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Applied Mathemetics Ⅰ

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    • Category : Natural Sciences > Math
    • Keyword : Regular Perturbation Method,Allen-Cahn,Willmore Problem,Euler-Lagrange Equation,Wulff Construction
    • Taught by : Junsuk Kim
    • Created By : Korea University
    • Offered By : KOCW
    • Date Added : 2016.12.26

    In this coursewe learn how to apply calculus of variation to derive mathematical models of physical phenomenaWe learn regular perturbation methodlubrication approximationAllen-CahnCahn-HilliardWillmore problemGreen’s functionEuler-Lagrange equationWulff constructionKdV equationthin-film equationand block-coplymer equation.

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Number of lessons: 14 facebook twitter line whatsapp kakaotalk

차시별 강의
No Contents Type & Play Subject Description URL
1. Type docunent Subject Description
  • This lecture identifies the principles of Euler-Lagrange equations, Constrained problems
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2. Type docunent Subject Description
  • This lecture identifies the principles of Green function for ODE, MATLAB Code
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3. Type docunent Subject Description
  • This lecture identifies the principles of Sinc function, MATLAB Code
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4. Type docunent Subject Description
  • This course identifies the principles of Allen-Cahn equation, Applications of Allen-Cahn equation, Previous numerical schemes, New hybrid scheme, Stability and accuracy test, Mean curvature flow
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5. Type docunent Subject Description
  • This course identifies the principles of Variational differentiation (Def), Governing equation, Free energy functional, Simulation of the steady state in 2D/3D
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6. Type docunent Subject Description
  • This course identifies the principles of the equations of motion
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7. Type docunent Subject Description
  • This course identifies the principles of Wulff construction
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8. Type docunent Subject Description
  • This course identifies the principles of the KdV equation
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9. Type docunent Subject Description
  • This course identifies the principles of Korteweg-de Vries equation
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10. Type docunent Subject Description
  • This course identifies the principles of Derivation of thin film equation
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11. Type docunent Subject Description
  • This course identifies the principles of Derivation of thin film equation
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12. Type docunent Subject Description
  • This course identifies the principles of Cahn-Hilliard(CH) equation, Derivation of CH equation
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13. Type docunent Subject Description
  • This course identifies the principles of a Phase-field approach
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14. Type docunent Subject Description
  • This course identifies the principles of Regular perturbation, Regular perturbation method, The projectile problem
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