Numerical Methods for Stiff and Quadratic Differential Equations and For Josephson Equations.

Abstract

Stability results for one-leg methods, valid for linear variable coefficient equations and certain nonlinear systems, and for arbitrary variable integration steps, were gotten by linear and nonlinear contractivity analysis. Nonlinear A- and A(alpha)-stability results for multistep methods were obtained by Fourier transform methods. Numerical and analytic results were given for solutions of the equations governing extended Josephson junctions or two-junction interferometers. Special methods were derived for solving quadratic systems of differential equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1982
Accession Number
ADA120268

Entities

People

  • Farouk Odeh
  • Werner Liniger

Organizations

  • IBM Thomas J. Watson Research Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Boundary Value Problems
  • Coefficients
  • Computations
  • Consistency
  • Convergence
  • Difference Equations
  • Differential Equations
  • Equations
  • Errors
  • Interferometers
  • Josephson Junctions
  • Nonlinear Differential Equations
  • Nonlinear Systems
  • Resonance
  • Resonant Frequency
  • Security

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra
  • Superconducting Magnet Technology