Difference between revisions of "Numerical Methods for Ordinary Differential Equations"

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<latex>
 
<latex>
 +
\documentclass[11pt]{article}
 +
\def\inv#1{{1 \over #1}}
 +
\def\ddt{{d \over dt}}
 +
\def\mean#1{\left\langle {#1}\right\rangle}
 +
\def\sigot{\sigma_{12}}
 +
\def\sigto{\sigma_{21}}
 +
\def\eval#1{\big|_{#1}}
 +
\def\tr{\nabla}
 +
\def\dce{\vec\tr\times\vec E}
 +
\def\dcb{\vec\tr\times\vec B}
 +
\def\wz{\omega_0}
 +
\def\ef{\vec E}
 +
\def\ato{{A_{21}}}
 +
\def\bto{{B_{21}}}
 +
\def\bot{{B_{12}}}
 +
\def\bfield{{\vec B}}
 +
\def\ap{{a^\prime}}
 +
\def\xp{{x^{\prime}}}
 +
\def\yp{{y^{\prime}}}
 +
\def\zp{{z^{\prime}}}
 +
\def\tp{{t^{\prime}}}
 +
\def\upx{{u_x^\prime}}
 +
\def\upy{{u_y^\prime}}
 +
\def\e#1{\cdot10^{#1}}
 +
\def\hf{\frac12}
 +
\def\^{\hat }
 +
\def\.{\dot }
 +
\usepackage{fullpage}
 +
\usepackage{amsmath}
 +
\usepackage{eufrak}
 +
\begin{document}
 
\subsection*{ Numerical Integration }
 
\subsection*{ Numerical Integration }

Revision as of 18:27, 8 December 2018

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<latex> \documentclass[11pt]{article} \def\inv#1Template:1 \over \def\ddtTemplate:D \over dt \def\mean#1{\left\langle {#1}\right\rangle} \def\sigot{\sigma_{12}} \def\sigto{\sigma_{21}} \def\eval#1{\big|_{#1}} \def\tr{\nabla} \def\dce{\vec\tr\times\vec E} \def\dcb{\vec\tr\times\vec B} \def\wz{\omega_0} \def\ef{\vec E} \def\ato{{A_{21}}} \def\bto{{B_{21}}} \def\bot{{B_{12}}} \def\bfieldTemplate:\vec B \def\apTemplate:A^\prime \def\xp{{x^{\prime}}} \def\yp{{y^{\prime}}} \def\zp{{z^{\prime}}} \def\tp{{t^{\prime}}} \def\upxTemplate:U x^\prime \def\upyTemplate:U y^\prime \def\e#1{\cdot10^{#1}} \def\hf{\frac12} \def\^{\hat } \def\.{\dot } \usepackage{fullpage} \usepackage{amsmath} \usepackage{eufrak} \begin{document} \subsection*{ Numerical Integration }