TY - RPRT
TI - Some remarks on the zero-stability of multiblock methods
AU - Chu, Moody T.
AU - Hamilton, H.
DA - 1987///
PY - 1987///
M3 - Preprint
ER -
TY - RPRT
TI - On a differential equation approach to the additive inverse eigenvalue problems
AU - Chu, Moody
DA - 1987///
PY - 1987///
M3 - Preprint
ER -
TY - JOUR
TI - Parallel Solution of ODE’s by Multiblock Methods
AU - Chu, Moody T.
AU - Hamilton, Hans
T2 - SIAM Journal on Scientific and Statistical Computing
AB - The notion of linear multi-step methods for solving ordinary differential equations is generalized to a class of multi-block methods. In a multi-block method step values are all obtained together in a single block advance which is accomplished by allocating the parallel tasks on separate processors. The expected benefit of multi-block methods is the speedup in the computation of solutions. The basic formulation is described. Examples are given to demonstrate the existence of such schemes. The predictor-corrector type combination is formed and the resulting stability problem is considered. Test results of one of these multi-block methods on the Denelcor HEP machine are reported.
DA - 1987/5//
PY - 1987/5//
DO - 10.1137/0908039
VL - 8
IS - 3
SP - 342-353
UR - http://dx.doi.org/10.1137/0908039
ER -
TY - RPRT
TI - Fast multiplication of polynomials over arbitrary rings
AU - Cantor, David G.
AU - Kaltofen, Erich
A3 - Rensselaer Polytechnic Institute, Department of Computer Science
DA - 1987/12//
PY - 1987/12//
M1 - 87-35
M3 - Technical Report
PB - Rensselaer Polytechnic Institute, Department of Computer Science
SN - 87-35
ER -
TY - JOUR
TI - An equivalent theorem on the numerical stability for an algorithm
AU - Huang, K
AU - Li, Zhilin
T2 - Numerical Mathematics, a Journal of Chinese Universities
DA - 1987///
PY - 1987///
VL - 9
IS - 1
SP - 59–65
ER -
TY - JOUR
TI - A generalized conjugate gradient method for solving real skew-symmetric systems
AU - Li, Zhilin
T2 - Journal on Numerical Methods & Computer Applications
DA - 1987///
PY - 1987///
VL - 8
IS - 4
SP - 31–37
ER -
TY - RPRT
TI - The elastic string equations: numerical results using Glimm’s method, and two new exact solutions
AU - Shearer, Michael
AU - Fehribach, J.
A3 - NC State University
DA - 1987///
PY - 1987///
M3 - CRSC Report
PB - NC State University
ER -
TY - CHAP
TI - Operator methods and singular control problems
AU - Campbell, Stephen L.
T2 - Operator Methods for Optimal Control Problems
A2 - Lee, Sung J
PY - 1987///
SP - 57–66
PB - Marcel Dekker
SN - 9780824778118
ER -
TY - CHAP
TI - Two methods for solving the symmetric tridiagonal eigenvalue problem on the hypercube
AU - Ipsen, I.C.F.
AU - Jessup, E.R.
T2 - Hypercube Multiprocessors
PY - 1987///
SP - 627–638
PB - Society for Industrial and Applied Mathematics
ER -
TY - RPRT
TI - ParLance: A para-functional programming environment for parallel and distributed computing
AU - Hudak, P.
AU - Delosme, J.-M.
AU - Ipsen, I.C.F.
A3 - Department of Computer Science, Yale University
DA - 1987///
PY - 1987///
M1 - 524
M3 - Research Report
PB - Department of Computer Science, Yale University
SN - 524
ER -
TY - RPRT
TI - Computing partial correlations from the data matrix
AU - Delosme, J.-M.
AU - Ipsen, I.C.F.
A3 - Department of Computer Science, Yale University
DA - 1987///
PY - 1987///
M1 - 541
M3 - Research Report
PB - Department of Computer Science, Yale University
SN - 541
ER -
TY - CHAP
TI - Efficient systolic arrays for the solution of Toeplitz systems: An illustration of a methodology for the construction of systolic architectures in VLSI
AU - Delosme, J.-M.
AU - Ipsen, I.C.F.
T2 - Systolic Arrays
PY - 1987///
SP - 37–46
PB - Adam Hilger
ER -
TY - JOUR
TI - Riemann problems for nonstrictly hyperbolic 2x2 systems of conservation laws
AU - Schaeffer, David G.
AU - Shearer, Michael
T2 - Transactions of the American Mathematical Society
AB - The Riemann problem is solved for $2 \times 2$ systems of hyperbolic conservation laws having quadratic flux functions. Equations with quadratic flux functions arise from neglecting higher order nonlinear terms in hyperbolic systems that fail to be strictly hyperbolic everywhere. Such equations divide into four classes, three of which are considered in this paper. The solution of the Riemann problem is complicated, with new types of shock waves, and new singularities in the dependence of the solution on the initial data. Several ideas are introduced to help organize and clarify the new phenomena.
DA - 1987/1/1/
PY - 1987/1/1/
DO - 10.1090/s0002-9947-1987-0906816-5
VL - 304
IS - 1
SP - 267–306
SN - 0002-9947
UR - http://dx.doi.org/10.1090/s0002-9947-1987-0906816-5
ER -
TY - JOUR
TI - Solution of the riemann problem for a prototype 2x2 system of non-strictly hyperbolic conservation laws
AU - Shearer, M.
AU - Schaeffer, D. G.
AU - Marchesin, D.
AU - Paes-Leme, P. L.
T2 - Archive for Rational Mechanics and Analysis
DA - 1987///
PY - 1987///
DO - 10.1007/bf00280409
VL - 97
IS - 4
SP - 299–320
SN - 0003-9527 1432-0673
UR - http://dx.doi.org/10.1007/bf00280409
ER -
TY - JOUR
TI - The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery
AU - Schaeffer, David G.
AU - Shearer, Michael
T2 - Communications on Pure and Applied Mathematics
AB - Communications on Pure and Applied MathematicsVolume 40, Issue 2 p. 141-178 Article The classification of 2 × 2 systems of non-strictly hyperbolic conservation laws, with application to oil recovery David G. Schaeffer, David G. Schaeffer Duke University and North Carolina State UniversitySearch for more papers by this authorMichael Shearer, Michael Shearer Duke University and North Carolina State UniversitySearch for more papers by this author David G. Schaeffer, David G. Schaeffer Duke University and North Carolina State UniversitySearch for more papers by this authorMichael Shearer, Michael Shearer Duke University and North Carolina State UniversitySearch for more papers by this author First published: March 1987 https://doi.org/10.1002/cpa.3160400202Citations: 110AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Chow, S. N., Hale, J. K., and Mallet-Paret, J., Applications of generic bifurcation II, Arch. Rat. Mech. Anal. 62, 1976, pp. 209–236. 2 Darboux, G., Theorie General des Surfaces, Chelsea, New York, 1972. 3 Golubitsky, M. and Schaeffer, D. G., A theory for imperfect bifurcation via singularity theory, Comm. Pure Appl. Math. 32, 1979, pp. 21–98. 4 Golubitsky, M., and Schaeffer, D. G., Imperfect bifurcation in the presence of symmetry, Comm. Math. Phys. 67, 1979, pp. 205–232. 5 Isaacson, E., Global solution of a Riemann problem for a non-strictly hyperbolic system of conservation laws arising in enhanced oil recovery, J. Computational Physics, to appear. 6 Isaacson, E., and Temple, J. B., Examples and classification of nonstrictly hyperbolic systems of conservation laws, Abstracts of Papers Presented to AMS. 6, 1985, p. 60. 7 Keyfitz, B. L., and Kranzer, H. C., A system of hyperbolic conservation laws arising in elasticity theory. Arch. Rational Mech. Anal. 72, 1980, pp. 219–241. 8 Keyfitz, B. L., and Kranzer, H. C., The Riemann problem for a class of conservation laws exhibiting a parabolic degeneracy, J. Differential Equations 47, 1983, pp. 35–65. 9 Lax, P. D., Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math. 10, 1957, pp. 537–566. 10 McLeod, J. B., and Sattinger, D. H., Loss of stability and bifurcation at a double eigenvalue, J. Functional Anal. 14, 1973, pp. 62–84. 11 Scheidegger, A. E., The Physics of Flow through Porous Media, 3rd edition. Univ. Toronto, 1974. 12 Shearer, M., Secondary bifurcation near a double eigenvalue, SIAM J. Math. Anal. 11, 1980, pp. 365–389. 13 Shearer, M., Schaeffer, D. G., Marchesin, D., and Paes-Leme, P. J., Solution of the Riemann problem for a prototype 2 × 2 system of non-strictly hyperbolic conservation laws, Arch. Rat. Mech. Anal., to appear. Citing Literature Volume40, Issue2March 1987Pages 141-178 ReferencesRelatedInformation
DA - 1987/3//
PY - 1987/3//
DO - 10.1002/cpa.3160400202
VL - 40
IS - 2
SP - 141-178
J2 - Comm. Pure Appl. Math.
LA - en
OP -
SN - 0010-3640 1097-0312
UR - http://dx.doi.org/10.1002/cpa.3160400202
DB - Crossref
ER -
TY - JOUR
TI - Basic representations of some affine Lie algebras and generalized Euler identities
AU - Misra, Kailash C.
T2 - Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
AB - Abstract We consider certain affine Kac-Moody Lie algebras. We give a Lie theoretic interpretation of the generalized Euler identities by showing that they are associated with certain filtrations of the basic representations of these algebras. In the case when the algebras have prime rank, we also give algebraic proofs of the corresponding identities.
DA - 1987/6//
PY - 1987/6//
DO - 10.1017/S1446788700028585
VL - 42
IS - 3
SP - 296-311
J2 - J Aust Math Soc A
LA - en
OP -
SN - 0263-6115
UR - http://dx.doi.org/10.1017/S1446788700028585
DB - Crossref
ER -
TY - JOUR
TI - Computation of Eigenvalues Associated with Functional Differential Equations
AU - Manitius, A.
AU - Tran, H.
AU - Payre, G.
AU - Roy, R.
T2 - SIAM Journal on Scientific and Statistical Computing
AB - This paper describes a method for computing the eigenvalues associated with systems of linear retarded functional differential equations (RFDE’s). The method finds the eigenvalues directly from a certain characteristic equation which is automatically determined from system matrices. The eigenvalues contained in some bounded region around the origin are approximately computed by a combinatorial algorithm suggested earlier by H. Kuhn [15] for approximations of zeros of ordinary polynomials. The eigenvalues of large modulus, which are distributed in some curvilinear strips, are computed from some asymptotic formulas obtained directly from the parameters of the characteristic equation. To verify that all the eigenvalues have been found, we use a highly reliable procedure proposed by Carpentier and Dos Santos, which evaluates the number of zeros of an analytic function in a given region. Numerical results are presented for several examples and compared with those obtained by a method based on finite-dimensional approximations of delay equations.
DA - 1987/5//
PY - 1987/5//
DO - 10.1137/0908032
VL - 8
IS - 3
SP - 222-247
J2 - SIAM J. Sci. and Stat. Comput.
LA - en
OP -
SN - 0196-5204 2168-3417
UR - http://dx.doi.org/10.1137/0908032
DB - Crossref
ER -
TY - JOUR
TI - THE EFFECTS OF OXYGEN ON FERMENTATION IN TRITRICHOMONAS-FETUS KV1 AND ITS VARIANT 1MR-100 WITH DEFECTIVE HYDROGENOSOMES
T2 - Journal of General Microbiology
DA - 1987///
PY - 1987///
UR - https://publons.com/publon/9840978/
ER -
TY -
ER -
TY - CONF
TI - Modèles et algorithmes en vue de la restauration numérique d’images rayons-X
AU - Combettes, P.L.
AU - Trussell, H.J.
T2 - Actes du Colloque MARI-Cognitiva Electronic Image
C2 - 1987/5/18/
C3 - Actes du Colloque MARI-Cognitiva Electronic Image
CY - Paris, France
DA - 1987/5/18/
PY - 1987/5/18/
SP - 146–151
ER -
TY - CONF
TI - Considerations for the restoration of stochastic degradations
AU - Trussell, H.
AU - Combettes, P.
T2 - IEEE International Conference on Acoustics, Speech, and Signal Processing
AB - This paper presents a technique for restoring images which have been degraded by a stochastic point spread function (psf). In the past, the restoration of such images has been approached in terms of averages without considering the variations of the psf. It will be shown that the integration of the additional uncertainties caused by the stochastic psf can be used to obtain better estimates. These uncertainties can be included to the restoration scheme in a very flexible manner through the use of the Projection Onto Convex Sets (POCS) method. Finally, the benefits of the method will be illustrated through simulations.
C2 - 1987/4/6/
C3 - ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing
CY - Dallas, Texas
DA - 1987/4/6/
PY - 1987/4/6/
DO - 10.1109/icassp.1987.1169769
SP - 1209–1212
PB - Institute of Electrical and Electronics Engineers
UR - http://dx.doi.org/10.1109/icassp.1987.1169769
ER -
TY - JOUR
TI - Comment on controlling generalized state-space (descriptor) systems
AU - Campbell, Stephen L.
T2 - International Journal of Control
AB - some confusion in the literature on the controllability of descriptor systems is cleared up.
DA - 1987/12//
PY - 1987/12//
DO - 10.1080/00207178708934045
VL - 46
IS - 6
SP - 2229-2230
J2 - International Journal of Control
LA - en
OP -
SN - 0020-7179 1366-5820
UR - http://dx.doi.org/10.1080/00207178708934045
DB - Crossref
ER -
TY - JOUR
TI - A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
AU - Campbell, Stephen L.
T2 - SIAM Journal on Mathematical Analysis
AB - A canonical form is derived for all linear solvable systems $E(t)x'(t) + F(t)x(t) = f(t)$ with sufficiently smooth coefficients E, F Using this form it is shown that for all smooth enough solvable systems a class of recently defined numerical imbedding methods and an algorithm to compute the manifold of consistent initial conditions always work. In addition, necessary and sufficient conditions are given on $E(t)$, $F(t)$ to insure solvability in the case when $E(t)$, $F(t)$ are infinitely differentiable.
DA - 1987/7//
PY - 1987/7//
DO - 10.1137/0518081
VL - 18
IS - 4
SP - 1101-1115
J2 - SIAM J. Math. Anal.
LA - en
OP -
SN - 0036-1410 1095-7154
UR - http://dx.doi.org/10.1137/0518081
DB - Crossref
ER -
TY - JOUR
TI - Fast Parallel Computation of Hermite and Smith Forms of Polynomial Matrices
AU - Kaltofen, Erich
AU - Krishnamoorthy, M. S.
AU - Saunders, B. David
T2 - SIAM Journal on Algebraic Discrete Methods
AB - Boolean circuits of polynomial size and polylogarithmic depth are given for computing the Hermite and Smith normal forms of polynomial matrices over finite fields and the field of rational numbers. The circuits for the Smith normal form computation are probabilistic ones and also determine very efficient sequential algorithms. Furthermore, we give a polynomial-time deterministic sequential algorithm for the Smith normal form over the rationals. The Smith normal form algorithms are applied to the rational canonical form of matrices over finite fields and the field of rational numbers.
DA - 1987/10//
PY - 1987/10//
DO - 10.1137/0608057
VL - 8
IS - 4
SP - 683-690
J2 - SIAM. J. on Algebraic and Discrete Methods
LA - en
OP -
SN - 0196-5212 2168-345X
UR - http://dx.doi.org/10.1137/0608057
DB - Crossref
ER -
TY - JOUR
TI - Computer Algebra Algorithms
AU - Kaltofen, E
T2 - Annual Review of Computer Science
DA - 1987/6//
PY - 1987/6//
DO - 10.1146/annurev.cs.02.060187.000515
VL - 2
IS - 1
SP - 91-118
J2 - Annu. Rev. Comput. Sci.
LA - en
OP -
SN - 8756-7016 8756-7016
UR - http://dx.doi.org/10.1146/annurev.cs.02.060187.000515
DB - Crossref
ER -
TY - CONF
TI - Single-factor Hensel lifting and its application to the straight-line complexity of certain polynomials
AU - Kaltofen, E.
T2 - the nineteenth annual ACM conference
AB - Three theorems are presented that establish polynomial straight-line complexity for certain operations on polynomials given by straight-line programs of unbounded input degree. The first theorem shows how to compute a higher order partial derivative in a single variable. The other two theorems impose the degree of the output polynomial as a parameter of the length of the output program. First it is shown that if a straight-line program computes an arbitrary power of a multivariate polynomial, that polynomial also admits a polynomial bounded straight-line computation. Second, any factor of a multivariate polynomial given by a division-free straight-line program with relatively prime co-factor also admits a straight-line computation of length polynomial in the input length and the degree of the factor. This result is based on a new Hensel lifting process, one where only one factor image is lifted back to the original factor. As an application we get that the greatest common divisor of polynomials given by a division-free straight-line program has polynomial straight-line complexity in terms of the input length and its own degree.
C2 - 1987///
C3 - Proceedings of the nineteenth annual ACM conference on Theory of computing - STOC '87
DA - 1987///
DO - 10.1145/28395.28443
PB - ACM Press
SN - 0897912217
UR - http://dx.doi.org/10.1145/28395.28443
DB - Crossref
ER -
TY - JOUR
TI - Deterministic irreducibility testing of polynomials over large finite fields
AU - Kaltofen, Erich
T2 - Journal of Symbolic Computation
AB - We present a sequential deterministic polynomial-time algorithm for testing dense multivariate polynomials over a large finite field for irreducibility. All previously known algorithms were of a probabilistic nature. Our deterministic solution is based on our algorithm for absolute irreducibility testing combined with Berlekamp's algorithm.
DA - 1987/8//
PY - 1987/8//
DO - 10.1016/s0747-7171(87)80055-x
VL - 4
IS - 1
SP - 77-82
J2 - Journal of Symbolic Computation
LA - en
OP -
SN - 0747-7171
UR - http://dx.doi.org/10.1016/s0747-7171(87)80055-x
DB - Crossref
ER -
TY - JOUR
TI - The effects of oxygen on fermentation in Tritrichomonas foetus KV1 and its variant 1MR-100 with defective hydrogenosomes
AU - Lloyd, David
AU - James, Christopher J
AU - Lloyd, Alun L
AU - Yarlett, Nigel
AU - Yarlett, Nuriza C
T2 - Microbiology
DA - 1987///
PY - 1987///
VL - 133
IS - 5
SP - 1181-1186
ER -
TY - JOUR
TI - The probability that a linear system is consistent
AU - Stitzinger, Ernest L.
T2 - Linear and Multilinear Algebra
AB - Pertaining to his work on cryptography, Jack Levine recently asked the following question. If one randomly chooses a system of 10 equations and 4 unknowns with coefficients from the integers modulo n, then what is the probability that one has chosen a consistent system? This paper answers this question. Counting arguments involving elementary linear algebra are the only tools needed.
DA - 1987/12//
PY - 1987/12//
DO - 10.1080/03081088708817811
VL - 21
IS - 4
SP - 367-371
J2 - Linear and Multilinear Algebra
LA - en
OP -
SN - 0308-1087 1563-5139
UR - http://dx.doi.org/10.1080/03081088708817811
DB - Crossref
ER -
TY - CONF
TI - Applications of Quasi-{N}ewton Methods to Pseudoparabolic Control Problems
AU - Kelley, C T
AU - Sachs, E W
C2 - 1987///
C3 - Optimal Control of Partial Differential Equations II - Theory and Applications, May, 1986
CY - Basel
DA - 1987///
PB - Birkhäuser
ER -
TY - CONF
TI - Algorithm Design on Microcomputers: Iterative Methods for Problems with Singular {J}acobian
AU - Kelley, C T
A2 - Wouk, Arthur
C2 - 1987///
C3 - New Computing Environments: Microcomputers in Large-Scale Computing
CY - Philadelphia
DA - 1987///
SP - 13-25
PB - SIAM
ER -
TY - CONF
TI - Pointwise quasi-{N}ewton methods and some applications
AU - Kelley, C T
AU - Northrup, J I
A2 - Kappel, F
A2 - Kunisch, K
A2 - Schappacher, W
C2 - 1987///
C3 - Distributed Parameter Systems
CY - New York
DA - 1987///
SP - 167-180
PB - Springer-Verlag
ER -
TY - RPRT
TI - Derivative Arrays, Geometric Control Theory, and Realizations of Linear Descriptor Systems.
AU - Campbell, Stephen L.
AU - Terrell, William J.
A3 - Defense Technical Information Center
AB - Abstract : The relationship between numerical methods for realizations of E(t)x'(t) + F(t)x(t)=f(t) based on derivative arrays and geometric control realization procedures based on Lie derivatives is examined.
DA - 1987/11/24/
PY - 1987/11/24/
DO - 10.21236/ada190882
PB - Defense Technical Information Center
UR - http://dx.doi.org/10.21236/ada190882
DB - Crossref
ER -
TY - JOUR
TI - Distributional Convergence of BDF (Backward Differentiation Formulas) Approximations to Solutions of Descriptor Systems.
T2 - Defense Technical Information Center
AB - Abstract : It has been frequently observed that the backward differentiation approximation of the solutions of Ex' + Fx = f can fail to converge even pointwise in an initial boundary layer. This note shows that the approximations converge in a distributional sense even if the exact solution is also distributional. Keywords: Matrices; Convergence; Approximation.
DA - 1987///
PY - 1987///
DO - 10.21236/ada190819
ER -
TY - JOUR
TI - The Numerical and Analytic Analysis of Implicit Differential Equations and Their Application to Control and Circuit Problems.
T2 - Defense Technical Information Center
DA - 1987///
PY - 1987///
DO - 10.21236/ada185531
ER -
TY - RPRT
TI - Solving Singular Systems Using Orthogonal Functions.
AU - Campbell, Stephen L.
AU - Yeomans, Kevin D.
A3 - Defense Technical Information Center
DA - 1987/10/8/
PY - 1987/10/8/
DO - 10.21236/ada190881
PB - Defense Technical Information Center
ER -
TY - CONF
TI - Local realizations of time varying descriptor systems
AU - Campbell, Stephen L.
T2 - 26th IEEE Conference on Decision and Control
AB - A method of realizing a descriptor system E(t)x'(t)+F(t)x(t) = B(t)u(t) as a state space system y' = A(t)y(t) + ?i=0 lKi(t)u(i)(t) x = M(t)y(t) + ?i=0 lNi(t)u(i)(t) is developed. This realization has the important property that the coefficients A, Ki, M, N, are computed directly from arrays of derivatives of E, F, B, u. Thus no time varying coordinate changes need to be performed prior to any differentiations making the method easy to implement numerically.
C2 - 1987/12//
C3 - 26th IEEE Conference on Decision and Control
DA - 1987/12//
DO - 10.1109/cdc.1987.272582
PB - IEEE
UR - http://dx.doi.org/10.1109/cdc.1987.272582
DB - Crossref
ER -
TY - JOUR
TI - A Quasi-Newton Method for Elliptic Boundary Value Problems
AU - Kelley, C. T.
AU - Sachs, E. W.
T2 - SIAM Journal on Numerical Analysis
AB - For some boundary value problems for equations of the form $\nabla ^2 u + f(x,u,\nabla u) = 0$ with linear boundary conditions we give a convergence analysis for a quasi-Newton method that converges superlinearly in the $C^1 $ norm. This scheme for infinite-dimensional problems becomes a method for the finite-dimensional problems that are produced by discretizing the differential equation. This method is a generalization of a method proposed by Hart and Soul for discretizations of two point boundary value problems.
DA - 1987/6//
PY - 1987/6//
DO - 10.1137/0724037
VL - 24
IS - 3
SP - 516-531
J2 - SIAM J. Numer. Anal.
LA - en
OP -
SN - 0036-1429 1095-7170
UR - http://dx.doi.org/10.1137/0724037
DB - Crossref
ER -
TY - JOUR
TI - Quasi-Newton Methods and Unconstrained Optimal Control Problems
AU - Kelley, C. T.
AU - Sachs, E. W.
T2 - SIAM Journal on Control and Optimization
AB - We prove a mesh-independence result for the BFGS method in Hilbert space and apply it to a class of unconstrained optimal control problems. A new fourth order discretization scheme is used in the implementation. Observations from numerical experiments are presented.
DA - 1987/11//
PY - 1987/11//
DO - 10.1137/0325083
VL - 25
IS - 6
SP - 1503-1516
J2 - SIAM J. Control Optim.
LA - en
OP -
SN - 0363-0129 1095-7138
UR - http://dx.doi.org/10.1137/0325083
DB - Crossref
ER -
TY - JOUR
TI - The Effects of Oxygen on Fermentation in Tritrichomonas Foetus KV1 and its Variant 1MR-100 with Defective Hydrogenosomes
AU - Lloyd, D.
AU - James, C. J.
AU - Lloyd, A. L.
AU - Yarlett, N.
AU - Yarlett, N. C.
T2 - Microbiology
AB - The effects of low concentrations of O2 on fermentation in the cattle parasite Tritrichomonas foetus KV1 and its variant 1MR-100 were compared using membrane inlet mass spectrometry to measure simultaneously and continuously ethanol, CO2 and H2. In strain KV1 glucose-supported H2 and CO2 production were stimulated by O2 concentrations < 1·4 μm but were inhibited at higher concentrations. Damped oscillatory responses in H2 production indicated the operation of a feedback control system. Measurement of the O2-dependence of O2 consumption rates confirmed the presence of a high-affinity terminal oxidase (apparent K m = 1·6 μm-O2 at 37 °C) and substrate inhibition by O2 at > 8 μm-O2. Successive periods of exposure to O2 resulted in decreased O2 scavenging capacity, as indicated by increasing apparent K m values for O2. The variant strain 1MR-100 which lacks pyruvate: ferredoxin oxidoreductase and hydrogenase showed quite different characteristics: H2 production was not detectable, ethanol formation was inhibited by O2 (K i = 1 μm) and O2-dependence of O2 consumption indicated that no high-affinity oxidase was present (apparent K m = 33 μm-O2). Progressive increases in respiration rates on repeated exposure to low O2 concentrations indicated a capacity for adaptation to aerobiosis.
DA - 1987/5/1/
PY - 1987/5/1/
DO - 10.1099/00221287-133-5-1181
VL - 133
IS - 5
SP - 1181-1186
J2 - Microbiology
LA - en
OP -
SN - 1350-0872 1465-2080
UR - http://dx.doi.org/10.1099/00221287-133-5-1181
DB - Crossref
ER -
TY - JOUR
TI - Scaled Givens Rotations for the Solution of Linear Least Squares Problems on Systolic Arrays
AU - Barlow, Jesse L.
AU - Ipsen, Ilse F. C.
T2 - SIAM Journal on Scientific and Statistical Computing
AB - A class of Scaled Givens rotations, to be applied to the solution of weighted multiple linear least squares problems on systolic arrays, is discussed. In comparison to Fast Givens transformations, properly scaled rotations for weighted problems exhibit the same stability, require fewer divisions, and avoid square roots as well as pivoting. Consequently, with a suitable elimination strategy, the algorithm is amenable to parallel linear-time implementation on systolic arrays in VLSI. Round off error and stability analyses are presented, indicating slightly less accumulation of round off error than known sequential methods.
DA - 1987/9//
PY - 1987/9//
DO - 10.1137/0908062
VL - 8
IS - 5
SP - 716-733
J2 - SIAM J. Sci. and Stat. Comput.
LA - en
OP -
SN - 0196-5204 2168-3417
UR - http://dx.doi.org/10.1137/0908062
DB - Crossref
ER -
TY - JOUR
TI - Nonlinear Dynamics of the Cyclotron Instability of a Fast Ion Beam
AU - Gilman, M.
AU - Khrabrov, A.
T2 - Soviet Journal of Plasma Physics
DA - 1987///
PY - 1987///
VL - 13
IS - 12
SP - 824–828
ER -
TY - CHAP
TI - A comparison of Cuppen’s method and multisection for the solution of tridiagonal eigenvalue problems on the hypercube
AU - Ipsen, I.C.F.
AU - Jessup, E.R.
T2 - Advances in Computer Methods for Partial Differential Equations VI
PY - 1987///
SP - 425–430
PB - The Institute for Mathematics and Computer Science
ER -
TY - JOUR
TI - CONVERGENCE TO EQUILIBRIUM IN A GENETIC MODEL WITH DIFFERENTIAL VIABILITY BETWEEN THE SEXES
AU - SELGRADE, JF
AU - ZIEHE, M
T2 - JOURNAL OF MATHEMATICAL BIOLOGY
DA - 1987///
PY - 1987///
DO - 10.1007/BF00276194
VL - 25
IS - 5
SP - 477-490
SN - 1432-1416
ER -