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Title: An Unconditionally Monotone C2 Quartic Spline Method with Nonoscillation Derivatives

Journal Article · · Advances in Pure Mathematics
 [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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 C2 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.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1420288
Report Number(s):
LLNL-JRNL-742107
Journal Information:
Advances in Pure Mathematics, Vol. 8, Issue 1; ISSN 2160-0368
Publisher:
Scientific Research Publishing, Inc.Copyright Statement
Country of Publication:
United States
Language:
English

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