Scholarlink

<p>By using a strategy that accounts for fading phase-lag, phase-lag and all of its derivatives up to order six can be eliminated. The <b>cost-efficient approach</b> is a new strategy whose aims are to boost algebraic order (<i>AOR</i>) and reduce function evaluations (<i>FEVs</i>). The symbolic representation of the one-of-a-kind approach is <i>PF</i>6<i>DPHFITN</i>142<i>SPS</i>. This method is infinitely periodic since it is <b>P-Stable</b>. The proposed method is general enough to address a large class of periodic and oscillatory problems. This new method was used to solve the difficult problem of Schrödinger-type coupled differential equations in quantum chemistry. Given that each stage only requires <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10910_2024_1701_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="63" /> </InlineMediaObject> <EquationSource Format="TEX">\(5 \, FEVs\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>5</mn> <mspace width="0.166667em" /> <mi>F</mi> <mi>E</mi> <mi>V</mi> <mi>s</mi> </mrow> </math></EquationSource> </InlineEquation>, the new method could be seen as a cost-effective strategy. With a <i>AOR</i> of 14, we can greatly enhance our current situation.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The application of a fourteenth-order phase-fitting approach to enhance chemical problem-solving

  • 期刊论文

  • 发表日期：

    2025年1月31日

查看全文
  • Chia-Liang Lin,
  • T. E. Simos

摘要

By using a strategy that accounts for fading phase-lag, phase-lag and all of its derivatives up to order six can be eliminated. The cost-efficient approach is a new strategy whose aims are to boost algebraic order (AOR) and reduce function evaluations (FEVs). The symbolic representation of the one-of-a-kind approach is PF6DPHFITN142SPS. This method is infinitely periodic since it is P-Stable. The proposed method is general enough to address a large class of periodic and oscillatory problems. This new method was used to solve the difficult problem of Schrödinger-type coupled differential equations in quantum chemistry. Given that each stage only requires \(5 \, FEVs\) 5 F E V s , the new method could be seen as a cost-effective strategy. With a AOR of 14, we can greatly enhance our current situation.