
5005TextSStiffDifferentialEquations
05 Mar 2019  Technique Narratives  Contributor(s): Kurt Bryan
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.
Stiffness is a property that a system of...
https://simiode.org/resources/5946

1003STextIntroNumericalMethods
10 Jan 2019  Technique Narratives  Contributor(s): Brian Winkel
We ask students to develop two numerical methods for solving first order differential equations geometrically and to compute numeric solutions and compare them to the analytic solutions for...
https://simiode.org/resources/5830

1015TextSDimensionlessVariables
25 Aug 2018  Technique Narratives  Contributor(s): Kurt Bryan
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the introduction of dimensionless variables. In practice this is an extremely common...
https://simiode.org/resources/5125

2001TextSNumericalMethodsComparisons
18 Aug 2018  Technique Narratives  Contributor(s): Swarn Singh
It is not always possible to solve a differential equation analytically.This material makes an effort to teach the basics of numerical methods for first order differential equations by following...
https://simiode.org/resources/5034

9001TextSSkinBurnModelNumericalMethods
18 Aug 2018  Technique Narratives  Contributor(s): Suruchi Singh
The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It...
https://simiode.org/resources/5019

5030STextLinNonHomoSystemSol
26 Aug 2016  Technique Narratives  Contributor(s): Brian Winkel
We offer strategies for solving linear systems of nonhomogeneous differential equations of the form X'(t) = A X(t) + G(t) using a conjectured solution strategy for a system of constant...
https://simiode.org/resources/2709

7006STextLaplaceTransformBirth
24 Feb 2016  Technique Narratives  Contributor(s): Sania Qureshi
We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.
https://simiode.org/resources/1510

5012STextLinearSystemConjecture
17 Sep 2015  Technique Narratives
https://simiode.org/resources/1237

7005STextLaplaceTransformOverview
06 Jun 2015  Technique Narratives  Contributor(s): Brian Winkel
https://simiode.org/resources/878

8002STextTrigSumRepresentation
04 Jun 2015  Technique Narratives  Contributor(s): Brian Winkel
Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields.
https://simiode.org/resources/659

3090STextChebyshevPolynomialSolution
03 Jun 2015  Technique Narratives  Contributor(s): FR Gabriel Costa
https://simiode.org/resources/500

1009STextBifurcation
31 May 2015  Technique Narratives  Contributor(s): Edward Swim
https://simiode.org/resources/316

1002STextIntegratingFactor
30 May 2015  Technique Narratives  Contributor(s): Brian Winkel
https://simiode.org/resources/172

1001STextSeparationOfVariables
30 May 2015  Technique Narratives  Contributor(s): Brian Winkel
Brian Winkel is Emeritus Professor of Mathematical Sciences at the United States Military Academy at West Point and Director of SIMIODE
https://simiode.org/resources/149