Mathematics of Computation

Previous issue:

No. 123, Jul., 1973, pp. 455-684

2. Volume InformationVolume Information (pp. 1013-1028)
3. Stable URL: http://www.jstor.org/stable/2005502
4. PDF
 
6. Front MatterFront Matter
7. Stable URL: http://www.jstor.org/stable/2005503
8. PDF
 
10. Generalized Local Maximum Principles for Finite-Difference OperatorsGeneralized Local Maximum Principles for Finite-Difference Operators (pp. 685-718)
11. Achi Brandt
12. Stable URL: http://www.jstor.org/stable/2005504
13. PDF
 
15. Convergence for a Vortex Method for Solving Euler's EquationConvergence for a Vortex Method for Solving Euler's Equation (pp. 719-728)
16. Theodore E. Dushane
17. Stable URL: http://www.jstor.org/stable/2005505
18. PDF
 
20. Symmetrization of the Fluid Dynamic Matrices with ApplicationsSymmetrization of the Fluid Dynamic Matrices with Applications (pp. 729-736)
21. Eli Turkel
22. Stable URL: http://www.jstor.org/stable/2005506
23. PDF
 
25. Stability and Convergence of Difference Approximations to Pseudo-Parabolic Partial Differential EquationsStability and Convergence of Difference Approximations to Pseudo-Parabolic Partial Differential Equations (pp. 737-743)
26. William H. Ford, T. W. Ting
27. Stable URL: http://www.jstor.org/stable/2005507
28. PDF
 
30. Mesh Refinements for Parabolic Equations of Second OrderMesh Refinements for Parabolic Equations of Second Order (pp. 745-754)
31. Stewart Venit
32. Stable URL: http://www.jstor.org/stable/2005508
33. PDF
 
35. Eigenfrequencies of an Elliptic MembraneEigenfrequencies of an Elliptic Membrane (pp. 755-765)
36. B. A. Troesch, H. R. Troesch
37. Stable URL: http://www.jstor.org/stable/2005509
38. PDF
 
40. Elliptical Membranes with Smallest Second EigenvalueElliptical Membranes with Smallest Second Eigenvalue (pp. 767-772)
41. B. Andreas Troesch
42. Stable URL: http://www.jstor.org/stable/2005510
43. PDF
 
45. A Posteriori Error Bounds for Numerical Solutions of the Neutron Transport EquationA Posteriori Error Bounds for Numerical Solutions of the Neutron Transport Equation (pp. 773-780)
46. Niel K. Madsen
47. Stable URL: http://www.jstor.org/stable/2005511
48. PDF
 
50. A Modified Bairstow Method for Multiple Zeros of a PolynomialA Modified Bairstow Method for Multiple Zeros of a Polynomial (pp. 781-792)
51. F. M. Carrano
52. Stable URL: http://www.jstor.org/stable/2005512
53. PDF
 
55. The Order of Numerical Methods for Ordinary Differential EquationsThe Order of Numerical Methods for Ordinary Differential Equations (pp. 793-806)
56. J. C. Butcher
57. Stable URL: http://www.jstor.org/stable/2005513
58. PDF
 
60. Approximate Solution of the Differential Equation $y''= f(x,y)$ with Spline FunctionsApproximate Solution of the Differential Equation $y''= f(x,y)$ with Spline Functions (pp. 807-816)
61. G. Micula
62. Stable URL: http://www.jstor.org/stable/2005514
63. PDF
 
65. Polynomial Approximation of a Function and Its First Derivative in Near Minimax NormsPolynomial Approximation of a Function and Its First Derivative in Near Minimax Norms (pp. 817-827)
66. Edgar A. Cohen, Jr.
67. Stable URL: http://www.jstor.org/stable/2005515
68. PDF
 
70. Boundary Expansions for Spline InterpolationBoundary Expansions for Spline Interpolation (pp. 829-830)
71. W. D. Hoskins
72. Stable URL: http://www.jstor.org/stable/2005516
73. PDF
 
75. Integration Formulas and Schemes Based on $g$-SplinesIntegration Formulas and Schemes Based on $g$-Splines (pp. 831-s32)
76. George D. Andria, George D. Byrne, David R. Hill
77. Stable URL: http://www.jstor.org/stable/2005517
78. PDF
 
80. An Elliptic Integral IdentityAn Elliptic Integral Identity (pp. 839-840)
81. H. S. Wrigge
82. Stable URL: http://www.jstor.org/stable/2005518
83. PDF
 
85. Rational Approximants Defined from Double Power SeriesRational Approximants Defined from Double Power Series (pp. 841-848)
86. J. S. R. Chisholm
87. Stable URL: http://www.jstor.org/stable/2005519
88. PDF
 
90. Error Analysis for Direct Linear Integral Equation MethodsError Analysis for Direct Linear Integral Equation Methods (pp. 849-859)
91. James L. Phillips
92. Stable URL: http://www.jstor.org/stable/2005520
93. PDF
 
95. Numerical Construction of Gaussian Quadrature Formulas for $$\int^1_0 (-Log x)\cdot x^\alpha \cdot f(x) \cdot dx \quad \text{and}\quad \int^\infty_0 E_m(x) \cdot f(x) \cdot dx$$Numerical Construction of Gaussian Quadrature Formulas for $$\int^1_0 (-Log x)\cdot x^\alpha \cdot f(x) \cdot dx \quad \text{and}\quad \int^\infty_0 E_m(x) \cdot f(x) \cdot dx$$ (pp. 861-869)
96. Bernard Danloy
97. Stable URL: http://www.jstor.org/stable/2005521
98. PDF
 
100. A Note on the Computation of Integrals Involving Products of Trigonometric and Bessel FunctionsA Note on the Computation of Integrals Involving Products of Trigonometric and Bessel Functions (pp. 871-872)
101. Peter Linz, T. E. Kropp
102. Stable URL: http://www.jstor.org/stable/2005522
103. PDF
 
105. Self-Scaling Variable Metric Algorithms without Line Search for Unconstrained MinimizationSelf-Scaling Variable Metric Algorithms without Line Search for Unconstrained Minimization (pp. 873-885)
106. Shmuel S. Oren
107. Stable URL: http://www.jstor.org/stable/2005523
108. PDF
 
110. An Algorithm for the Exact Reduction of a Matrix to Frobenius Form Using Modular Arithmetic. IAn Algorithm for the Exact Reduction of a Matrix to Frobenius Form Using Modular Arithmetic. I (pp. 887-904)
111. Jo Ann Howell
112. Stable URL: http://www.jstor.org/stable/2005524
113. PDF
 
115. An Algorithm for the Exact Reduction of a Matrix to Frobenius form Using Modular Arithmetic. IIAn Algorithm for the Exact Reduction of a Matrix to Frobenius form Using Modular Arithmetic. II (pp. 905-920)
116. Jo Ann Howell
117. Stable URL: http://www.jstor.org/stable/2005525
118. PDF
 
120. An Extrapolated Gauss-Seidel Iteration for Hessenberg MatricesAn Extrapolated Gauss-Seidel Iteration for Hessenberg Matrices (pp. 921-926)
121. L. J. Lardy
122. Stable URL: http://www.jstor.org/stable/2005526
123. PDF
 
125. Extensions of Forsythe's Method for Random Sampling from the Normal DistributionExtensions of Forsythe's Method for Random Sampling from the Normal Distribution (pp. 927-937)
126. J. H. Ahrens, U. Dieter
127. Stable URL: http://www.jstor.org/stable/2005527
128. PDF
 
130. New Approximations to Familiar FunctionsNew Approximations to Familiar Functions (pp. 939-942)
131. J. E. Dutt, T. K. Lin, L. C. Tao
132. Stable URL: http://www.jstor.org/stable/2005528
133. PDF
 
135. A Search Procedure and Lower Bound for Odd Perfect NumbersA Search Procedure and Lower Bound for Odd Perfect Numbers (pp. 943-949)
136. Bryant Tuckerman
137. Stable URL: http://www.jstor.org/stable/2005529
138. PDF
 
140. A Lower Bound for the Set of Odd Perfect NumbersA Lower Bound for the Set of Odd Perfect Numbers (pp. 951-953)
141. Peter Hagis, Jr.
142. Stable URL: http://www.jstor.org/stable/2005530
143. PDF
 
145. On the Largest Prime Divisor of an Odd Perfect NumberOn the Largest Prime Divisor of an Odd Perfect Number (pp. 955-957)
146. Peter Hagis, Jr., Wayne L. McDaniel
147. Stable URL: http://www.jstor.org/stable/2005531
148. PDF
 
150. The First Occurrence of Large Gaps Between Successive PrimesThe First Occurrence of Large Gaps Between Successive Primes (pp. 959-963)
151. Richard P. Brent
152. Stable URL: http://www.jstor.org/stable/2005532
153. PDF
 
155. Computational Problems in $S$-Function TheoryComputational Problems in $S$-Function Theory (pp. 965-971)
156. P. A. Morris
157. Stable URL: http://www.jstor.org/stable/2005533
158. PDF
 
160. A Note on Dirichlet CharactersA Note on Dirichlet Characters (pp. 973-975)
161. Richard H. Hudson
162. Stable URL: http://www.jstor.org/stable/2005534
163. PDF
 
165. Primitive Binary PolynomialsPrimitive Binary Polynomials (pp. 977-980)
166. Wayne Stahnke
167. Stable URL: http://www.jstor.org/stable/2005535
168. PDF
 
170. The Determination of Galois GroupsThe Determination of Galois Groups (pp. 981-996)
171. Richard P. Stauduhar
172. Stable URL: http://www.jstor.org/stable/2005536
173. PDF
 
174. Reviews and Descriptions of Tables and Books
     2. Review: [untitled]Review: [untitled] (pp. 997-998)
     3. Y. L. L.
     4. Reviewed work(s): A Mathematics Citation Index by Joseph A. Schatz
        
     5. Stable URL: http://www.jstor.org/stable/2005537
     6. PDF
      
     8. Review: [untitled]Review: [untitled] (pp. 998-999)
     9. J. W. W.
     10. Reviewed work(s): Handbook of Mathematical Tables and Formulas by R. S. Burington
         
     11. Stable URL: http://www.jstor.org/stable/2005538
     12. PDF
      
     14. Review: [untitled]Review: [untitled] (p. 999)
     15. J. W. W.
     16. Reviewed work(s): Roots of $\tan x = x$ by H. P. Robinson
         
     17. Stable URL: http://www.jstor.org/stable/2005539
     18. PDF
      
     20. Review: [untitled]Review: [untitled] (pp. 999-1000)
     21. J. W. D.
     22. Reviewed work(s): Problems on Numerical Methods by M. P. Cherkasova; G. L. Thomas; R. S. Anderssen
         
     23. Stable URL: http://www.jstor.org/stable/2005540
     24. PDF
      
     26. Review: [untitled]Review: [untitled] (pp. 1000-1001)
     27. Garth P. McCormick
     28. Reviewed work(s): Iterative Methods for Nonlinear Optimization by S. L. S. Jacoby; J. S. Kowalik; J. T. Pizzo
         
     29. Stable URL: http://www.jstor.org/stable/2005541
     30. PDF
      
     32. Review: [untitled]Review: [untitled] (p. 1001)
     33. Olof Widlund
     34. Reviewed work(s): Iterative Solution of Large Linear Systems by David M. Young
         
     35. Stable URL: http://www.jstor.org/stable/2005542
     36. PDF
      
     38. Review: [untitled]Review: [untitled] (pp. 1001-1002)
     39. J. W. W.
     40. Reviewed work(s): Tables of Legendre Functions of Imaginary Argument by L. N. Karmazina
         
     41. Stable URL: http://www.jstor.org/stable/2005543
     42. PDF
      
     44. Review: [untitled]Review: [untitled] (pp. 1002-1003)
     45. Y. L. L.
     46. Reviewed work(s): An Improved Tabulation of the Plasma Dispersion Function and Its First Derivative--Part I: Argument with Positive Imaginary Part; Part II: Argument with Negative Imaginary Part: Zeros and Saddle Points by Henry E. Fettis; James C. Caslin; Kenneth R. Cramer
         
     47. Stable URL: http://www.jstor.org/stable/2005544
     48. PDF
      
     50. Review: [untitled]Review: [untitled] (pp. 1003-1004)
     51. Y. L. L.
     52. Reviewed work(s): A Table of the Inverse Sine-Amplitude Function in the Complex Domain by Henry E. Fettis; James C. Caslin
         
     53. Stable URL: http://www.jstor.org/stable/2005545
     54. PDF
      
     56. Review: [untitled]Review: [untitled] (p. 1004)
     57. D. S.
     58. Reviewed work(s): Odd Perfect Numbers: A Search Procedure, and a New Lower Bound of $10^{36}$ by Bryant Tuckerman
         
     59. Stable URL: http://www.jstor.org/stable/2005546
     60. PDF
      
     62. Review: [untitled]Review: [untitled] (pp. 1004-1005)
     63. Peter Hagis, Jr.
     64. Reviewed work(s): Odd-Perfect-Number Tree to $10^{36}$ by Bryant Tuckerman
         
     65. Stable URL: http://www.jstor.org/stable/2005547
     66. PDF
      
     68. Review: [untitled]Review: [untitled] (pp. 1005-1006)
     69. Bryant Tuckerman
     70. Reviewed work(s): If $n$ is Odd and Perfect, then $n > 10^{45}$. A Case Study Proof with a Supplement in which the Lower Bound is Improved to $10^{50}$ by Peter Hagis, Jr.
         
     71. Stable URL: http://www.jstor.org/stable/2005548
     72. PDF
      
     74. Review: [untitled]Review: [untitled] (p. 1006)
     75. Reviewed work(s): A Catalogue of Trees by P. A. Morris
         
     76. Stable URL: http://www.jstor.org/stable/2005549
     77. PDF
      
     79. Review: [untitled]Review: [untitled] (p. 1007)
     80. Henry Mullish
     81. Reviewed work(s): Fortran Techniques, with Special Reference to Non-Numerical Applications by A. Colin Day
         
     82. Stable URL: http://www.jstor.org/stable/2005550
     83. PDF
      
176. Table ErrataTable Errata (p. 1009)
177. Stable URL: http://www.jstor.org/stable/2005551
178. PDF
 
180. CorrigendaCorrigenda (pp. 1011-1012)
181. Alexandre J. Chorin, D. S.
182. Stable URL: http://www.jstor.org/stable/2005552
183. PDF
 
185. Back MatterBack Matter
186. Stable URL: http://www.jstor.org/stable/2005553
187. PDF
 

Next issue:

No. 125, Jan., 1974, pp. 1-348