions in Epidemic Models, p. 425
Hethcote, H.W.
Mathematical Modelling of Pertussis Epidemiology, p. 429
Kretzschmar, M.
Graphs and Line Graphs as a Model for Contact Patterns, p. 433
Research Results by Women Post Docs: Sponsored by AWM and SIAM M 87, p. 437
Horn, M.A.
Boundary Control and Stabilization of Kirchhoff and von Kármán Plates, p. 437
Kuske, R.; Erneux, T.
Localization in Systems of Non-identical Oscillators, p. 441
High Performance Computing: A Current View and Future Directions for Selected Disciplines M 3, M 211, p. 445
Sterling, T.; Merkey, P.; Savarese, D.
HPC Architecture Requirements for Earth and Space Science Applications, p. 445
Knowledge Through Images for the Cultural Heritage Protection M 36, p. 449
Moltedo, L.; Salvetti, L.
A Generalized Model for Texture Coding and Processing in Applications of Art Conservation, p. 449
New Mathematical Methods and Problems in Image Analysis M 158, p. 453
Saito, N.; Coifman, R.R.
On Local Feature Extraction for Signal Classification, p. 453
Contributed Papers and Posters, p. 457
Aganovic, I.; Jurak, M.; Marusic-Paloka, E.; Tutek, Z.
A Model of Wrinkled Plate, p. 457
Al'brekht, E.G.; Sobolev, O.N.
On an Approximate Synthesis of Optimal Feedback Controllers in Quasilinear Systems, p. 459
Alvarez-Dios, J.A.; Viaño, J.M.
Asymptotic Approach of the Shear Stress Distribution in Linear Elastic Beams of Variable Cross Sec- tion, p. 461
Alvarez-Dios, J.A.; Viaño, J.M.
Asymptotic Derivation of a General Bending Model for a Weakly Curved Rod, p. 463
Anashkin, O.
Generalized Lyapunov Functions and Stability Analysis in Critical Cases, p. 465
Andrew, A.L.; Tan, R.C.E.
Computation of Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors, p. 467
Andreyev, V.L.; Abramian, A.K.
Trapping Modes in Elastic Structures with Mass-Spring Inclusions, p. 469
Babovsky, H.
Inverse Problems in Kinetic Theory, p. 471
Barbosa Jr, V.P.; Maciel Filho, R.
Nonlinear Dynamic Matrix Control with Data Reconciliation Algorithm to a Polymerization System, p. 473
Béda, P.B.
Material Instability and Dynamical Systems, p. 475
Benedetto, J.J.; Zimmermann, G.
Poisson's Summation Formula in the Construction of Wavelet Bases, p. 477
Blaska, J.; Janovský, V.
Local Analysis of Symmetry-breaking Hopf Bifurcation, p. 479
Boertjens, G.J.; van Horssen, W.T.
Existence, Uniqueness and Asymptotic Behaviour for a Nonlinear Beam Equation, p. 481
Boese, F.G.
On the Stability of the Damped Harmonic Oscillator with One Delayed and One Undelayed Restoring Force and Constant Interval-valued Parameters, p. 483
Bonilla, L.L.; Carrillo, J.A.; Soler, J.
Asymptotic Behaviour of the Vlasov-Poisson-Fokker-Planck System in Bounded Domains, p. 485
Bora, S.N.; Rahman, M.
Recent Mathematical Developments of Potential Theory Applied to Diffraction of Water Waves, p. 487
Brothers, J.D.; Haberman, R.
Matching Across Subharmonic Resonances, p. 489
Bruaset, A.M.; Nielsen, B.F.; Tveito, A.
On the Stability of Solutions of the Pressure Equation with Respect to Perturbations in the Mobility Tensor, p. 491
Cabrelli, C.; Heil, C.; Molter, U.
Generalized Self-Similarity Applied to Matrix Refinement Equations, p. 493
Carpio, A.
Large Time Behaviour in Incompressible Navier-Stokes Equation, p. 495
Carstensen, C.
Numerical Analysis of Nonconvex Minimization Problems Allowing Microstructures, p. 497
Cessenat, O.; Despres, B.
A New Variational Formulation of Elliptic Linear PDEs. Application to the 2-dimensional Helmholtz Problem., p. 499
Christensen, O.
Some Special Frames, p. 501
Chuer, M.
On the Use of the Discrete Analogue of the Rellich Identity for the Discrete 1D Wave Equation with Dirichlet Boundary Conditions, p. 503
Comiskey, C.M.
Integral Equations and Estimating the Incidence of HIV Infection, p. 505
Debnath, J.
Inverse Laplace Transform for the Theory of Association, p. 507
Denk, R.
The Determinantal Method for Hill Systems, p. 509
Derkach, V.
Indefinite Moment Problem and Resolvent Matrices of Hermitian Operators in Krein Spaces, p. 511
Díaz, J.I.; Galiano, G.; Padial, J.F.
On the Uniqueness of Solutions of a Nonlinear Elliptic Problem Arising in the Confinement of a Plasma in a Stellarator Device, p. 513
Díaz, J.I.; Padial, J.F.
On the Solvability of Some Nonlinear Parabolic Problems in the Class of BV Functions, p. 515
Díaz, J.I.; Tello, L.
On the Multiplicity of Stationary Solutions of a Global Two-dimensional Climate Model, p. 517
Di Marco, S.C.; Gonzalez, R.L.V.
A Numerical Procedure for Minimizing the Maximum Cost, p. 519
Dorninger, D.
Algorithms for Reconstructing the Spatial Order of Chromosomes, p. 521
Francu, J.
Modelling of Czochralski Flow, p. 523
Gatica, G.N.; Wendland, W.L.
Coupling of Mixed Finite Elements and Boundary Elements in Potential Theory and Elastostatics, p. 525
Gavrilyuk, I.P.; Makarov, V.L.
Representation and Approximation for the Solutions of Second Order Differential Equations with Unbounded Operator Coefficients in Hilbert Space, p. 527
Georgescu, A.; Palese, L.
A Nonlinear Stability Criterion for a Layer of a Binary Mixture, p. 529
Gol'dshtein, V.; Panfilov, V.; Shreiber, I.
Operation of Heterogeneous CSTR by Variable Feed Flow Rate, p. 531
Gol'dshtein, V.; Sobolev, V.; Zinoviev, A.
Thermal Explosion in a Dusty Gas, p. 533
Golubeva, N.; Pulkina, L.
On the Nonlocal Problem with Integral Conditions for the Hyperbolic Equation, p. 535
Gomilko, A.M.; Malyuga, V.S.; Verbruggen, M.G.J.
Stokes Flow in a Cylindrical Vessel with Helical Impellers, p. 537
Gorbachuk, M.L.
Behaviour at Infinity of Solutions of Operator Differential Equations Connected with Certain Problems of Hydrodynamics, p. 539
Govorukha, V.B.; Loboda, V.V.
On a Numerical Method of the Solution of Singular Integral Equations, p. 541
Grasselli, M.
Determining Relaxation Kernels Arising in Homogenization of Linear Viscoelastic Media, p. 543
Hansen, O.
A Local Existence Theorem for Two Parabolic Equations with a Nonlinear Coupling, p. 545
Hartung, J.
Mathematische Modellierung
dynamischer Steuerungssysteme mit unbekanntem Funktionierungsmodell, p. 547
Heiduschke, K.
A Finite Element Model for Simulating the Development of Micro-Cracks in Solder Joints under Thermal Cycling, p. 549
Hervás, A.; Law, A.G.; Villanueva, R.J.; Weston, J.H.
Solving 
, with A Singular, p. 551
Hiegemann, M.
Grid-Free Chebyshev Solution of Certain Nonlinear Differential Equations, p. 553
Hinrichsen, D.; Son, N.K.
Stability Radii of Positive Dynamical Systems, p. 555
Horiuchi, R.; Shiba, M.
Rankin Ovoids on a Torus, p. 557
Horn, M.A.; Littman, W.
Gevrey Regularity of the Schrödinger Equation, p. 559
Jiménez-Casas, Á.; Rodríguez-Bernal, A.
Linear Stability Analysis of Phase Field Models, p. 561
Jüngel, A.
A Degenerate Quasi-Hydrodynamic Model for Semiconductor Devices, p. 563
Jumarhon, B.; Pidcock, M.
Reformulation of Volterra Integral (Integro-differential) Equations, p. 565
Karafiat, A.
On an Error Estimation for the Boundary Element Method Applied to a Fluid-Structure Interaction Problem, p. 567
Kawohl, B.
A Short Note on Hot Spots, p. 569
Kempfle, S.; Gaul, L.
Global Solutions of Fractional Linear Differential Equations, p. 571
Kern, G.; Maitz, A.; Schaffler, G.
Analytical Approach to Subspan Oscillations of Bundled Conductors, p. 573
Kindelan, M.; Higuera, F.J.; Bonilla, L.L.
Onset of the Gunn Effect in Semiconductors: Bifurcation Analysis and Numerical Simulations, p. 575
Klein, P.P.
A Modified Orr-Sommerfeld Problem, p. 577
Kovalev, A.
Solvability of Direct and Inverse Problems in the Control Theory of Dynamical Systems, p. 579
Krutitskii, P.A.
Excitation of Nonsteady Internal Waves by Vibrations of a Plate in a Stratified Rotating Fluid, p. 581
Kuczma, M.S.; Rakowski, J.; Litewka, P
Elastoplastic Analysis of Plates on Unilateral Foundations, p. 583
Kussul, N.N.; Koussoul, M.E.
Recurrent State Vector Estimation for Linear Dynamic Objects Using Fuzzy Ellipsoidal Sets, p. 585
Kuzhel, S.A.
Lax-Phillips Abstract Scattering Scheme in Pontryagin Spaces, p. 587
Lair, P.-O.; Audin-Olivaux, P.; Ferney, M.
A Morphing Based Model for the Extraction of Anatomical Features Contours on Skull Lateral Radiographs, p. 589
Lapin, A.
Domain Decomposition Method with Non-overlapping Subdomains for Elliptic Variational Inequalities Using Lagrange Multipliers, p. 591
Leonov, G.A.; Timochouk, L.A.; Vavilov, S.A.
On the Existence of Limit Cycles of the Perturbed Harmonic Oscillator in the Degenerate Case, p. 593
Li, M.Z.; Fushimi, M.
The SPCP on Two Relaxed Special-type Networks, p. 595
Lipton, R.; Vernescu, B.
Tow-phase Elastic Composites with Interfacial Slip, p. 597
Litvinov, W.G.
Some Models and Problems for Laminar and Turbulent Flows of Viscous and Nonlinear Viscous Flu- ids, p. 599
Lui, S.H.
Computation of Pseudospectra by Continuation, p. 601
Lukkassen, D.
Some Sharp Estimates Connected to the Homogenized p-Laplacian Equation, p. 603
Lust, K.; Roose, D.
Newton-Picard Methods with Subspace Iteration for Computing Periodic Solutions of Partial Differential Equations, p. 605
Luz Jr, L.F.L.; Maciel, M.R.W.
Evaluation on Numerical Methods for Resolution of Stiff Systems, p. 607
Maciel Filho, R.; McGreavy, C.
Mathematical Modelling for the Shell and Tube Reactor, p. 609
Markiewicz, M.; Mahrenholtz, O.
Computation of Hydrodynamic Loads on Offshore Structures by Numerical Methods Based on T-Complete Solution Functions, p. 611
Maury, B.; Pironneau, O.
Characteristics ALE Method for Unsteady Free Surface Flows with Surface Tension, p. 613
Melnikov, B.E.; Semenov, A.S.
Creation and Application of Hierarchical Sequence of Material Models for Numerical Analysis of Elasto-Plastic Structures, p. 615
Mikhailets, V.
Schrödinger Operator with Point Interactions in One Dimension, p. 617
Mohsen, A.
An Efficient Treatment of the Problem of Scattering by a Conducting Cylinder, p. 619
Mohsen, A.
Numerical Evaluation of a Class of Integral Transforms, p. 621
Mohsen, A.
On Treating the Scattering by a Metallic Cylinder via Boundary Integral Equation, p. 623
Morlet, A.C.
A Weak Maximum Principle and a Weak Limit for the Solution of a Fourth Order Burgers' Equation: Analytical Results, p. 625
Muravey, L.
Optimization Problems for Elliptic Equations in Domains with Free Boundary, p. 627
Nastase, A.; Honermann, A.
Computation and Visualization of the Inviscid Drag Coefficient and Polar Surfaces of the Wedged Delta Wing in Supersonic Flow, p. 629
Neustupa, J.
Remark on Stability of Solutions of the Navier-Stokes Equations in Exterior Domains, p. 631
Ogawa, T.; Suzuki, H.
Stability Analysis on the Pulse of a Perturbed KdV Equation, p. 633
Ohtsuka, K.
A Griffith's Criterion for Three-dimensional Fracture Problems of Elasticity Theory, p. 635
Pankov, A.
Homogenization of Nonlinear Difference Schemes, p. 637
Petruv, V.
Cauchy-Riemann Matrices, Computer Aided Research, p. 639
Pierantoni, M.; Curcic, V.
A Transformation of Iterated Collatz Mappings, p. 641
Plato, R.
On the Regularization of Abel's Integral Equation, p. 643
Pomp, A.
A Boundary-Domain Integral Equation Method for Non-Shallow Shells, p. 645
Pulkina, L.
On the Nonlocal Problem for the Degenerate Hyperbolic Equation, p. 647
Quell, P.; Reissel, M.
On the Vanishing Displacement Current Limit for Eddy-Current Problems, p. 649
Radzievskii, G.
Jackson Inequality for Eigenfunctions of Ordinary Differential Operators, p. 651
Raviart, P.-A.; Sonnendrücker, E.
Approximate Models for the Maxwell Equations, p. 653
Raymond, J.P.
Optimal Control of Parabolic Problems with State Constraints, p. 655
Reznik, V.H.
The Problem of Concordance Between the Information of ICP Solution Boundary Behaviour and the Variation of the Source Parameters and the Method of Sequential Projections on Image, p. 657
Roitberg, Y.A.
Elliptic and Parabolic Boundary Value Problems in Non-Smooth Domains in Complete Scales of Banach Spaces, p. 659
Roitberg, I.Y.
On Approximation of Solutions of Elliptic Boundary Value Problem, p. 661
Rushchitsky, J.
Lax-Nelson's Problem on the Direct Piezoelectric Effect in Two-Phase Materials, p. 663
Rumpel, R.J.
On the Qualitative Behaviour of Nonlinear Oscillations with Dry Friction, p. 665
Sakakihara, M.
Exponentially Convergent Iterative Method for Linear Equation with Dense Matrix, p. 667
Salnikov, N.N.
Indirect Adaptive Control of Badly or Partly Controlled Plants, p. 669
Sharafutdinov, V.A.
Mathematical Questions of Emission Tomography of Inhomogeneous Media. Theory and Numerical Methods, p. 671
Sheftel, Z.G.
Approximation by Solutions of Certain Class of Non-Local Elliptic Problems, p. 673
Shimasaki, M.
A Homotopy Algorithm for Two-Parameter Eigenvalue Problems, p. 675
Shtoff, A.V.; Dmitriev, Y.Y.; Gusarov, S.I.
Dynamic Polarization of the LiH Molecule in Strong Light Field in Anomalous-Dispersion Domain, p. 677
Skopina, M.
Convergence of Periodic Wavelet Expansions, p. 679
Staib, T.
Control of a Chemical Reactor (Reaction-Diffusion Equation), p. 681
Stavrakakis, N.M.
Eigenvalue Problem for Indefinite-Weight Linear Elliptic Equations in 
, p. 683
Steinbach, O.
Iterative Solvers and Efficient Preconditioners for Discretized Boundary Integral Equations, p. 685
Tietz, D.
Advanced Computer-assisted Gel Electrophoretic Applications, p. 687
Tokarzewski, J.
On a Solution of the Output-Zeroing Problem for MIMO Systems, p. 689
Trif, D.; Petrila, T.
Correction in the Dominant Space Method for Nonlinear Evolution Equations, p. 691
Trzaska, Z.W.
Fundamentals and Applications of the Fibonacii Hyperbolic Trigonometry, p. 693
Valusescu, I.
Operatorial Non-Stationary Harmonizable Processes, p. 695
van Horssen, W.T.
On Integrating Factors and a Perturbation Method, p. 697
Vlásek, Z.
Design of a Cascade of Profiles or a Radial Cascade of Profiles by the Solution of the Inverse Flow Problems, p. 699
Voss, H.; Mackens, W.
Computing the Minimal Eigenvalue of a Symmetric Toeplitz Matrix, p. 701
Vrdoljak, B.
Existence and Approximation of Some Radial Solutions of a Nonlinear Schrödinger Equation, p. 703
Wong, P.J.Y.; Agarwal, R.P.
Existence of Solutions for Singular Boundary Value Problems for Higher Order Difference Equations, p. 705
Yasko, N.N.
Numerical Method for Calculation of the Solitary and Other Nonlinear Waves on Water of Arbitrary Depth, p. 707
Zakharov, D.D.
Complex Potential Techniques in the Boundary Problems for Thin Anisotropic Asymmetric Lami- nates, p. 709
Zhilin, P.A.
Rotations of Rigid Body with Small Angles of Nutation, p. 711
Zhitarashu, N.; Rudi, I.
-Theory of General Linear Parabolic Boundary Value Problems, p. 713