**Proceedings of Symposia in Applied Mathematics**

Volume: 48;
1995;
644 pp;
Hardcover

MSC: Primary 65; 11;

Print ISBN: 978-0-8218-0291-5

Product Code: PSAPM/48

List Price: $110.00

Individual Member Price: $88.00

**Electronic ISBN: 978-0-8218-9263-3
Product Code: PSAPM/48.E**

List Price: $110.00

Individual Member Price: $88.00

# Mathematics of Computation 1943–1993: A Half-Century of Computational Mathematics

Share this page *Edited by *
*Walter Gautschi*

This volume, containing the proceedings of an
international conference commemorating the fiftieth anniversary of

#### Table of Contents

# Table of Contents

## Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics

- Contents v6 free
- Preface xi12 free
- Mathematics of Computation: A brief history xvii18 free
- Part I. Symposium on Numerical Analysis 122 free
- Invited Papers 324
- On the development of multigrid methods and their analysis 526
- An introduction to inverse problems 2142
- Algorithms for unconstrained optimization: A review of recent developments 3354
- A survey of componentwise perturbation theory in numerical linear algebra 4970
- Numerical evaluation of special functions 79100
- A survey of numerical cubature over triangles 127148
- New trends in the use and analysis of integral equations 151172
- Applications of multivariate splines 177198
- Initial value problems for ordinary differential equations: Development of ideas, techniques, and implementation 205226
- Multiresolution methods for partial differential equations 225246

- Contributed Papers 241262
- A comparison of techniques for solving ill-conditioned problems arising from the immersed boundary method 243264
- A mixed spectral-collocation and operator splitting method for the Wigner-Poisson equation 249270
- Finite volume methods for irregular one-dimensional grids 255276
- Linear rational interpolation of continuous functions over an interval 261282
- A von Neumann reflection for the 2-D Burgers equation 265286
- Slow evolution from the boundary: A new stabilizing constraint in ill-posed continuation problems 269290
- A finite element method for the 2D drift-diffusion semiconductor model 275296
- Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems 281302
- Error estimates for a quadrature rule for Cauchy principal value integrals 287308
- A numerical radius approach to stable difference schemes for parabolic systems 293314
- An extension of the Olver-Sookne method for the solution of second-order linear difference equations 297318
- The Faber polynomials for circular arcs 301322
- Finite element approximation for optimal control of electrically conducting fluid flows 305326
- ADI methods for heat equations with discontinuities along an arbitrary interface 311332
- Eigenvalue approximation of Fredholm integral operators 317338
- Spectral methods for singular perturbation problems 323344
- A quaternion-Jacobi method for symmetric matrices 327348
- On constructing Chebyshev series solutions of differential equations 333354
- Multiquadric collocation methods in the numerical solution of Volterra integral and integro-differential equations 337358
- Methods for solving large eigenvalue problems associated with configuration interaction electronic structure calculations 343364
- Computing limiting normals to real surfaces 349370
- Orthogonal spline collocation solution of nonlinear Schrödinger equations 355376
- Who invented the computer? The debate from the viewpoint of computer architecture 361382
- Locking and boundary layer effects in the finite element approximation of the Reissner-Mindlin plate model 367388
- Efficient spectral Galerkin methods for some elliptic problems 373394
- Periodic solutions of higher-order difference equations in two independent variables 377398
- Front tracking based on high-resolution wave propagation methods 383404
- Time-splitting methods for nonhomogeneous conservation laws 389410
- Numerical aspects of uniform Airy-type asymptotic expansions 395416
- Local dynamics and bifurcation consistencies of continuous-time dynamical systems and their numerical discretizations 399420
- Computing integrals of the complex error function 403424
- Quadratures for improper integrals and their applications in integral equations 409430
- Spline harmonic analysis and wavelet bases 415436

- Part II. Minisymposium on Computational Number Theory 421442
- Invited Papers 423444
- Contributed Papers 533554
- Explicit bounds for primes in residue classes 535556
- Ramanujan and Euler's constant 541562
- Congruential sieves on FPGA computers 547568
- Lehmer pairs of zeros and the Riemann ξ-function 553574
- A record Aliquot sequence 557578
- Implications of computational mathematics for the philosophy of mathematics 561582
- Square roots of products of algebraic numbers 567588
- A locally parameterized version of Lehmer's problem 573594
- A new method for finding amicable pairs 577598
- Generalized Fermat numbers 583604
- Evaluation of ζ[sub(k)](2) for some totally real algebraic number fields K of degree 9 589610
- The period of the Bell exponential integers modulo a prime 595616
- Computing invariant polynomials of p-adic reflection groups 599620

- Author Index 603624
- Subject Index 619640

#### Readership

Numerical analysts in academia and industry, engineers, physicists, mathematical historians, computational number theorists, and cryptographers.

#### Reviews

Recommended.

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