Mathematics of computation 1943 - 1993: a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Providence [u.a.]
American Math. Soc.
1994
|
| Schriftenreihe: | Proceedings of symposia in applied mathematics
48 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 643 S. |
| ISBN: | 0821802917 |
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Datensatz im Suchindex
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| adam_text | Contents
Preface xi
Mathematics of Computation: A brief history
Eugene Isaacson xvii
Part I. Symposium on Numerical Analysis
Invited Papers
On the development of multigrid methods and their analysis
James H. Bramble 5
An introduction to inverse problems
Margaret Cheney 21
Algorithms for unconstrained optimization: A review of recent develop¬
ments
Donald Goldfarb 33
A survey of componentwise perturbation theory in numerical linear algebra
Nicholas J. Higham 49
Numerical evaluation of special functions
D. W. Lozier and F. W. J. Olver 79
A survey of numerical cubature over triangles
J. N. Lyness and Ronald Cools 127
New trends in the use and analysis of integral equations
J. C. Nedelec 151
Applications of multivariate splines
Larry L. Schumaker 177
Initial value problems for ordinary differential equations: Development of
ideas, techniques, and implementation
Hans J. Stetter 205
V
vi CONTENTS
Multiresolution methods for partial differential equations
Roger Temam 225
Contributed Papers
A comparison of techniques for solving ill conditioned problems arising
from the immersed boundary method
Loyce Adams and Zhiyun Yang 243
A mixed spectral collocation and operator splitting method for the Wigner
Poisson equation
Anton Arnold 249
Finite volume methods for irregular one dimensional grids
M. J. Berger, R. J. LeVeque, and L. G. Stern 255
Linear rational interpolation of continuous functions over an interval
Jean Paul Berrut 261
A von Neumann reflection for the 2 D Burgers equation
M. Brio and J. K. Hunter 265
Slow evolution from the boundary: A new stabilizing constraint in ill posed
continuation problems
Alfred S. Carasso 269
A finite element method for the 2D drift diffusion semiconductor model
Zhangxin Chen 275
Splitting functions and numerical analysis of WR type methods for evolu¬
tionary and stationary problems
S. De Marchi, M. Vianello, and R. Zanovello 281
Error estimates for a quadrature rule for Cauchy principal value integrals
Kai Diethelm 287
A numerical radius approach to stable difference schemes for parabolic
systems
Moshe Goldberg 293
An extension of the Olver Sookne method for the solution of second order
linear difference equations
Takemitsu Hasegawa and Tatsuo torii 297
The Faber polynomials for circular arcs
Matthew He 301
CONTENTS vii
Finite element approximation for optimal control of electrically conducting
fluid flows
L. S. Hou and S. S. Ravindran 305
ADI methods for heat equations with discontinuities along an arbitrary
interface
Zhilin Li and Anita Mayo 311
Eigenvalue approximation of Fredholm integral operators
E. B. Lin 317
Spectral methods for singular perturbation problems
Wenbin Liu and Tao Tang 323
A quaternion Jacobi method for symmetric matrices
Niloufer Mackey 327
On constructing Chebyshev series solutions of differential equations
Allan J. MacLeod 333
Multiquadric collocation methods in the numerical solution of Volterra
integral and integro differential equations
Athena Makroglou 337
Methods for solving large eigenvalue problems associated with configura¬
tion interaction electronic structure calculations
Kristyn J. Maschhoff 343
Computing limiting normals to real surfaces
Donal O Shea and Les Wilson 349
Orthogonal spline collocation solution of nonlinear Schrodinger equations
Mark P. Robinson 355
Who invented the computer? The debate from the viewpoint of computer
architecture
Raul Rojas 361
Locking and boundary layer effects in the finite element approximation of
the Reissner Mindlin plate model
Christoph Schwab and Manil Suri 367
Efficient spectral Galerkin methods for some elliptic problems
Jie Shen 373
Periodic solutions of higher order difference equations in two independent
variables
Qin Sheng and Ravi P. Agarwal 377
viii CONTENTS
Front tracking based on high resolution wave propagation methods
Keh Ming Shyue 383
Time splitting methods for nonhomogeneous conservation laws
Tao Tang and Zhen Huan Teng 389
Numerical aspects of uniform Airy type asymptotic expansions
N. M. Temme 395
Local dynamics and bifurcation consistencies of continuous time dynamical
systems and their numerical discretizations
Xin Wang, Edward K. Blum, and Qingnan Li 399
Computing integrals of the complex error function
J. A. C. Weideman 403
Quadratures for improper integrals and their applications in integral equa¬
tions
YUESHENG XU AND YUNHE ZHAO 409
Spline harmonic analysis and wavelet bases
Valery A. Zheludev 415
Part II. Minisymposium on Computational Number Theory
Dedicated to the memory of Derrick Henry Lehmer
Invited Papers
Algorithms for quadratic orders
Ingrid Biehl and Johannes Buchmann 425
Analytic computations in number theory
Andrew M. Odlyzko 451
The number field sieve
Carl Pomerance 465
Factoring integers before computers
H. C. Williams and J. O. Shallit 481
Contributed Papers
Explicit bounds for primes in residue classes
Eric Bach and Jonathan Sorenson 535
Ramanujan and Euler s constant
Richard P. Brent 541
CONTENTS ix
Congruential sieves on FPGA computers
Nathan D. Bronson and Duncan A. Buell 547
Lehmer pairs of zeros and the Riemann ^ function
George Csordas, Wayne Smith, and Richard S. Varga 553
A record Aliquot sequence
Andrew W. P. Guy and Richard K. Guy 557
Implications of computational mathematics for the philosophy of math¬
ematics
Andrew J. Lazarus 561
Square roots of products of algebraic numbers
Peter L. Montgomery 567
A locally parameterized version of Lehmer s problem
Gary A. Ray 573
A new method for finding amicable pairs
H. J. J. TE RlELE 577
Generalized Fermat numbers
Hans Riesel and Anders Bjorn 583
Evaluation of Of (2) for some totally real algebraic number fields K of
degree 9
Kisao Takeuchi 589
The period of the Bell exponential integers modulo a prime
Samuel S. Wagstaff, Jr. 595
Computing invariant polynomials of p adic reflection groups
Changsheng Xu 599
Author Index 603
Subject Index 619
|
| adam_txt |
Contents
Preface xi
Mathematics of Computation: A brief history
Eugene Isaacson xvii
Part I. Symposium on Numerical Analysis
Invited Papers
On the development of multigrid methods and their analysis
James H. Bramble 5
An introduction to inverse problems
Margaret Cheney 21
Algorithms for unconstrained optimization: A review of recent develop¬
ments
Donald Goldfarb 33
A survey of componentwise perturbation theory in numerical linear algebra
Nicholas J. Higham 49
Numerical evaluation of special functions
D. W. Lozier and F. W. J. Olver 79
A survey of numerical cubature over triangles
J. N. Lyness and Ronald Cools 127
New trends in the use and analysis of integral equations
J. C. Nedelec 151
Applications of multivariate splines
Larry L. Schumaker 177
Initial value problems for ordinary differential equations: Development of
ideas, techniques, and implementation
Hans J. Stetter 205
V
vi CONTENTS
Multiresolution methods for partial differential equations
Roger Temam 225
Contributed Papers
A comparison of techniques for solving ill conditioned problems arising
from the immersed boundary method
Loyce Adams and Zhiyun Yang 243
A mixed spectral collocation and operator splitting method for the Wigner
Poisson equation
Anton Arnold 249
Finite volume methods for irregular one dimensional grids
M. J. Berger, R. J. LeVeque, and L. G. Stern 255
Linear rational interpolation of continuous functions over an interval
Jean Paul Berrut 261
A von Neumann reflection for the 2 D Burgers equation
M. Brio and J. K. Hunter 265
Slow evolution from the boundary: A new stabilizing constraint in ill posed
continuation problems
Alfred S. Carasso 269
A finite element method for the 2D drift diffusion semiconductor model
Zhangxin Chen 275
Splitting functions and numerical analysis of WR type methods for evolu¬
tionary and stationary problems
S. De Marchi, M. Vianello, and R. Zanovello 281
Error estimates for a quadrature rule for Cauchy principal value integrals
Kai Diethelm 287
A numerical radius approach to stable difference schemes for parabolic
systems
Moshe Goldberg 293
An extension of the Olver Sookne method for the solution of second order
linear difference equations
Takemitsu Hasegawa and Tatsuo torii 297
The Faber polynomials for circular arcs
Matthew He 301
CONTENTS vii
Finite element approximation for optimal control of electrically conducting
fluid flows
L. S. Hou and S. S. Ravindran 305
ADI methods for heat equations with discontinuities along an arbitrary
interface
Zhilin Li and Anita Mayo 311
Eigenvalue approximation of Fredholm integral operators
E. B. Lin 317
Spectral methods for singular perturbation problems
Wenbin Liu and Tao Tang 323
A quaternion Jacobi method for symmetric matrices
Niloufer Mackey 327
On constructing Chebyshev series solutions of differential equations
Allan J. MacLeod 333
Multiquadric collocation methods in the numerical solution of Volterra
integral and integro differential equations
Athena Makroglou 337
Methods for solving large eigenvalue problems associated with configura¬
tion interaction electronic structure calculations
Kristyn J. Maschhoff 343
Computing limiting normals to real surfaces
Donal O'Shea and Les Wilson 349
Orthogonal spline collocation solution of nonlinear Schrodinger equations
Mark P. Robinson 355
Who invented the computer? The debate from the viewpoint of computer
architecture
Raul Rojas 361
Locking and boundary layer effects in the finite element approximation of
the Reissner Mindlin plate model
Christoph Schwab and Manil Suri 367
Efficient spectral Galerkin methods for some elliptic problems
Jie Shen 373
Periodic solutions of higher order difference equations in two independent
variables
Qin Sheng and Ravi P. Agarwal 377
viii CONTENTS
Front tracking based on high resolution wave propagation methods
Keh Ming Shyue 383
Time splitting methods for nonhomogeneous conservation laws
Tao Tang and Zhen Huan Teng 389
Numerical aspects of uniform Airy type asymptotic expansions
N. M. Temme 395
Local dynamics and bifurcation consistencies of continuous time dynamical
systems and their numerical discretizations
Xin Wang, Edward K. Blum, and Qingnan Li 399
Computing integrals of the complex error function
J. A. C. Weideman 403
Quadratures for improper integrals and their applications in integral equa¬
tions
YUESHENG XU AND YUNHE ZHAO 409
Spline harmonic analysis and wavelet bases
Valery A. Zheludev 415
Part II. Minisymposium on Computational Number Theory
Dedicated to the memory of Derrick Henry Lehmer
Invited Papers
Algorithms for quadratic orders
Ingrid Biehl and Johannes Buchmann 425
Analytic computations in number theory
Andrew M. Odlyzko 451
The number field sieve
Carl Pomerance 465
Factoring integers before computers
H. C. Williams and J. O. Shallit 481
Contributed Papers
Explicit bounds for primes in residue classes
Eric Bach and Jonathan Sorenson 535
Ramanujan and Euler's constant
Richard P. Brent 541
CONTENTS ix
Congruential sieves on FPGA computers
Nathan D. Bronson and Duncan A. Buell 547
Lehmer pairs of zeros and the Riemann ^ function
George Csordas, Wayne Smith, and Richard S. Varga 553
A record Aliquot sequence
Andrew W. P. Guy and Richard K. Guy 557
Implications of computational mathematics for the philosophy of math¬
ematics
Andrew J. Lazarus 561
Square roots of products of algebraic numbers
Peter L. Montgomery 567
A locally parameterized version of Lehmer's problem
Gary A. Ray 573
A new method for finding amicable pairs
H. J. J. TE RlELE 577
Generalized Fermat numbers
Hans Riesel and Anders Bjorn 583
Evaluation of Of (2) for some totally real algebraic number fields K of
degree 9
Kisao Takeuchi 589
The period of the Bell exponential integers modulo a prime
Samuel S. Wagstaff, Jr. 595
Computing invariant polynomials of p adic reflection groups
Changsheng Xu 599
Author Index 603
Subject Index 619 |
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| series2 | Proceedings of symposia in applied mathematics |
| spelling | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia Providence [u.a.] American Math. Soc. 1994 XIX, 643 S. txt rdacontent n rdamedia nc rdacarrier Proceedings of symposia in applied mathematics 48 Analyse numérique - Congrès Analyse numérique - Congrès ram Nombres, Théorie des - Informatique - Congrès Nombres, théorie des - Informatique - Congrès ram Numerieke wiskunde gtt Datenverarbeitung Number theory Data processing Congresses Numerical analysis Congresses Computeralgebra (DE-588)4010449-7 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Zahlentheorie (DE-588)4067277-3 s DE-604 Computeralgebra (DE-588)4010449-7 s 1\p DE-604 Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 Gautschi, Walter Sonstige oth Proceedings of symposia in applied mathematics 48 (DE-604)BV005623690 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015221180&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia Proceedings of symposia in applied mathematics Analyse numérique - Congrès Analyse numérique - Congrès ram Nombres, Théorie des - Informatique - Congrès Nombres, théorie des - Informatique - Congrès ram Numerieke wiskunde gtt Datenverarbeitung Number theory Data processing Congresses Numerical analysis Congresses Computeralgebra (DE-588)4010449-7 gnd Numerische Mathematik (DE-588)4042805-9 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4010449-7 (DE-588)4042805-9 (DE-588)4067277-3 (DE-588)1071861417 |
| title | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia |
| title_auth | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia |
| title_exact_search | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia |
| title_exact_search_txtP | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia |
| title_full | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia |
| title_fullStr | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia |
| title_full_unstemmed | Mathematics of computation 1943 - 1993 a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia |
| title_short | Mathematics of computation 1943 - 1993 |
| title_sort | mathematics of computation 1943 1993 a half century of computational mathematics mathematics of computation 50th anniversary symposium august 9 13 1993 vancouver british columbia |
| title_sub | a half-century of computational mathematics ; Mathematics of Computation 50th Anniversary Symposium August 9 - 13, 1993, Vancouver, British Columbia |
| topic | Analyse numérique - Congrès Analyse numérique - Congrès ram Nombres, Théorie des - Informatique - Congrès Nombres, théorie des - Informatique - Congrès ram Numerieke wiskunde gtt Datenverarbeitung Number theory Data processing Congresses Numerical analysis Congresses Computeralgebra (DE-588)4010449-7 gnd Numerische Mathematik (DE-588)4042805-9 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Analyse numérique - Congrès Nombres, Théorie des - Informatique - Congrès Nombres, théorie des - Informatique - Congrès Numerieke wiskunde Datenverarbeitung Number theory Data processing Congresses Numerical analysis Congresses Computeralgebra Numerische Mathematik Zahlentheorie Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015221180&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005623690 |
| work_keys_str_mv | AT gautschiwalter mathematicsofcomputation19431993ahalfcenturyofcomputationalmathematicsmathematicsofcomputation50thanniversarysymposiumaugust9131993vancouverbritishcolumbia |