LEADER 04432nam 2200625 450 001 996466579403316 005 20220911151702.0 010 $a3-540-39374-9 024 7 $a10.1007/BFb0064877 035 $a(CKB)1000000000437835 035 $a(SSID)ssj0000325310 035 $a(PQKBManifestationID)12124327 035 $a(PQKBTitleCode)TC0000325310 035 $a(PQKBWorkID)10320375 035 $a(PQKB)10936484 035 $a(DE-He213)978-3-540-39374-0 035 $a(MiAaPQ)EBC5592352 035 $a(Au-PeEL)EBL5592352 035 $a(OCoLC)1066194221 035 $a(MiAaPQ)EBC6842186 035 $a(Au-PeEL)EBL6842186 035 $a(OCoLC)1294147027 035 $a(PPN)155201654 035 $a(EXLCZ)991000000000437835 100 $a20220911d1982 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aNumerical integration of differential equations and large linear systems $eproceedings of two workshops held at the University of Bielefeld, Spring 1980. /$fedited by Juergen Hinze 205 $a1st ed. 1982. 210 1$aBerlin, Germany :$cSpringer-Verlag,$d[1982] 210 4$d©1982 215 $a1 online resource (VIII, 416 p.) 225 1 $aLecture Notes in Mathematics ;$v968 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-11970-1 327 $aAn 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. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v968. 606 $aLinear systems 606 $aDifferential equations$xNumerical solutions$xData processing 606 $aMathematical analysis 615 0$aLinear systems. 615 0$aDifferential equations$xNumerical solutions$xData processing. 615 0$aMathematical analysis. 676 $a519.2 702 $aHinze$b Ju?rgen$f1937- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466579403316 996 $aNumerical integration of differential equations and large linear systems$979958 997 $aUNISA