Mathematics of computation, 1943-1993 : [electronic resource] a half-century of computational mathematics : Mathematics of Computation 50th Anniversary Symposium, August 9-13, 1993, Vancouver, British Columbia / Walter Gautschi, editor.

By: Mathematics of Computation 50th Anniversary Symposium (1993 : Vancouver, B.C.)Contributor(s): Gautschi, WalterMaterial type: TextTextSeries: Proceedings of symposia in applied mathematics ; v. 48Publication details: Providence, RI : American Mathematical Society, c1994Description: 1 online resource (xix, 643 p. : ill.)ISBN: 9780821892633 (online)Uniform titles: Mathematics of computation. Subject(s): Numerical analysis -- Congresses | Number theory -- Data processing -- CongressesAdditional physical formats: Mathematics of computation, 1943-1993 :DDC classification: 519.5 LOC classification: QA297 | .M385 1993Online resources: Contents | Contents
Partial contents:
On the development of multigrid methods and their analysis / James H. Bramble -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314840 An introduction to inverse problems / Margaret Cheney -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314841 Algorithms for unconstrained optimization: a review of recent developments / Donald Goldfarb -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314842 A survey of componentwise perturbation theory in numerical linear algebra / Nicholas J. Higham -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314843 Numerical evaluation of special functions / D. W. Lozier and F. W. J. Olver -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314844 A survey of numerical cubature over triangles / J. N. Lyness and Ronald Cools -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314845 New trends in the use and analysis of integral equations / J.-C. N�ed�elec -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314846 Applications of multivariate splines / Larry L. Schumaker -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314847 Initial value problems for ordinary differential equations: development of ideas, techniques, and implementation / Hans J. Stetter -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314848 Multiresolution methods for partial differential equations / Roger Temam -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314849 A comparison of techniques for solving ill-conditioned problems arising from the immersed boundary method / Loyce Adams and Zhiyun Yang -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314850 A mixed spectral-collocation and operator splitting method for the Wigner-Poisson equation / Anton Arnold -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/0090 Finite volume methods for irregular one-dimensional grids / M. J. Berger, R. J. LeVeque and L. G. Stern -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314852 Linear rational interpolation of continuous functions over an interval / Jean-Paul Berrut -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314853 A von Neumann reflection for the $2$-D Burgers equation / M. Brio and J. K. Hunter -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314854 Slow evolution from the boundary: A new stabilizing constraint on ill-posed continuation problems / Alfred S. Carasso -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/0094 A finite element method for the 2D drift-diffusion semiconductor model / Zhangxin Chen -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314856 Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems / S. De Marchi, M. Vianello and R. Zanovello -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314857 Error estimates for a quadrature rule for Cauchy principal value integrals / Kai Diethelm -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314858 A numerical radius approach to stable difference schemes for parabolic systems / Moshe Goldberg -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314859 An extension of the Olver-Sookne method for the solution of second-order linear difference equations / Takemitsu Hasegawa and Tatsuo Torii -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314860 The Faber polynomials for circular arcs / Matthew He -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314861 Finite element approximation for optimal control of electrically conducting fluid flows / L. S. Hou and S. S. Ravindran -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314862 ADI methods for heat equations with discontinuities along an arbitrary interface / Zhi Lin Li and Anita Mayo -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314863 Eigenvalue approximation of Fredholm integral operators / E. B. Lin -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314864 Spectral methods for singular perturbation problems / Wen Bin Liu and T. Tang -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314865 A quaternion-Jacobi method for symmetric matrices / Niloufer Mackey -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314866 On constructing Chebyshev series solutions of differential equations / Allan J. MacLeod -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314867 Multiquadric collocation methods in the numerical solution of Volterra integral and integro-differential equations / Athena Makroglou -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314868 Methods for solving large eigenvalue problems associated with configuration interaction electronic structure calculations / Kristyn J. Maschhoff -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/0108 Computing limiting normals to real surfaces / Donal O'Shea and Les Wilson -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314869 Orthogonal spline collocation solution of nonlinear Schr�odinger equations / Mark P. Robinson -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314870 Who invented the computer? The debate from the viewpoint of computer architecture / Ra�ul Rojas -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314871 Locking and boundary layer effects in the finite element approximation of the Reissner-Mindlin plate model / Christoph Schwab and Manil Suri -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314872 Efficient spectral Galerkin methods for some elliptic problems / Jie Shen -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314873 Periodic solutions of higher-order difference equations in two independent variables / Qin Sheng and Ravi P. Agarwal -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314874 Front tracking based on high-resolution wave propagation methods / Keh Ming Shyue -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314875 Time-splitting methods for nonhomogeneous conservation laws / T. Tang and Zhen Huan Teng -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314876 Numerical aspects of uniform Airy-type asymptotic expansions / N. M. Temme -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314877 Local dynamics and bifurcation consistencies of continuous-time dynamical systems and their numerical discretizations / Xin Wang, Edward K. Blum and Qingnan Li -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314878 Computing integrals of the complex error function / J. A. C. Weideman -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314879 Quadratures for improper integrals and their applications in integral equations / Yuesheng Xu and Yunhe Zhao -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314880 Spline harmonic analysis and wavelet bases / Valery A. Zheludev -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314881 Algorithms for quadratic orders / Ingrid Biehl and Johannes Buchmann -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314882 Analytic computations in number theory / Andrew M. Odlyzko -- http://www.ams.org/psapm/048 http://dx.doi.org/10.1090/psapm/048/1314883
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Includes bibliographical references and indexes.

On the development of multigrid methods and their analysis / James H. Bramble -- An introduction to inverse problems / Margaret Cheney -- Algorithms for unconstrained optimization: a review of recent developments / Donald Goldfarb -- A survey of componentwise perturbation theory in numerical linear algebra / Nicholas J. Higham -- Numerical evaluation of special functions / D. W. Lozier and F. W. J. Olver -- A survey of numerical cubature over triangles / J. N. Lyness and Ronald Cools -- New trends in the use and analysis of integral equations / J.-C. N�ed�elec -- Applications of multivariate splines / Larry L. Schumaker -- Initial value problems for ordinary differential equations: development of ideas, techniques, and implementation / Hans J. Stetter -- Multiresolution methods for partial differential equations / Roger Temam -- A comparison of techniques for solving ill-conditioned problems arising from the immersed boundary method / Loyce Adams and Zhiyun Yang -- A mixed spectral-collocation and operator splitting method for the Wigner-Poisson equation / Anton Arnold -- Finite volume methods for irregular one-dimensional grids / M. J. Berger, R. J. LeVeque and L. G. Stern -- Linear rational interpolation of continuous functions over an interval / Jean-Paul Berrut -- A von Neumann reflection for the $2$-D Burgers equation / M. Brio and J. K. Hunter -- Slow evolution from the boundary: A new stabilizing constraint on ill-posed continuation problems / Alfred S. Carasso -- A finite element method for the 2D drift-diffusion semiconductor model / Zhangxin Chen -- Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems / S. De Marchi, M. Vianello and R. Zanovello -- Error estimates for a quadrature rule for Cauchy principal value integrals / Kai Diethelm -- A numerical radius approach to stable difference schemes for parabolic systems / Moshe Goldberg -- An extension of the Olver-Sookne method for the solution of second-order linear difference equations / Takemitsu Hasegawa and Tatsuo Torii -- The Faber polynomials for circular arcs / Matthew He -- Finite element approximation for optimal control of electrically conducting fluid flows / L. S. Hou and S. S. Ravindran -- ADI methods for heat equations with discontinuities along an arbitrary interface / Zhi Lin Li and Anita Mayo -- Eigenvalue approximation of Fredholm integral operators / E. B. Lin -- Spectral methods for singular perturbation problems / Wen Bin Liu and T. Tang -- A quaternion-Jacobi method for symmetric matrices / Niloufer Mackey -- On constructing Chebyshev series solutions of differential equations / Allan J. MacLeod -- Multiquadric collocation methods in the numerical solution of Volterra integral and integro-differential equations / Athena Makroglou -- Methods for solving large eigenvalue problems associated with configuration interaction electronic structure calculations / Kristyn J. Maschhoff -- Computing limiting normals to real surfaces / Donal O'Shea and Les Wilson -- Orthogonal spline collocation solution of nonlinear Schr�odinger equations / Mark P. Robinson -- Who invented the computer? The debate from the viewpoint of computer architecture / Ra�ul Rojas -- Locking and boundary layer effects in the finite element approximation of the Reissner-Mindlin plate model / Christoph Schwab and Manil Suri -- Efficient spectral Galerkin methods for some elliptic problems / Jie Shen -- Periodic solutions of higher-order difference equations in two independent variables / Qin Sheng and Ravi P. Agarwal -- Front tracking based on high-resolution wave propagation methods / Keh Ming Shyue -- Time-splitting methods for nonhomogeneous conservation laws / T. Tang and Zhen Huan Teng -- Numerical aspects of uniform Airy-type asymptotic expansions / N. M. Temme -- Local dynamics and bifurcation consistencies of continuous-time dynamical systems and their numerical discretizations / Xin Wang, Edward K. Blum and Qingnan Li -- Computing integrals of the complex error function / J. A. C. Weideman -- Quadratures for improper integrals and their applications in integral equations / Yuesheng Xu and Yunhe Zhao -- Spline harmonic analysis and wavelet bases / Valery A. Zheludev -- Algorithms for quadratic orders / Ingrid Biehl and Johannes Buchmann -- Analytic computations in number theory / Andrew M. Odlyzko --

http://www.ams.org/psapm/048

http://dx.doi.org/10.1090/psapm/048/1314840

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http://dx.doi.org/10.1090/psapm/048/1314841

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http://dx.doi.org/10.1090/psapm/048/1314877

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http://dx.doi.org/10.1090/psapm/048/1314878

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http://dx.doi.org/10.1090/psapm/048/1314879

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http://dx.doi.org/10.1090/psapm/048/1314880

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http://dx.doi.org/10.1090/psapm/048/1314881

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http://dx.doi.org/10.1090/psapm/048/1314883

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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