アンドレアス・フロマー

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出典: フリー百科事典『ウィキペディア（Wikipedia）』

アンドレアス・フロマー（Andreas Frommer、1960年 - ）は数値解析・数値線形代数などを専門とするドイツの数学者である。

著書・編集[編集]

精度保証付き数値計算[編集]

「精度保証付き数値計算」も参照
  • Alefeld, G., Frommer, A., & Lang, B. (1996). Scientific Computing and Validated Numerics: Proceedings of the International Symposium on Scientific Computing, Computer Arithmetic and Validated Numbers Scan-95 Held in Wuppertal, Germany, September 26-29, 1995. John Wiley & Sons, Inc..
  • Alt, R., Frommer, A., Kearfott, R. B., & Luther, W. (Eds.). (2004). Numerical Software with Result Verification: International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 19-24, 2003, Revised Papers (Vol. 2991). en:Springer Science & Business Media.

QCD[編集]

  • Boriçi, A., Frommer, A., Joó, B., Kennedy, A., & Pendleton, B. (2003, June). QCD and numerical analysis III. In Proceedings of the third international workshop on numerical analysis and lattice QCD, Edinburgh, UK.
  • Frommer, A., Lippert, T., Medeke, B., & Schilling, K. (Eds.). (2012). Numerical Challenges in Lattice Quantum Chromodynamics: Joint Interdisciplinary Workshop of John Von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal University, August 1999 (Vol. 15). en:Springer Science & Business Media.

代表的な論文[編集]

単著[編集]

  • BiCGStab (ℓ) for families of shifted linear systems, A Frommer - Computing, 2003.

共著[編集]

  • Convergence of relaxed parallel multisplitting methods, A Frommer, G Mayer - Linear Algebra and its Applications, 1989.

1990年代[編集]

  • H-splittings and two-stage iterative methods, A Frommer, DB Szyld - en:Numerische Mathematik, 1992.
  • Accelerating Wilson fermion matrix inversions by means of the stabilized biconjugate gradient algorithm, A Frommer, V Hannemann, B Nöckel, T Lippert et al. - International Journal of Modern Physics C, 1994.
  • Asynchronous two-stage iterative methods, A Frommer, DB Szyld - en:Numerische Mathematik, 1994.
  • A parallel SSOR preconditioner for lattice QCD, S Fischer, A Frommer, U Glässner, T Lippert et al. - Computer Physics Communications, 1996.
  • Asynchronous weighted additive Schwarz methods, A Frommer, H Schwandt, DB Szyld - Electronic Transactions on Numerical Analysis, 1997.
  • Restarted GMRES for shifted linear systems, A Frommer, U Glässner - en:SIAM Journal on Scientific Computing, 1998.
  • Efficient schemes for nearest neighbor load balancing, R Diekmann, A Frommer, B Monien - Parallel computing, 1999.
  • Weighted max norms, splittings, and overlapping additive Schwarz iterations, A Frommer, DB Szyld - en:Numerische Mathematik, 1999.
  • Fast CG-Based Methods for Tikhonov--Phillips Regularization, A Frommer, P Maass - en:SIAM Journal on Scientific Computing, 1999.[1]

2000年代[編集]

2010年代[編集]

  • Adaptive aggregation-based domain decomposition multigrid for the lattice Wilson--Dirac operator, A Frommer, K Kahl, S Krieg, B Leder, M Rottmann - en:SIAM Journal on Scientific Computing, 2014.
  • Alexandrou, C., Bacchio, S., Finkenrath, J., Frommer, A., Kahl, K., & Rottmann, M. (2016). Adaptive aggregation-based domain decomposition multigrid for twisted mass fermions. Physical Review D, 94(11).
  • Brannick, J., Frommer, A., Kahl, K., Leder, B., Rottmann, M., & Strebel, A. (2016). Multigrid preconditioning for the overlap operator in lattice QCD. en:Numerische Mathematik, 132(3), 463-490.
  • Frommer, A., Lund, K., & Szyld, D. B. (2017). Block Krylov subspace methods for functions of matrices. Electronic Transactions on Numerical Analysis, 47, 100-126.
  • Frommer, A., Lund, K., Schweitzer, M., & Szyld, D. B. (2017). The Radau-Lanczos Method for Matrix Functions. en:SIAM Journal on Matrix Analysis and Applications, 38(3), 710-732.

脚注・出典[編集]

  1. ^ ここでのCGは "conjugate gradient" (共役勾配) の略である

関連項目[編集]

外部リンク[編集]

スタブアイコン

この項目は、数学者に関連した書きかけの項目です。この項目を加筆・訂正などしてくださる協力者を求めています（プロジェクト:人物伝／Portal:自然科学）。

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