Mathematics of computation 1943-1993: A half-century of computational mathematics

Front Cover
American Mathematical Soc.
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Contents

On the development of multigrid methods and their analysis
5
An introduction to inverse problems
21
A review of recent develop
33
A survey of componentwise perturbation theory in numerical linear algebra
49
Numerical evaluation of special functions
79
A survey of numerical cubature over triangles
127
New trends in the use and analysis of integral equations
151
Applications of multivariate splines
177
Orthogonal spline collocation solution of nonlinear Schrodinger equations
355
Who invented the computer? The debate from the viewpoint of computer
361
Locking and boundary layer effects in the finite element approximation
367
Efficient spectral Galerkin methods for some elliptic problems
373
Front tracking based on highresolution wave propagation methods
383
Timesplitting methods for nonhomogeneous conservation laws
389
Numerical aspects of uniform Airytype asymptotic expansions
395
Computing integrals of the complex error function
403

Development
205
Multiresolution methods for partial differential equations
225
A comparison of techniques for solving illconditioned problems arising
243
A mixed spectralcollocation and operator splitting method for the Wigner
249
Finite volume methods for irregular onedimensional grids
255
Linear rational interpolation of continuous functions over an interval
261
A new stabilizing constraint in illposed
269
A finite element method for the 2D driftdiffusion semiconductor model
275
Splitting functions and numerical analysis of WRtype methods for evolu
281
Error estimates for a quadrature rule for Cauchy principal value integrals
287
A numerical radius approach to stable difference schemes for parabolic
293
The Faber polynomials for circular arcs
301
Finite element approximation for optimal control of electrically conducting
305
ADI methods for heat equations with discontinuities along an arbitrary
311
Eigenvalue approximation of Fredholm integral operators
317
Spectral methods for singular perturbation problems
323
On constructing Chebyshev series solutions of differential equations
333
Methods for solving large eigenvalue problems associated with configura
343
Computing limiting normals to real surfaces
349
Quadratures for improper integrals and their applications in integral equa
409
Spline harmonic analysis and wavelet bases
415
Minisymposium on Computational Number Theory
421
Analytic computations in number theory
451
The number field sieve
465
Factoring integers before computers
481
Explicit bounds for primes in residue classes
535
Ramanujan and Eulers constant
541
Congruential sieves on FPGA computers
547
Lehmer pairs of zeros and the Riemann function
553
Implications of computational mathematics for the philosophy of math
561
Square roots of products of algebraic numbers
567
A locally parameterized version of Lehmers problem
573
Generalized Fermat numbers
583
Evaluation of Ctf2 for some totally real algebraic number fields K
589
The period of the Bell exponential integers modulo a prime
595
Author Index
603
Subject Index
619
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