Numerical Integration of Differential Equations and Large Linear Systems : Proceedings of two Workshops Held at the University of Bielefeld Spring 1980

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書誌詳細
第一著者: Hinze, Jürgen, 1937-2008
フォーマット: Livre numérique
言語:Anglais
出版事項: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
シリーズ:Lecture notes in mathematics 968
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Edition sous un autre format:• Numerical integration of differential equations and large linear systems, proceedings of two workshops held at the University of Bielefeld, spring 1980, edited by Jürgen Hinze, 1982, Berlin, Springer-Verlag, 1 volume (VI-412 p.), Lecture notes in mathematics, 0-387-11970-1
• Numerical Integration of Differential Equations and Large Linear Systems, Texte imprimé, 9783662171868
目次:
  • An overview of the techniques in use for solving the coupled equations of scattering theory
  • Weyl's theory for second order differential equations and its application to some problems in quantum chemistry
  • The discretization of continuous infinite sets of coupled ordinary linear differential equations: Application to the collision-induced dissociation of a diatomic molecule by an atom
  • Extraction of continuum properties from L2 basis set matrix representations of the schrödinger equation: the sturm sequence polynomials and gauss quadrature
  • Approximate solution of schrödinger's equation for atoms
  • Numerical integration of linear inhomogeneous ordinary differential equations appearing in the nonadiabatic theory of small molecules
  • Computation of solenoidal (divergence-free) vector fields
  • Efficient solution of a nonlinear heat conduction problem by use of fast elliptic reduction and multigrid methods
  • Are the numerical methods and software satisfactory for chemical kinetics?
  • Optimization of nonlinear kinetic equation computation
  • Automatic detection and treatment of oscillatory and/or stiff ordinary differential equations
  • Characterization of non-linearly stable implicit Runge-Kutta methods
  • Compact deferred correction formulas
  • Solving odes in quasi steady state
  • A singular perturbations approach to reduced-order modeling and decoupling for large scale linear systems
  • Global codes for BVODEs and their comparison
  • Global error estimation in ordinary initial value problems
  • Lower bounds for the accuracy of linear multistep methods
  • Asymptotic error expansions and discrete newton methods for elliptic boundary value problems
  • The use of sparse matrix techniques in ode Codes
  • On conjugate gradient methods for large sparse systems of linearequations
  • A preconditioned tchebycheff iterative solution method for certain large sparse linear systems with a non-symmetric matrix
  • On modified incomplete factorization methods
  • Solving large sparse linear systems arising in queuing problems
  • Large eigenvalue problems in quantum chemistry
  • Variational pseudo-gradient method for determination of m first eigenstates of a large real symmetric matrix
  • Simultaneous rayleigh-quotient iteration methods for large sparse generalized eigenvalue problems
  • Large sparse unsymmetric eigenvalue problems.