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  1. 5-005-Text-S-StiffDifferentialEquations

    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

  2. 1-003-S-Text-IntroNumericalMethods

    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

  3. 1-015-Text-S-DimensionlessVariables

    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

  4. 2-001-Text-S-NumericalMethodsComparisons

    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

  5. 9-001-Text-S-SkinBurnModelNumericalMethods

    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

  6. 5-030-S-Text-LinNonHomoSystemSol

    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

  7. 7-006-S-Text-LaplaceTransformBirth

    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

  8. 5-012-S-Text-LinearSystemConjecture

    17 Sep 2015 | Technique Narratives

    https://simiode.org/resources/1237

  9. 7-005-S-Text-LaplaceTransformOverview

    06 Jun 2015 | Technique Narratives | Contributor(s): Brian Winkel

    https://simiode.org/resources/878

  10. 8-002-S-Text-TrigSumRepresentation

    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

  11. 3-090-S-Text-ChebyshevPolynomialSolution

    03 Jun 2015 | Technique Narratives | Contributor(s): FR Gabriel Costa

    https://simiode.org/resources/500

  12. 1-009-S-Text-Bifurcation

    31 May 2015 | Technique Narratives | Contributor(s): Edward Swim

    https://simiode.org/resources/316

  13. 1-002-S-Text-IntegratingFactor

    30 May 2015 | Technique Narratives | Contributor(s): Brian Winkel

    https://simiode.org/resources/172

  14. 1-001-S-Text-SeparationOfVariables

    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