04432nam 2200625 450 99646657940331620220911151702.03-540-39374-910.1007/BFb0064877(CKB)1000000000437835(SSID)ssj0000325310(PQKBManifestationID)12124327(PQKBTitleCode)TC0000325310(PQKBWorkID)10320375(PQKB)10936484(DE-He213)978-3-540-39374-0(MiAaPQ)EBC5592352(Au-PeEL)EBL5592352(OCoLC)1066194221(MiAaPQ)EBC6842186(Au-PeEL)EBL6842186(OCoLC)1294147027(PPN)155201654(EXLCZ)99100000000043783520220911d1982 uy 0engurnn|008mamaatxtccrNumerical integration of differential equations and large linear systems proceedings of two workshops held at the University of Bielefeld, Spring 1980. /edited by Juergen Hinze1st ed. 1982.Berlin, Germany :Springer-Verlag,[1982]©19821 online resource (VIII, 416 p.) Lecture Notes in Mathematics ;968Bibliographic Level Mode of Issuance: Monograph3-540-11970-1 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 linear equations -- 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.Lecture notes in mathematics (Springer-Verlag) ;968.Linear systemsDifferential equationsNumerical solutionsData processingMathematical analysisLinear systems.Differential equationsNumerical solutionsData processing.Mathematical analysis.519.2Hinze Jürgen1937-MiAaPQMiAaPQMiAaPQBOOK996466579403316Numerical integration of differential equations and large linear systems79958UNISA