Modern Applied Mathematics

This comprehensive volume introduces educational units dealing with important topics of modern applied mathematics.

Chapters include comprehensive information on different topics such Methods of Approximation for Mapping in Probability Spaces, Mathematical Modelling of Seismic Sources, Climate Variability, Geometry of Differential Equations, Modelling of Particle-Driven Gravity Currents, Impulsive Free-Surface Flows, Internal Wave Propagation, Isogroups and Exact Solutions of Higher Order Boltzman Equation, Molecular and Particle Modelling, Asymptotic Behaviour of Solutions of Nonlinear Partial Differential Equations, Mixed Boundary Value Problems, Dual Integral Equations, Dual Series Equations and their Applications, Evolutionary Mechanisms of Organization in Complex Systems, Zero-Sum Differential Games, Bernoulli Convolutions, Probability Distribution Functions, O.D.E. Approach to Stochastic Approximation, Bayesian Inference on the Long Range Dependence.

Table of Contents

• Preface

• SECTION 1 Mathematical Theory of Thermoelasticity

• Some Problems in Newtonian and Non-Newtonian Fluid Dynamics Having Physiological Applications

• Methods of Constrained and Unconstrained Approximation for Mappings in Probability Spaces

• Mathematical Modelling of Seismic Sources

• Study of Indian Climate Variability using Predictability Indices

• Numerical Modelling of the North Indian Ocean Circulation

• SECTION 2 WAVES AND Significant Contributions of 20th Century to Boundary Conditions in Fluid Mechanics

• Topics in the Geometry of Differential Equations with Applications to Water Waves

• Particle-Driven Gravity Occurrence, Modelling, Open Problems and New Results

• Impulsive Free-Surface Flows and Small-Time Expansions

• Internal Wave Propagation

• SECTION 3 MATHEMATICAL Isogroups and Exact Solutions of higher Order Boltzmann Equation and Integrability

• Recent Studies in Molecular and particle Modelling

• Asymptotic behaviour of Solutions of Some Nonlinear Partial Differential Equations

• Mixed Boundary Value Problems Singular Integral Equations and Special Functions.