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Abstract

This chapter provides an introduction to partial differential equations (PDEs) with the aim of introducing the reader with the mathematical concepts that are used in further chapters. The chapter first introduces the general concept of PDEs and discusses various types of PDEs. Special emphasis is given to elliptic PDEs since this type of equations form the basis for the development of geometric design techniques throughout this book.

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References

  1. Axler S, Bourdon P, Ramey W (2001) Harmonic function theory. Springer, Berlin

    MATH  Google Scholar 

  2. Castro CG, Ugail H, Willis P, Palmer I (2008) A survey of partial differential equations in geometric design. Vis Comput 24(3):213–225. doi:10.1007/s00371-007-0190-z

    Article  Google Scholar 

  3. Evans G, Blackledge J, Yardley P (1999) Analytic methods for partial differential equations. Springer, Berlin

    Book  Google Scholar 

  4. Fornberg B (1996) A practical guide to pseudospectral methods. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  5. Gladwell I (1980) Survey of numerical methods for partial differential equations. Oxford University Press, London

    Google Scholar 

  6. Gottlieb D, Orzag S (1977) Numerical analysis of spectral methods: theory and applications. SIAM, Philadelphia

    Book  MATH  Google Scholar 

  7. Farlow SJ (1999) Partial differential equations for scientists and engineers. Dover, New York

    Google Scholar 

  8. Jang CL (2011) Partial differential equations: theory, analysis and applications. Nova Publ., New York

    Google Scholar 

  9. Johnson C (2009) Numerical solution of partial differential equations by the finite element method. Dover, New York

    MATH  Google Scholar 

  10. Machura M, Sweet RA (1980) A survey of software for partial differential equations. ACM Trans Math Softw 6(4):461–488. doi:10.1145/355921.355922

    Article  MathSciNet  MATH  Google Scholar 

  11. Sapiro G (2001) Geometric partial differential equations and image analysis. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  12. Smith GD (1985) Numerical solution of partial differential equations: finite difference methods. Clarendon, Oxford

    MATH  Google Scholar 

  13. Zachmanoglou EC, Thoe DW (1988) Introduction to partial differential equations with applications. Dover, New York

    Google Scholar 

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Correspondence to Hassan Ugail or Hassan Ugail .

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© 2011 Springer-Verlag London Limited

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Ugail, H. (2011). Introduction to Partial Differential Equations. In: Partial Differential Equations for Geometric Design. Springer, London. https://doi.org/10.1007/978-0-85729-784-6_3

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  • DOI: https://doi.org/10.1007/978-0-85729-784-6_3

  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-783-9

  • Online ISBN: 978-0-85729-784-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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