圖示 系所成員
陸林天
職稱: 教授
公告者:ywtseng | 公告時間:2018/2/10
陸林天
姓名: 陸林天
職稱: 教授
研究室: 一研210
E-Mail: ltluh@pu.edu.tw
分機: 15126
專長: 科學計算方法

陸林天 Luh, Lin-Tian

最高學歷:

德國哥廷根大學數學博士

職  稱:

教授

專長學科:

[1]逼近論

[2]數值數學

[3]分析拓樸

 

學位論文:

  1. Luh, Lin-Tian (1998/5). Characterizations of Native Spaces. Ph.D. dissertation, Georg-August-Universi?t G?ttingen, Germany.
  2. Luh, Lin-Tian (1985/1). On Regular Open Sets. Master Thesis, Oxford University, U.K.

著作目錄

A.期刊論文:

  1. Luh, Lin-Tian (2019/1). The choice of the shape parameter--A friendly approach. EABE, Vol. 98 , p.p.103 -109 .[SCI]
  2. Luh, Lin-Tian (2016/1). The mystery of the shape parameter III. Appl. Comput. Harmon. Anal. [SCI](IF 2.904), No. 4 0 , p.p.186 -99 .[SCI]
  3. Luh, Lin-Tian (2014/7). The Mystery of the Shape Parameter IV. Eng Anal Boundary Elem[SCI](IF1.643), Vol. 48 , p.p.24 -31 .[SCI]
  4. Luh, Lin-Tian (2013/6). The Shape Parameter in the Gaussian Function II. Eng Anal Boundary Elem[SCI](IF1.643), Vol. 37 , No. 5 , p.p.988 -93 .[SCI]
  5. Luh, Lin-Tian (2012/11). The Shape Parameter in the Shifted Surface Spline III. Eng Anal Boundary Elem[SCI](IF:1.625), Vol. 36 , p.p.1604 -1617 .[SCI]
  6. Luh, Lin-Tian (2012/2). The Shape Parameter in the Gaussian Function. Comput Math Appl[SCI](IF:2.069), No. 63 , p.p.687 -694 .[SCI]
  7. Luh, Lin-Tian (2011/4/30). A Fast Convergent Error Bound for Gaussian Interpolation. Progress in Applied Mathematics[DOAJ], Vol. 1 , No. 2 , p.p.1 -11 .
  8. Luh, Lin-Tian (2011/1/15). The Crucial Constant in the Exponential-Type Error Estimate for Shifted Surface Spline Interpolation. International Journal of Numerical Methods and Applications[MathSciNet], Vol. 5 , No. 1 , p.p.1 -14 .
  9. Luh, Lin-Tian (2010/11/30). A New Error Bound for Shifted Surface Spline Interpolation. Studies in Mathematical Sciences[DOAJ], Vol. 1 , No. 1 , p.p.1 -12 .
  10. Luh, Lin-Tian (2010/2). The Matching of the Derivatives in the Exponential-type Error Estimates of Radial Basis Functions. Oriental Journal of Mathematics, Vol. 2 , No. 1 , p.p.1 -10 .
  11. Luh, Lin-Tian (2009/6). An Improved Error Bound for Multiquadric and Inverse Multiquadric Interpolations. International Journal of Numerical Methods and Applications[MathSciNet], Vol. 1 , No. 2 , p.p.101 -120 .
  12. Luh, Lin-Tian (2009/6). On Wu and Schaback's Error Bound. International Journal of Numerical Methods and Applications[MathSciNet], Vol. 1 , No. 2 , p.p.140 -160 .
  13. Luh, Lin-Tian (2008/6). The Crucial Constants in the Exponential-type Error Estimates for Gaussian Interpolation. Analysis in Theory and Applications[Scopus], Vol. 24 , No. 2 , p.p.183 -194 .
  14. Luh, Lin-Tian (2001/1). The Embedding Theory of Native Spaces. Approximation Theory and its Application[MathSciNet], Vol. 17 , No. 4 , p.p.90 -104 .
  15. Luh, Lin-Tian (2001/1). The Equivalence Theory of Native Spaces. Approximation Theory and its Application[MathSciNet], Vol. 17 , No. 1 , p.p.76 -96 .

B.會議論文:

  1. Luh, Lin-Tian (2018/6/28-2018/7/4). The Optimal Choice of the Shape Parameter in Smooth RBFs. French SIAM,9th International Conference on Curves and Surfaces, Arcachon. .
  2. Luh, Lin-Tian (2017/7/11-2017/7/13). The Choice of the Shape Parameter in a Purely Scattered Data Setting II. BeTeq,18th International Conference on Boundary Element and Meshless Techniques. .
  3. Luh, Lin-Tian (2016/7/11-2016/7/13). The Choice of the Shape Parameter in a Purely Scattered Data Setting. BeTeq,17th International Conference on Boundary Element and Meshless Techniques, 2016, Ankara. .
  4. Luh, Lin-Tian (2015/7/6-2015/7/8). A Direct Prediction of the Optimal Choice of the Shape Parameter in the Radial Basis Functions. BeTeq,International Conference on Boundary Element and Meshless Techniques XVI. .
  5. Luh, Lin-Tian (2014/7/15-2014/7/17). The Shape Parameters in the Radial Basis Functions. BeTeq,15th International Conference on Boundary Element Technique and Mesh Reduction Methods. .
  6. Luh, Lin-Tian (2013/8/26-2013/8/30). The Criteria of Choosing the Shape Parameter for Radial Basis Function Interpolations. ENUMATH,ENUMATH 2013, Laussane. .
  7. Luh, Lin-Tian (2012/6/28-2012/7/3). Evenly Spaced Data Points and the Shape Parameter in the Multiquadric Function. University of Oslo,The Eigth International Conference on Mathematical Methods for Curves and Surfaces. .
  8. Luh, Lin-Tian (2011/6/28). Evenly Spaced Data Points and Radial Basis Functions. Boundary Elements and other Mesh Reduction Methods XXXIII(MathSciNet and Scopus) (p.p.265-272). :Wessex Institute of Technology.
  9. Luh, Lin-Tian (2010/6/24-2010/6/30). The Choice of the Shape Parameter. SMAI-AFA,The Seventh International Conference on Curves and Surfaces. Avignon, France.
  10. Cheng, Alexander*, Luh, Lin-Tian, Huang, C.S. (2009/9/31-2009). Shape Factor in Multiquadric Collocation for High Accuracy Interpolation. BEM,Boundary Element Methods. New Forest, UK.
  11. Luh, Lin-Tian (2009/6/29-2009/7/3). RBF:The Optimal Choice for the Shape Paramater. University of Uppsala,The Eighth European Conference on Numerical Mathematics and Applications. Uppsala, Sweden.
  12. Luh, Lin-Tian (2008/6/26-2008/7/1). An Improved Error Bound for Gaussian Interpolation. The Norwegian Association of Approximation Theory,The Seventh International Conference on Mathematical Methods for Curves and Surfaces. Tonsberg, Norway.
  13. Luh, Lin-Tian (2007/7). An Extension of the Exponential-Type Error Bounds for Multiquadric and Gaussian Interpolations. Proceedings of the ECCOMAS Thematic Conference on Meshless Methods,2007/7, Porto, Portugal:ECCOMAS (p.p.227-231). Porto, Portugal:ECCOMAS.
  14. Luh, Lin-Tian (2006/6/29-2006/7/5). On the High-Level Error Bound for Gaussian Interpolation. SMAI-AFA,The Sixth International Conference on Curves and Surfaces. Avignon, France.
  15. Luh, Lin-Tian (2005/7). On The High-Level Error Bound for Multiquadric and Inverse Multiquadric Interpolations. Proceedings of the ECCOMAS Thematic Conference on Meshless Methods (p.p.C23.1-C23.6). Portugal:ECCOMAS.
  16. Luh, Lin-Tian (2004/7/1-2004/7/7). On Wu and Schaback's Function Space. The Mathematical Methods for Curves and Surfaces. Tromso, Norway.
  17. Luh, Lin-Tian (2002/6/27-2002/7/3). Sobolev Spaces and Native Spaces. The Fifth International Conference on Curves and Surfaces. Saint-Malo, France.
  18. Luh, Lin-Tian (1999/1). Characterizations of Native Spaces. Curves and Surfaces Fitting (p.p.300-307). Saint-Malo, France.

D.研究報告(研究計畫):

  1. 陸林天 (2018/8/1 - 2019/7/31)The Theory and Applications of Radial Basis Bunctions (科技部計畫,NSC107-2115-M-126-005 )
  2. 陸林天 (2017/8/1 - 2018/9/30)The Theory and Applications of Radial Basis Functions (科技部計畫,NSC106-2115-M-126-005 )
  3. 陸林天 (2016/8/1 - 2017/7/31)The Theory and Applications of Radial Basis Functions (科技部計畫,105-2115-M-126-004 )
  4. 陸林天 (2015/8/1 - 2016/9/30)The Theory and Applications of Radial Basis Functions (科技部計畫,104-2115-M-126-004 )
  5. 陸林天 (2013/8/1 - 2014/7/31)徑向基函數之理論及應用 (科技部計畫,NSC102-2115-M-126-006 )
  6. 陸林天 (2004/8/1 - 2006/7/31)徑向基函數之理論及應用 (科技部計畫,NSC93-2115-M-126-004 )
  7. 陸林天 (2002/8/1 - 2003/7/31)徑向基函數之理論及應用 (科技部計畫,NSC91-2115-M-126-002 )
  8. 陸林天 (2003/8/1 - 2005/7/31)徑向基函數之理論及應用 (靜宜大學,92-11100-B07)

H.學術榮譽與活動:

  1. 陸林天 (2011/1-2014/1)Progress in Applied Mathematicseditor
  2. 陸林天 (2010/11-2011/12)Studies in Mathematical Scienceseditor

I.其他著述:

  1. Luh, Lin-Tian(2007/5/31). The Key Results of RBF. 專題演講.
  2. Luh, Lin-Tian(2007/5/18). A Simple Introduction and Recent Development of RBF. 專題演講.

 

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