Neural, Parallel & Scientific Computations

Volume 16, 2008

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CONTENTS

V. Lakshmikantham	i

Preface to Special Issue

G. S. Ladde and M. Sambandham	iii

Professor Chris P. Tsokos: a Brief Review of Statistical, Mathematical

and Professional Contributions and Legacies

R. D. Wooten and C. P. Tsokos	1

A Markovian Analysis of Hurricane Transitions

Lisa D. Foster, Nirjhar Shah, Mark Ross, G.S. Ladde, and P. Wang	17

Using Frequency Analysis to Determine Wetland Hydroperiod

Gokarna R. Aryal and Chris P. Tsokos	35

Airline Spill Analysis Usnig Gumbel and Moyal Probability Distributions

Florence George and K. M. Ramachandran	45

A Mixture Model Approach For Gene Selection Using Johnson's

System and Bayes Formula

Shou Hsing Shih and Chris P. Tsokos	59

A Temperature Forecasting Model for the Continental United States

Alfred K. Mbah and Chris P. Tsokos	73

Record Values from Half Logistics and Inverse Weibull Probability

Distribution Functions

Chris P. Tsokos and Branko Miladinovic	93

Bayesian Reliability Analysis for the Gumbel Failure Model

Nirjhar Shah, Mark Ross, and G. S. Ladde	105

Dynamic Modeling of Root Water Uptake Using Soil Moisture Data

R. D. Wooten and C. P. Tsokos	125

Statistical Analysis and Modeling of Lightning

N. K. Manandhar Shrestha and K. M. Ramachandran	147

Behrens-fisher's Distribution For Selecting Differentially Expressed Genes

Shou Hsing Shih and Chris P. Tsokos	165

Prediction Models for Carbon Dioxide Emissions and the Atmosphere

Matthias Ehrhardt and Ronald E. Mickens	179

Discrete Models for the Cube-Root Differential Equation

Jurgen Geiser and Christos Kravvaritis	189

Overlapping Operator Splitting Methods and Applications in Stiff

Differential Equations

Curtis Kunkel	201

Positive Solutions of Singular Initial Value Problems for Integro-

Differential Equations

J. Henderson, S. K. Ntouyas and I. K. Purnaras	209

Positive Solutions for Systems of Three-Point Nonlinear Discrete

Boundary Value Problems

Jurgen Geiser	225

Operator-Splitting Methods Respecting Eigenvalue Problems for

Convection-Diffusion and Wave Equations

W. Y. Chan	237

Quenching of the Solution for a Degenerate Semilinear Parabolic Equation

Billy J. Jackson	253

Adaptive Control in the Nabla Setting

Ping Lu, Maria Oliveira and Chaoqun Liu	273

High Order Compact Schemes for Dirichlet Boundary Points

Qin Sheng	283

Recent Trends in Splitting, Adaptive and Hybrid Numerical Methods

for Differential Equations

Zhongdi Cen	303

A Hybrid Finite Difference Scheme for a Class of Singularly Perturbed

Delay Differential Equations

R. Mythili Priyadharshini and N. Ramanujam	309

Hybrid Difference Schemes for a Singularly Perturbed Second Order Ordinary Differential Equation with a Discontinuous Convection Coefficient Arising in

Chemical Reactor Theory

V. Shanthi and N. Ramanujam	327

An Asymptotic Hybrid Difference Scheme for Singularly Perturbed

Third and Fourth Order Ordinary Differential Equations with Discontinuous

Source Term

Christos Xenophontos	337

The Hp Finite Element Method for Singularly Perturbed Systems

of Reaction-diffusion Equations

Jugal Mohapatra and Srinivasan Natesan	353

Uniformly Convergent Second-order Numerical Method for

Singularly Perturbed Delay Differential Equations

Vivek Kumar and Kapil K. Sharma	371

An Optimized B-spline Method for Solving Singularly Perturbed Differential

Difference Equations with Delay as Well as Advance

J. I. Ramos	387

Exponential Techniques and Implicit Runge Kutta Methods for

Singularly Perturbed Volterra Integro Differential Equations

Kaushik Mukherjee and Srinivasan Natesan	405

An Efficient Numerical Scheme for Singularly Perturbed Parabolic Problems

with Interior Layer

Srinivasan Natesan and Rajdeep Deb	419

A Robust Numerical Scheme for Singularly Perturbed Parabolic Raction-diffusion Problems

Awoke Andargie and Y. N. Reddy	435

Terminal Boundary Condition for Singularly Perturbed Two-point Boundary

Value Problems

R. K. Mohanty	449

A Two-level Implicit Non-uniform Mesh Cubic Spline Method

for the Parabolic Equation

N. Kumaresan and P. Balasubramaniam	467

Optimal Control for Stochastic Linear Quadratic Singular

System with Indefinite Control Cost and Cross Term Using

Neural Networks

Zhiyue Zhang and Zhoufeng Wang	481

The Fully Discrete Multistep Characteristic Finite Volume Element Methods

for the Two-dimensional Generalized Nerve Conduction Equation

Yan Zhang and Cuiping Li	497

Estimate for the Number of Zeros of Abelian Integrals for a Kind

of Quartic Hamiltonians

R. P. Agarwal, Young-ho Kim, and C. S. Ryoo	505

Calculating Zeros of the Twisted Euler Polynomials

Lizhe Wang and Wei Jie	517

Integrated Resource Management Framework for Bio-grid Computing

W. S. Yousif and M. Madalena Martins	531

Explicit De-Coupled Group AOR Method for solving Elliptic

Partial Differential Equations

Mostafa I. Soliman	543

Memory Hierarchy Exploration for Accelerating the Parallel

Computation of SVDs

Xueke Wu and Zhiyue Zhang	563

The Finite Volume Element Method for the Pollution In

Groundwater Flow

A. Krishnamoorthy, K. P. Jose, and Viswanath C. Narayanan	579

Numerical Investigation of a PH/PH/1 Inventory System

with Positive Service Time and Shortage

Content	593

Author Index	597