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Inverse and Ill-Posed Problems

✍ Scribed by Heinz W. Engl, C. W. Groetsch


Publisher
Elsevier Inc, Academic Press
Year
1987
Tongue
English
Leaves
554
Series
Notes and Reports in Mathematics in Science and Engineering) (Vol 4
Category
Library

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✦ Table of Contents


Content:
Front Matter, Page iii
Copyright, Page iv
Contributors, Pages ix-xi
Preface, Pages xiii-xv
A FEW GEOMETRICAL FEATURES OF INVERSE AND ILL-POSED PROBLEMS, Pages 1-18, P.C. SABATIER
THE INVERSE PROBLEM OF AQUIFER TRANSMISSIVITY IDENTIFICATION, Pages 19-28, R.S. Anderssen, C.R. Dietrich
RELIABILITY OF INFORMATION OBTAINED FROM APPROXIMATELY-SOLVED PROBLEMS, Pages 29-35, Peter Linz
THREE TOPICS IN ILL-POSED PROBLEMS, Pages 37-51, Grace Wahba
A NEW APPROACH TO CLASSIFICATION AND REGULARIZATION OF ILL-POSED OPERATOR EQUATIONS, Pages 53-75, M.Z. Nashed
ON THE OPTIMALITY OF REGULARIZATION METHODS, Pages 77-95, Gennadi Vainikko
OPTIMAL PARAMETER CHOICE FOR ORDINARY AND ITERATED TIKHONOV REGULARIZATION, Pages 97-125, Heinz W. Engl, Andreas Neubauer
PARAMETER CHOICE FOR TIKHONOV REGULARIZATION OF ILL-POSED PROBLEMS, Pages 127-149, Helmut Gfrerer
FREDHOLM INTEGRAL EQUATIONS OF FIRST KIND AND THE METHOD OF CORRELOGRAM, Pages 151-164, G.A. Viano
ON ILL-POSED PROBLEMS AND THE METHOD OF CONJUGATE GRADIENTS, Pages 165-175, Helmut Brakhage
CONVERGENCE OF THE CONJUGATE GRADIENT METHOD FOR COMPACT OPERATORS, Pages 177-183, Alfred K. Louis
COMPARISON PRINCIPLES FOR ITERATIVE METHODS, Pages 185-193, Eberhard Schock
COMPUTATION OF ROUGH SOLUTIONS OF ABEL INTEGRAL EQUATIONS, Pages 195-210, Rudolf Gorenflo
ITERATIVE METHODS FOR THE APPROXIMATE SOLUTION OF ILL-POSED PROBLEMS WITH A PRIORI INFORMATION AND THEIR APPLICATIONS, Pages 211-229, V.V. Vasin
An Overview of Numerical Methods for Nonlinear Ill-Posed Problems, Pages 231-245, Curtis R. Vogel
SEVERELY ILL-POSED RADON PROBLEMS, Pages 247-259, Frank Natterer
PROJECTION THEOREMS FOR FAR FIELD PATTERNS AND THE INVERSE SCATTERING PROBLEM, Pages 261-277, David Colton, Peter Monk
A NUMERICAL METHOD FOR AN INVERSE SCATTERING PROBLEM, Pages 279-289, Andreas Kirsch, Rainer Kress
APPLIED INVERSE PROBLEMS IN OPTICS, Pages 291-313, M. Bertero, C. De Mol, E.R. Pike
SOME REMARKS ON LOCATING RADIATION SOURCES, Pages 315-324, John Rozier Cannon
ON THE APPROXIMATE SOLUTION OF A TWO-DIMENSIONAL INVERSE HEAT CONDUCTION PROBLEM, Pages 325-344, J. BAUMEISTER, H.-J. REINHARDT
MODIFIED EQUATIONS FOR APPROXIMATING THE SOLUTION OF A CAUCHY PROBLEM FOR THE HEAT EQUATION, Pages 345-350, Lars EldΓ©n
STABILITY ESTIMATES FOR ILL-POSED CAUCHY PROBLEMS FOR PARABOLIC EQUATIONS, Pages 351-368, Peter Knabner, Sergio Vessella
A BOUNDARY ELEMENT COLLOCATION METHOD FOR THE NEUMANN PROBLEM OF THE HEAT EQUATION, Pages 369-384, M. Costabel, K. Onishi, W.L. Wendland
SUFFICIENT CONDITIONS FOR THE SOLUTION OF THE INVERSE VIBRATING BEAM PROBLEM, Pages 385-397, Victor Barcilon
ON STABILIZING ILL-POSED PROBLEMS AGAINST ERRORS IN GEOMETRY AND MODELING, Pages 399-416, L.E. Payne
ON AN ILL–POSED PROBLEM FOR CONSTANT ALPHA FORCE-FREE FIELDS, Pages 417-423, Rainer Kress
SOME INVERSE AND ILL-POSED PROBLEMS IN COMPUTATIONAL FLUID DYNAMICS, Pages 425-441, J.D. Murphy, P.M. Prenter
IMPROVED CONTINUOUS DEPENDENCE RESULTS FOR A CLASS OF EVOLUTIONARY EQUATIONS, Pages 443-450, Karen A. Ames, Howard A. Levine, Lawrence E. Payne
SOME BOUNDARY VALUE PROBLEMS FOR THE WAVE EQUATION, Pages 451-459, Howard A Levine
ON THE LOW FREQUENCY ASYMPTOTICS OF THE EXTERIOR 2-D DIRICHLET PROBLEM IN DYNAMIC ELASTICITY, Pages 461-482, G.C. Hsiao, W.L. Wendland
INVERSE AND ILL-POSED PROBLEMS IN RESERVOIR SIMULATION, Pages 483-497, Richard Ewing, Tao Lin, Richard Falk
RATE OF CONVERGENCE FOR THE ESTIMATION OF A COEFFICIENT IN A TWO POINT BOUNDARY VALUE PROBLEM, Pages 499-511, Karl Kunisch
IDENTIFIABILITY OF DISTRIBUTED PARAMETERS, Pages 513-521, Carmen Chicone, JΓΌrgen Gerlach
ON THE REGULARIZATION OF LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS, Pages 523-540, Michael Hanke, Roswitha MΓ€rz, Andreas Neubauer
LIMITS OF ABSTRACT SPLINES, Pages 541-558, Franz-JΓΌrgen Delvos
LIST OF PARTICIPANTS, Pages 559-567
NOTES AND REPORTS IN MATHEMATICS IN SCIENCE AND ENGINEERING, Page ibc1


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