<citation_record ProductShortName="ASTFT">




<ud>20000424</ud>


<rectype><rectype_code>ART</rectype_code><rectype_disp>Article</rectype_disp></rectype>



<an>200000100426002002</an>


<au><pas><pa>
<last_name>Wu</last_name>
<first_name>Xin-Yuan</first_name>




</pa><pa>
<last_name>Xia</last_name>
<first_name>Jian-Lin</first_name>




</pa></pas></au>



<ti><tittxt>An Explicit Two-Step Method Exact for the <b>Scalar</b> Test Equation <i>y<sup>'</sup> = <sup>λϐ</sup>y</i>
</tittxt></ti>


<la><la_code>eng</la_code><la_disp>English</la_disp></la>

<pd><pd_code>bibl</pd_code><pd_disp>bibliography</pd_disp></pd>


<su>
<subject>~/Differential Equations/~</subject>
<subject>~/Numerical stability/~</subject>
<subject>~/Stiffness / Mathematical Models/~</subject>
</su>

<py>2000</py>


<ab>An explicit two-step method exact for the <b>scalar</b> test equation <i>y<sup>'</sup> = <sup>λϐ</sup>y</i>, Re(λϐ) &lt; 0 is presented in this paper.  It is exponetially fitted, L-stable (thus A-stable), and of order 2.  With a new set of vector computations, we also extend directly the method to systems of ordinary differential equations.  The numeric experiments demonstrate that this explicit two-step method is suitable for stiff systems.</ab>




<dt>Feature</dt>
<so>
<ji>
<jna>COMAP</jna>
<jn>~Computers and Mathematics with Applications~</jn>

<issn>0040-165X</issn>





<dpb><year>2000</year><month>March</month><chronology>03</chronology></dpb>

<volume>39</volume>
<issue>5/6</issue>

</ji>

<ppg><fpg>249</fpg><lpg>257</lpg><numpg>9</numpg></ppg>



</so>



<ur>http://ft.hwwilson.com/html/199700100426002002</ur>
<urlimg>http://ft.hwwilson.com/pdf/199700100426002002</urlimg>




<uri><uri_ft>Y</uri_ft><uri_pdf>P</uri_pdf></uri></citation_record>