Robert P. Gilbert

Transformations, Transmutations, and Kernel Functions, Volume II

Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider cl...

Applications of Homogenization Theory to the Study of Mineralized Tissue

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple...

Transformations, Transmutations, and Kernel Functions

Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider cl...

Further Progress in Analysis

Proceedings of the 6th International ISAAC Congress, Middle East Technical University, Ankara Turkey, 13-18 August 2007

The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers th...

Transformations, Transmutations, and Kernel Functions, Volume I

A broad ranging collection of recent results in the subject covering areas from plane elasticity to second and higher order elliptic equations. The ch...

Computer-Supported Calculus

Functions, limits, and continuity.- 1 Functions.- 1.1 Introduction.- 1.2 Functions and their graphs.- 1.3 Polynomials.- 1.4 Rational functions.- 1.5 I...

Constructive Methods for Elliptic Equations

Primarily these lectures are a report on recent work by the Indiana University group working on Function theoretic methods as applied to the theory of...

Function Theoretic Methods in Differential Equations

Generalizations ofanalytic function theary; On the convolution product in discrete functions theory; On(K)-monogenic functions of a quaternion variabl...

Ordinary and Partial Differential Equations with Applications

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Construction of Approximations to Acoustic Green's Functions for Nonhomogeneous Oceans Using Transmutation

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Harmonic Functions in Four Variables with Algebraic and Rational P4 Associates

Integral representations for harmonic functions in four varables are investigated by means of an operator bearing close resemblence [sic] to one Whitt...

On Generalized Axially Symmetric Potentials

Certain properties of generalized axially symmetric potentials (GASP) are investigated by means of integral operator methods. A modified form of the r...

Poisson's Equation and Generalized Axially Symmetric Potential Theory

A method is developed by which one may obtain solutions to the non- homogeneous equation of generalized axially symmetric potential theory (GASPT). Re...

On the Geometric Character of Singularity Manifolds for Harmonic Functions in Three Variables

I

The singularities of harmonic functions in three variables is investigated. This is done by considering harmonic functions generated by the Whittaker-...

On Harmonic Functions of Four Variables with Rational P4 Associates

In this paper, properties of solutions of the Laplace equation in four variables are investigated by means of integral operator methods. Results conce...

Some Properties of Generalized Axially Symmetric Potentials

Some properties of the functions of generalized axially symmetric potential theory (GASPT) are investigated by the Sonine-Bergman operator. GASPT func...

Transformations, Transmutations, and Kernel Functions, Volume II

Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider cl...

Function Theoretic Methods in Partial Differential Equations

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Maple Projects for Differential Equations

This manual features syntax and projects....

First Order Elliptic Systems

A Function Theoretic Approach

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Multivariable Calculus with Mathematica

Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables. Instead of just using Mathematica to directly solv...

Proceedings of the Second ISAAC Congress

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Homogenization

Applications to the Biological and Physical Sciences

This book provides a thorough introduction to homogenization, a modeling procedure used to describe processes in complicated structures with known mic...

Constructive and Computational Methods for Differential and Integral Equations : Symposium

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