Topics in multivariate approximation 0121745856
297 44 2MB
English Pages 341 Year 1987
Table of contents :
Title......Page 1
Copyright ......Page 2
PREFACE ......Page 3
PARTICIPANTS ......Page 4
BOOLEAN METHODS IN FOURIER APPROXIMATION ......Page 7
ILL-POSED PROBLEMS IN MULTIVARIATE APPROXIMATION by E.W. Cheney ......Page 19
ON MULTIVARIATE VERTEX SPLINES AND APPLICATIONS by Charles K. Chui and Mingjun Lai ......Page 25
ON THE THEORY AND APPLICATION OF EXPONENTIAL SPLINES by W.Dahmen and C.A. Micchelli ......Page 43
INTERPOLATION OF SCATTERED DATA BY RADIAL FUNCTIONS by N.Dyn ......Page 53
SHAPE PRESERVING SURFACE INTERPOLATION by F.Fontanella ......Page 69
RECENT ADVANCES IN THE APPROXIMATION OF SURFACES FROM SCATTERED DATA by R.Franke ......Page 85
METAHARMONIC SPLINES FOR SOLVING THE EXTERIOR DIRICHLET PROBLEM FOR THE HELMHOLTZ EQUATION by W.Freeden ......Page 105
APPROXIMATION BY HARMONIC FUNCTIONS by Werner Haussmann ......Page 117
A SHORT SURVEY ON CARDINAL INTERPOLATION BY BOX SPLINES by K. Jetter......Page 131
UNISOLVENT INTERPOLATION IN ]Rn AND THE SIMPLICIAL POLYNOMIAL FINITE ELEMENT METHOD by A.J.Y. Le Mehaute ......Page 147
ON INTERPOLATION SYSTEMS AND ?-REDUCIBLE INTERPOLATION PROBLEMS by J. Lorente and V. Ramirez ......Page 159
ATTENUATION FACTORS AND MULTIVARIATE PERIODIC SPLINE INTERPOLATION by H.G. ter Morsche ......Page 171
COORDINATE FREE SCATTERED DATA INTERPOLATION by G.M. Nielson ......Page 181
APPROXIMATION BY POSITIVE ELEMENTS OF SUBALGEBRAS OF REAL-VALUED FUNCTIONS by J.B. Prolla......Page 191
NUMERICAL GENERATION OF NESTED SERIES OF GENERAL TRIANGULAR GRIDS by M.-C.Rivara ......Page 199
COMPOSITE FINITE ELEMENTS OF CLASS C2 by P.Sablonniere ......Page 213
TRIANGULATION METHODS by L.L. Schumaker ......Page 225
CONSTRAINED SURFACE CONSTRUCTION by F.I.Utreras ......Page 239
CONSTRAINED SURFACE CONSTRUCTION by F.I.Utreras ......Page 239
POLYNOMIAL REPRODUCING FORMULAS AND THE COMMUTATOR OF A LOCALLY SUPPORTED SPLINE by J.D.Ward ......Page 261
ON INEQUALITIES ARISING FROM BEST LOCAL APPROXIMATIONS IN RECTANGLES by F.Zo......Page 271
A BIBLIOGRAPHY OF MULTIVARIATE APPROXIMATION by R.Franke and L.L. Schumaker ......Page 281
Title......Page 1
Copyright ......Page 2
PREFACE ......Page 3
PARTICIPANTS ......Page 4
BOOLEAN METHODS IN FOURIER APPROXIMATION ......Page 7
ILL-POSED PROBLEMS IN MULTIVARIATE APPROXIMATION by E.W. Cheney ......Page 19
ON MULTIVARIATE VERTEX SPLINES AND APPLICATIONS by Charles K. Chui and Mingjun Lai ......Page 25
ON THE THEORY AND APPLICATION OF EXPONENTIAL SPLINES by W.Dahmen and C.A. Micchelli ......Page 43
INTERPOLATION OF SCATTERED DATA BY RADIAL FUNCTIONS by N.Dyn ......Page 53
SHAPE PRESERVING SURFACE INTERPOLATION by F.Fontanella ......Page 69
RECENT ADVANCES IN THE APPROXIMATION OF SURFACES FROM SCATTERED DATA by R.Franke ......Page 85
METAHARMONIC SPLINES FOR SOLVING THE EXTERIOR DIRICHLET PROBLEM FOR THE HELMHOLTZ EQUATION by W.Freeden ......Page 105
APPROXIMATION BY HARMONIC FUNCTIONS by Werner Haussmann ......Page 117
A SHORT SURVEY ON CARDINAL INTERPOLATION BY BOX SPLINES by K. Jetter......Page 131
UNISOLVENT INTERPOLATION IN ]Rn AND THE SIMPLICIAL POLYNOMIAL FINITE ELEMENT METHOD by A.J.Y. Le Mehaute ......Page 147
ON INTERPOLATION SYSTEMS AND ?-REDUCIBLE INTERPOLATION PROBLEMS by J. Lorente and V. Ramirez ......Page 159
ATTENUATION FACTORS AND MULTIVARIATE PERIODIC SPLINE INTERPOLATION by H.G. ter Morsche ......Page 171
COORDINATE FREE SCATTERED DATA INTERPOLATION by G.M. Nielson ......Page 181
APPROXIMATION BY POSITIVE ELEMENTS OF SUBALGEBRAS OF REAL-VALUED FUNCTIONS by J.B. Prolla......Page 191
NUMERICAL GENERATION OF NESTED SERIES OF GENERAL TRIANGULAR GRIDS by M.-C.Rivara ......Page 199
COMPOSITE FINITE ELEMENTS OF CLASS C2 by P.Sablonniere ......Page 213
TRIANGULATION METHODS by L.L. Schumaker ......Page 225
CONSTRAINED SURFACE CONSTRUCTION by F.I.Utreras ......Page 239
CONSTRAINED SURFACE CONSTRUCTION by F.I.Utreras ......Page 239
POLYNOMIAL REPRODUCING FORMULAS AND THE COMMUTATOR OF A LOCALLY SUPPORTED SPLINE by J.D.Ward ......Page 261
ON INEQUALITIES ARISING FROM BEST LOCAL APPROXIMATIONS IN RECTANGLES by F.Zo......Page 271
A BIBLIOGRAPHY OF MULTIVARIATE APPROXIMATION by R.Franke and L.L. Schumaker ......Page 281
- Author / Uploaded
- Chui C.K.
- Schumaker L.L.
- Utreras F.I (ed.)
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