Publications of the Research Institute for Mathematical Sciences

Online ISSN : 1663-4926
Print ISSN : 0034-5318

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Volume 9, Issue 3

Displaying 1-12 of 12 articles from this issue

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Stefan-Type Free Boundary Problems for Heat Equations

Hideo Kawarada

1974 Volume 9 Issue 3 Pages 517-533
Published: 1974
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2977/prims/1195192440

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Orbit Computation in Celestial Mechanics by Urabe's Method

René Dooren

1974 Volume 9 Issue 3 Pages 535-542
Published: 1974
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.2977/prims/1195192441

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The numerical computation of orbits in celestial mechanics can be performed by applying Urabe's method for the Galerkin procedure. High order Galerkin approximations are computed for two examples: Hill's variation orbit of the moon and the orbit of an artificial earth satellite. Excellent agreement with known results is obtained.

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A Difference Scheme for Solving the Stefan Problem

Tatsuo Nogi

1974 Volume 9 Issue 3 Pages 543-575
Published: 1974
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2977/prims/1195192442

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On Some Further Properties of Solutions to a Certain Semi-linear System of Partial Differential Equations

Atsushi Yoshikawa, Masaya Yamaguti

1974 Volume 9 Issue 3 Pages 577-595
Published: 1974
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2977/prims/1195192443

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Strongly Hyperbolic Systems with Variable Coefficients

Kunihiko Kajitani

1974 Volume 9 Issue 3 Pages 597-612
Published: 1974
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.2977/prims/1195192444

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Well-Posedness of the Cauchy Problem for Some Evolution Equations

Katsuju Igari

1974 Volume 9 Issue 3 Pages 613-629
Published: 1974
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2977/prims/1195192445

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On Normality of a Family of Holomorphic Functions

Chikara Watanabe

1974 Volume 9 Issue 3 Pages 631-648
Published: 1974
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.2977/prims/1195192446

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On the Asymptotic Behavior of the Solutions of Some Third and Fourth Order Non-Autonomous Differential Equations

Tadayuki Hara

1974 Volume 9 Issue 3 Pages 649-673
Published: 1974
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2977/prims/1195192447

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On the Growth of Solutions of Nonlinear Diffusion Equation u_t=Δu+F(u)

Kyûya Masuda

1974 Volume 9 Issue 3 Pages 675-682
Published: 1974
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.2977/prims/1195192448

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On Cohomology Theories of Infinite CW-complexes, III

Zen-ichi Yosimura

1974 Volume 9 Issue 3 Pages 683-706
Published: 1974
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.2977/prims/1195192449

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On Cohomology Theories of Infinite CW-complexes, IV

Zen-ichi Yosimura

1974 Volume 9 Issue 3 Pages 707-720
Published: 1974
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.2977/prims/1195192450

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Double Exponential Formulas for Numerical Integration

Hidetosi Takahasi, Masatake Mori

1974 Volume 9 Issue 3 Pages 721-741
Published: 1974
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2977/prims/1195192451

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A family of numerical quadrature formulas is introduced by application of the trapezoidal rule to infinite integrals which result from the given integrals ∫_a^bf(x)dx by suitable variable transformations x=φ(u). These formulas are characterized by having double exponential asymptotic behavior of the integrands in the resulting infinite integrals as u→±∞, and it is shown both analytically and numerically that such formulas are generally optimal with respect to the ecomony of the number of sampling points.

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