Search results for: SMALL PARAMETER EXPANSION

• Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models

  Publication

  • M. Danielewski
  • H. Leszczyński
  • A. Szafrańska

  - Interdisciplinary Sciences-Computational Life Sciences - Year 2017

  Ternary diffusion models lead to strongly coupled systems of PDEs. We choose the smallest diffusion coefficient as a small parameter in a power series expansion whose components fulfill relatively simple equations. Although this series is divergent, one can use its finite sums to derive feasible numerical approximations, e.g. finite difference methods (FDMs).

  Full text available to download

• Experiences from operation of various expansion devices in small scale ORC

  Publication

  • D. Mikielewicz
  • J. Wajs
  • J. Mikielewicz
  • K. Kosowski

  - Year 2014

  The main aim of this paper was to present various expansion devices for an application in the small scale ORC system. The investigations were carried out in two parallel directions. One direction was to design and construct a device dedicated to the analyzed ORC system. The second direction was to adapt existing expansion devices for the needs of the analyzed ORC system. Four various devices were described and presented together...

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a small critical neighborhood

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a very small critical neighborhood

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the cubic map as a function of the parameter

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the unimodal map with γ=1.5 as a function of the parameter

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the unimodal map with γ=2.5 as a function of the parameter

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a large range of parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, using the “uniform” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, using the “critical” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.