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

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The discussion focuses on proving that a half step scheme is Total Variation Diminishing (TVD). The original poster is seeking assistance and has provided a detailed problem in a LaTeX document. Participants suggest using homework forums for more targeted help and request clarification on acronyms like TVD and CFL for better understanding. The conversation emphasizes the importance of clear communication in technical discussions. The original poster has been directed to post in the appropriate forum for further assistance.
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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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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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