Contents of Volume 45, Number 172

All articles in this issue are freely accessible.

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Stability of finite-difference models containing two boundaries or interfaces

Lloyd N. Trefethen.
Math. Comp. 45 (1985), 279-300
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MathSciNet review: 804924

Stability of interfaces with mesh refinement

Marsha J. Berger.
Math. Comp. 45 (1985), 301-318
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MathSciNet review: 804925

Finite difference approximations of generalized solutions

Endre Süli, Boško Jovanović and Lav Ivanović.
Math. Comp. 45 (1985), 319-327
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MathSciNet review: 804926

On some high-order accurate fully discrete Galerkin methods for the Korteweg-de Vries equation

Vassilios A. Dougalis and Ohannes A. Karakashian.
Math. Comp. 45 (1985), 329-345
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MathSciNet review: 804927

Analysis of the finite element variable penalty method for Stokes equations

Haroon Kheshgi and Mitchell Luskin.
Math. Comp. 45 (1985), 347-363
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MathSciNet review: 804928

Accuracy bounds for semidiscretizations of hyperbolic problems

Rolf Jeltsch and Klaus-Günther Strack.
Math. Comp. 45 (1985), 365-376
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MathSciNet review: 804929

Stepsize restrictions for stability of one-step methods in the numerical solution of initial value problems

M. N. Spijker.
Math. Comp. 45 (1985), 377-392
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MathSciNet review: 804930

Deformations of the bifurcation diagram due to discretization

J. Bigge and E. Bohl.
Math. Comp. 45 (1985), 393-403
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MathSciNet review: 804931

An improved version of Marti’s method for solving ill-posed linear integral equations

Heinz W. Engl and Andreas Neubauer.
Math. Comp. 45 (1985), 405-416
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MathSciNet review: 804932

The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes

Hermann Brunner.
Math. Comp. 45 (1985), 417-437
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MathSciNet review: 804933

Linear multistep methods for Volterra integral and integro-differential equations

P. J. van der Houwen and H. J. J. te Riele.
Math. Comp. 45 (1985), 439-461
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MathSciNet review: 804934

Fractional linear multistep methods for Abel-Volterra integral equations of the second kind

Ch. Lubich.
Math. Comp. 45 (1985), 463-469
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MathSciNet review: 804935

A stable algorithm for updating triangular factors under a rank one change

R. Fletcher and S. P. J. Matthews.
Math. Comp. 45 (1985), 471-485
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MathSciNet review: 804936

Estimation of the error in the reduced basis method solution of nonlinear equations

T. A. Porsching.
Math. Comp. 45 (1985), 487-496
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MathSciNet review: 804937

A geometric proof of total positivity for spline interpolation

C. de Boor and R. DeVore.
Math. Comp. 45 (1985), 497-504
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MathSciNet review: 804938

Optimal integration for functions of bounded variation

J. F. Traub and D. Lee.
Math. Comp. 45 (1985), 505-512
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MathSciNet review: 804939

The error norm of certain Gaussian quadrature formulae

G. Akrivis.
Math. Comp. 45 (1985), 513-519
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MathSciNet review: 804940

Recurrence relations for hypergeometric functions of unit argument

Stanisław Lewanowicz.
Math. Comp. 45 (1985), 521-535
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MathSciNet review: 804941

A note on asymptotic evaluation of some Hankel transforms

C. L. Frenzen and R. Wong.
Math. Comp. 45 (1985), 537-548
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MathSciNet review: 804942

Further extensions of a Legendre function integral

Henry E. Fettis.
Math. Comp. 45 (1985), 549-552
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MathSciNet review: 804943

Aitken sequences and generalized Fibonacci numbers

J. H. McCabe and G. M. Phillips.
Math. Comp. 45 (1985), 553-558
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MathSciNet review: 804944

Accuracy in random number generation

John F. Monahan.
Math. Comp. 45 (1985), 559-568
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MathSciNet review: 804945

On computing the discriminant of an algebraic number field

Theresa P. Vaughan.
Math. Comp. 45 (1985), 569-584
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MathSciNet review: 804946

On cyclic cubic fields

Veikko Ennola and Reino Turunen.
Math. Comp. 45 (1985), 585-589
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MathSciNet review: 804947

On real cyclic sextic fields

V. Ennola, S. Mäki and R. Turunen.
Math. Comp. 45 (1985), 591-611
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MathSciNet review: 804948

Sets in which $xy+k$ is always a square

Ezra Brown.
Math. Comp. 45 (1985), 613-620
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MathSciNet review: 804949

A counterexample to a conjecture of Mahler on best $p$-adic Diophantine approximation constants

Alice A. Deanin.
Math. Comp. 45 (1985), 621-632
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MathSciNet review: 804950

Reviews and Descriptions of Tables and Books

Math. Comp. 45 (1985), 633-636
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Corrigendum: “On the smallest $k$ such that all $k⋅2^{n}+1$ are composite” [Math. Comp. 40 (1983), no. 161, 381–384; MR0679453 (84k:10006)]

G. Jaeschke.
Math. Comp. 45 (1985), 637
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MathSciNet review: 804951

Indices

Math. Comp. 45 (1985), 639-648
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Supplement to: “Linear multistep methods for Volterra integral and integro-differential equations”

P. J. van der Houwen and H. J. J. te Riele.
Math. Comp. 45 (1985), S21-S28
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MathSciNet review: 804952