To meet the needs of plant wide dynamic process simulation of today's complex, highly interconnected chemical production plants, parallelizable numerical methods using divide and conquer strategies are considered. The large systems of di erential algebraic equations (DAE's) arising from an unit oriented modular modeling of chemical and physical processes in a chemical plant are partitioned into...

A novel noncoherent receiver for M{ary di erential phase shift{keying (MDPSK) signals transmitted over intersymbol interference (ISI) channels is presented. The noncoherent receiver consists of a linear equalizer and a decision{feedback di erential detector. A signi cant performance gain over a previously proposed noncoherent receiver can be observed. For an in nite number of feedback symbols, ...

In this paper conditional hidden Markov model (HMM) lters and conditional Kalman lters (KF) are coupled together to improve demodulation of di erential encoded signals in noisy fading channels. We present an indicator matrix representation for di erential encoded signals and the optimal HMM lter for demodulation. The lter requires O(N) calculations per time iteration, where N is the number of m...

We announce publicly available Fortran software for the initial value problem IVP in ordinary di erential equations ODEs We describe the interfaces and how Fortran language features a ord the opportunity both to address di erent types and structures of variables and to provide functionality not usually directly associated with IVP solvers

In this paper, we consider the asymptotic stability of linear constant coeecient delay diierential-algebraic equations and of-methods, Runge-Kutta methods and linear multistep methods applied to these systems.

We study several aspects of the dynamic programming approach to optimal control of abstract evolution equations, including a class of semilinear partial di erential equations. We introduce and prove a veri cation theorem which provides a su cient condition for optimality. Moreover we prove suband superoptimality principles of dynamic programming and present an explicit construction of -optimal ...

In this paper we consider nite element methods for general parabolic integro-diierential equations with integrable kernels. A new approach is taken, which allows us to derive optimal L p (2 p 1) error estimates and superconvergence. The main advantage of our method is that the semidiscrete nite element approximations for linear equations, with both smooth and integrable kernels, can be treated ...

A new mixed formulation recently proposed for linear problems is extended to quasilinear second order elliptic problems This new formulation expands the standard mixed formulation in the sense that three variables are explicitly treated i e the scalar unknown its gradient and its ux the coe cients times the gradient Based on this formulation mixed nite element approximations of the quasilinear ...

Prediction and ltering of continuous-time stochastic processes require a solver of a continuous-time di erential Lyapunov equation (cdle). Even though this can be recast into an ordinary di erential equation (ode), where standard solvers can be applied, the dominating approach in Kalman lter applications is to discretize the system and then apply the discrete-time di erence Lyapunov equation (d...

A neural network based optimal control synthesis approach is presented for systems modeled by partial di!erential equations. The problem is formulated via discrete dynamic programming and the necessary conditions of optimality are derived. For synthesis of the controller, we propose two sets of neural networks: the set of action networks captures the mapping between the state and control, while...