Is the Half Step Scheme Truly TVD? Help Needed to Prove It

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Discussion Overview

The discussion revolves around the challenge of proving that a half step scheme is Total Variation Diminishing (TVD). Participants are seeking assistance with this mathematical and theoretical problem, which involves concepts related to numerical methods and stability criteria.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant expresses difficulty in proving the TVD property of a half step scheme and requests tips for assistance.
  • Another participant directs the original poster to the appropriate homework forums for further help.
  • A subsequent reply emphasizes the importance of expanding acronyms used in the discussion, specifically mentioning TVD and CFL, indicating potential confusion over their meanings.

Areas of Agreement / Disagreement

The discussion does not present any consensus or disagreement on the mathematical claim itself, as the focus is primarily on seeking help and clarifying terminology.

Contextual Notes

There are limitations regarding the clarity of acronyms used in the original problem statement, which may affect understanding among participants.

Who May Find This Useful

This discussion may be useful for students or researchers interested in numerical methods, particularly those working with stability analysis in computational schemes.

martizzle
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Hi,

I'm trying to prove a half step scheme is TVD and I'm stuck. I wasn't sure how to type it all here so I typed it up in latex, see attached pdf for the problem. Any tips would be much appreciated.

Thanks.
 

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Physics news on Phys.org
Thanks for the direction. I posted it there.
 
In future posts, please expand acronyms such as TVD and CFL, which is used in the document you attached. I presume that the latter isn't short for Canadian Football League or Compact Fluorescent Light.
 
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