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Title: An Unconditionally Monotone C 2 Quartic Spline Method with Nonoscillation Derivatives

Here, a one-dimensional monotone interpolation method based on interface reconstruction with partial volumes in the slope-space utilizing the Hermite cubic-spline, is proposed. The new method is only quartic, however is C 2 and unconditionally monotone. A set of control points is employed to constrain the curvature of the interpolation function and to eliminate possible nonphysical oscillations in the slope space. An extension of this method in two-dimensions is also discussed.
Authors:
 [1] ;  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Report Number(s):
LLNL-JRNL-742107
Journal ID: ISSN 2160-0368
Grant/Contract Number:
AC52-07NA27344
Type:
Accepted Manuscript
Journal Name:
Advances in Pure Mathematics
Additional Journal Information:
Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2160-0368
Publisher:
Scientific Research Publishing, Inc.
Research Org:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; Monotone Interpolation; Quartic; Non-Oscillation Derivative; Interface Reconstruction; Slope Space; Hermit Spline
OSTI Identifier:
1420288