Stability analysis and error estimate for difference problems derived from a spatially one dimensional convective diffusion equation 空間一次元移流拡散方程式から導かれる差分問題の安定性解析と誤差評価

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著者

    • 名古屋, 靖一郎 ナゴヤ, セイイチロウ

書誌事項

タイトル

Stability analysis and error estimate for difference problems derived from a spatially one dimensional convective diffusion equation

タイトル別名

空間一次元移流拡散方程式から導かれる差分問題の安定性解析と誤差評価

著者名

名古屋, 靖一郎

著者別名

ナゴヤ, セイイチロウ

学位授与大学

電気通信大学

取得学位

博士 (理学)

学位授与番号

博甲第85号

学位授与年月日

1996-03-22

注記・抄録

博士論文

目次

  1. Abstract / p1 (0006.jp2)
  2. Table of Contents / p6 (0011.jp2)
  3. INTRODUCTION / p1 (0019.jp2)
  4. 1.DIFFERENCE APPROXIMATION PROBLEMS FOR SPATIALLY ONE DIMENSIONAL CONSTANT COEFFICIENT CONVECTIVE DIFFUSION EQUATION WITH PERIODIC BOUNDARY CONDITION / p11 (0029.jp2)
  5. 1.1.Model Problem / p11 (0029.jp2)
  6. 1.2.Difference Operators Approximating Spatially Differential Operators / p11 (0029.jp2)
  7. 1.3.Notion of von Neumann Condition and That of ε-Stability Condition for Euler Type Temporal Discretization Method / p13 (0031.jp2)
  8. 1.4.Runge-Kutta Type Temporal Discretization Method / p16 (0034.jp2)
  9. 1.5.Stability Condition for Runge-Kutta Type Method / p18 (0036.jp2)
  10. 2.VON NEUMANN STABILITY ANALYSIS / p24 (0042.jp2)
  11. 2.1.Characterization of von Neumann Stability Condition / p24 (0042.jp2)
  12. 2.2.Proof of Theorem2.1 / p27 (0045.jp2)
  13. 2.3.Numerical Investigation / p37 (0055.jp2)
  14. 3.ε-STABILITY ANALYSIS / p40 (0058.jp2)
  15. 3.1.Characterization of ε-Stability Condition / p40 (0058.jp2)
  16. 3.2.Proof of Theorem3.1 / p47 (0065.jp2)
  17. 4.INVESTIGATION OF THE UPWINDING DIFFERENCE FORMULA OF KAWAMURA TYPE / p53 (0071.jp2)
  18. 4.1.Illustration of ε-Stability Region / p53 (0071.jp2)
  19. 4.2.Maximum Value of Amplification Factor|G| / p54 (0072.jp2)
  20. 4.3.Effect of Rounding Error / p54 (0072.jp2)
  21. 4.4.Non-linear Simulation / p56 (0074.jp2)
  22. 4.5.Attempt for Optimization of the Diffusion Term of 4th Order / p59 (0077.jp2)
  23. 4.6.Superiority of the Upwinding Difference Formula of Kawamura Type / p65 (0083.jp2)
  24. 5.STABILITY ANALYSIS FOR TIME INETEGRATION SCHEME OF RUNGE-KUTTA TYPE / p69 (0087.jp2)
  25. 5.1.Stability Analysis for Purely Convective Problem / p69 (0087.jp2)
  26. 5.2.Proof of Theorem5.1 / p71 (0089.jp2)
  27. 5.3.Numerical Investigation of Stability / p79 (0097.jp2)
  28. 6.ERROR ANALYSIS FOR TIME INTEGRATION SCHEME OF RUNGE-KUTTA TYPE / p84 (0102.jp2)
  29. 6.1.Error Estimate for Convective Diffusion Difference Problem / p84 (0102.jp2)
  30. 6.2.Proof of Theorem6.1 / p87 (0105.jp2)
  31. 6.3.Numerical Investigation of Error Estimate / p99 (0117.jp2)
  32. CONCLUSION / p101 (0119.jp2)
  33. REFERENCES / p124 (0142.jp2)
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各種コード

  • NII論文ID(NAID)
    500000132157
  • NII著者ID(NRID)
    • 8000000966778
  • DOI(NDL)
  • NDL書誌ID
    • 000000296471
  • データ提供元
    • NDL-OPAC
    • NDLデジタルコレクション
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