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Showing papers in "Applied Mathematics and Computation in 1991"


Journal ArticleDOI
TL;DR: In this article, two nonparametric maximum likelihood methods based on the EM algorithm are presented for the analysis of the distribution of parameters in pharmacokinetic models based on population data.

163 citations


Journal ArticleDOI
TL;DR: In this article, two explicit conservative numerical schemes for the sine-Gordon equation were proposed and proved to be stable and convergent, and the new schemes were very accurate and fast.

118 citations


Journal ArticleDOI
TL;DR: In this paper, the authors analyze the problem of recovering the shape of a smooth Lambertian surface from two images obtained by consecutive illumination of the surface by distant point light sources from two different directions.

55 citations


Journal ArticleDOI
TL;DR: In this paper, the continuation parameter is extended to complex values and adaptively computed in the complex plane to avoid singular points giving rise to singularities, and the actual path through the grid is determined step by step in accordance with two objectives: short path length, and avoidance of singular points.

48 citations


Journal ArticleDOI
TL;DR: In this paper, an explicit and computable solution for coupled partial difference systems appearing when one considers difference approximations of coupled systems of partial differential equations is given, based on the consideration of a discrete matrix separation of variables method.

45 citations


Journal ArticleDOI
TL;DR: This work considers the problem of exponential interpolation and shows that in some cases it can be solved with effective numerical procedures and that the problem is closely related to Gaussian quadrature and to theproblem of partial realization in linear control theory.

37 citations


Journal ArticleDOI
TL;DR: Enhancements in a new version of the multigrid software package MUDPACKare discussed and illustrated with examples.

35 citations


Journal ArticleDOI
TL;DR: A new method of control of the system using noncollocated sensors and actuators is presented, which is capable of stabilizing the system and dampening the vibrations in all its modes, using dislocated sensor and actuator locations.

26 citations


Journal ArticleDOI
TL;DR: A brief review of three non-fuzzy-set techniques available for performing risk analysis under uncertainty (probabilistic error propagation, Bayesian analysis, and the Shannon entropy) is given, using health-risk assessment to illustrate the fuzzy-set analysis of risk.

22 citations


Journal ArticleDOI
TL;DR: This work proposes a model in which the uncontrollable boundaries can be described in introducing a backward-time dynamics (a posteriori description) and argues that such an idea is a basic concept for biological and evolutionary systems and implies unprogrammable systems.

21 citations


Journal ArticleDOI
TL;DR: In this paper, the direct and inverse derivatives, differential, differential expression, compatible and exact integrals, known for Booleab algebraic systems (where m, the number of levels, is 2) are generalized for a multivalued-logic (MVL) algebra where m >= 3.

Journal ArticleDOI
TL;DR: In this paper, the separation principle is used for detecting limit cycles in a slow-fast dynamical system describing a food chain with trophic levels with diversified time responses.

Journal ArticleDOI
TL;DR: Improved definitions on cooperation are given for the situation where two decision makes can cooperate with one another in a conflict consisting of two or more decision makers, and a sequential stability solution concept is defined.

Journal ArticleDOI
TL;DR: In this article, the nonlinear inequality constrained problem is reformulated as a standard unconstrained optimization problem via a differentiable transcription, which can be used to solve the corresponding nonlinear function inequalities in a finite number of iterations.

Journal ArticleDOI
TL;DR: This work provides theoretical justification for the use of an existing technique for studying binary-valued inputs in the Fourier frequency domain and proposes two methods for handling general discrete-valued factors that have complementary applicability.

Journal ArticleDOI
TL;DR: In this article, an iterative transformation method was applied to find the numerical solution and to provide the numerical evidence of the existence and uniqueness for the free boundary value problem describing the optimal length determination for tabular flow reactors.

Journal ArticleDOI
TL;DR: In this paper, a relationship was found between some equations of Chandrasekhar for solving the Wiener-Hopf integral equations and the nonlinear Riccati differential equations encountered in linear least squares estimation problems for systems described in state-space form.

Journal ArticleDOI
TL;DR: A new numerical method is derived for calculating the parameter sensitivity of the solution to a nonlinear two-point boundary-value problem coupled to a system of algebraic relations that is faster and more accurate than the method previously employed.

Journal ArticleDOI
TL;DR: An approximation to the quadratic-optimal regulator problem is presented for a situation in which there is an unconventional measurement architecture, and the solution is in a form quite similar to that obtained in the complete observation case, but the gain equation is made more complicated by the presence of noise.

Journal ArticleDOI
TL;DR: The use of MCQAII, as a multicriterion decision-making tool, is demonstrated to show how both quantifiable and nonnumerical criteria, chosen to enhance a company's strategic position, can be used to select optimal alternatives.

Journal ArticleDOI
TL;DR: In this paper, a numerical solution for fluid flow through a porous medium as governed by the Darcy-Lapwood model is obtained by solving the DLA-Brinkman model for moderate Re, using a numerical approach to the von Mises transformation.

Journal ArticleDOI
TL;DR: The start system presented in this paper respects the m-homogeneous structure of the system the authors want to solve, and it is shown that the start system used in the homotopy causes divergent continuation paths when applied to a deficient system.

Journal ArticleDOI
TL;DR: In this article, a monotone iterative method for nonlinear differential systems with finite delay is presented. But this approach is not suitable for the case of continuous nonlinear systems.

Journal ArticleDOI
TL;DR: Some mathematical considerations indicating that the latter could be more desirable than the former under condition of reliable forecasts are presented in this paper.

Journal ArticleDOI
TL;DR: In this article, the mammalian kidney is modeled by a multipoint boundary-value problem for a system of nonlinear ordinary differential equations, and a corresponding inverse problem is presented, which allows the rigorous judgement of the potential of the given modeling technique.

Journal ArticleDOI
TL;DR: A new simulator is introduced which provides realizations of parameter fields characterized by randomly sized regions within which the parameter value is constant, which provides a valuable simulation tool for discretely varying fields such as required when modeling complex lithologies.

Journal ArticleDOI
TL;DR: A complete description of the modified LH algorithm is provided that can immediately be implemented on any computer and is supplied with an APL program that can be run on an IBM^(R) PC.

Journal ArticleDOI
TL;DR: This work considers a 3D spectral multigrid method for 3D elliptic problems with arbitrary anisotropies, a preconditioned Richardson iteration, where a pseudospectral discretization is used on the right-hand side, and a finite-difference discretizations on the left- hand side.

Journal ArticleDOI
Weizhang Huang1
TL;DR: For symmetric positive definite matrices with weak diagonal dominance, the algebraic sense of smooth errors is discussed and convergence of algebraic multigrid (AMG) methods is proved.

Journal ArticleDOI
Yin Bai1
TL;DR: In this paper, a perturbed collocation method for linear boundary-value problems (BVP) in differential-algebraic equations (DAE) with index one was proposed, which is stable and preserves superconvergence.