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Books in Partial differential equations

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Numerical Approximation of Partial Differential Equations

  • 1st Edition
  • Volume 133
  • February 1, 1987
  • E.L. Ortiz
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 4 4 - 5
This selection of papers is concerned with problems arising in the numerical solution of differential equations, with an emphasis on partial differential equations. There is a balance between theoretical studies of approximation processes, the analysis of specific numerical techniques and the discussion of their application to concrete problems relevant to engineering and science. Special consideration has been given to innovative numerical techniques and to the treatment of three-dimensional and singular problems. These topics are discussed in several of the invited papers.The contributed papers are divided into five parts: techniques of approximation theory which are basic to the numerical treatment of differential equations; numerical techniques based on discrete processes; innovative methods based on polynomial and rational approximation; variational inequalities, conformal transformation and asymptotic techniques; and applications of differential equations to problems in science and engineering.

Recent Topics in Nonlinear PDE II

  • 1st Edition
  • September 1, 1986
  • K. Masuda + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 3 9 - 1
This volume is the result of lectures delivered at the second meeting on the subject of nonlinear partial differential equations, held at Tohoku University, 27-29 February 1984. The topics presented at the conference range over various fields of mathematical physics.

Stability of Functional Differential Equations

  • 1st Edition
  • January 28, 1986
  • V.B. Kolmanovskii + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 6 3 1 4 - 3
This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables.

Singularities & Dynamical Systems

  • 1st Edition
  • Volume 103
  • January 1, 1985
  • S.N. Pnevmatikos
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 2 1 4 - 8
This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests.

Coupled Nonlinear Oscillators

  • 1st Edition
  • Volume .
  • January 1, 1983
  • J. Chandra + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 1 9 1 - 2

Differential Equations, Dynamical Systems, and Linear Algebra

  • 1st Edition
  • June 28, 1974
  • Morris W. Hirsch + 2 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 3 7 6 - 3
This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.