The Experts below are selected from a list of 141 Experts worldwide ranked by ideXlab platform

Claudia Bucur - One of the best experts on this subject based on the ideXlab platform.

  • some observations on the green function for the ball in the fractional laplace framework
    Communications on Pure and Applied Analysis, 2016
    Co-Authors: Claudia Bucur
    Abstract:

    We consider a fractional Laplace equation and we give a self-contained Elementary exposition of the representation formula for the Green function on the ball. In this exposition, only Elementary Calculus techniques will be used, in particular, no probabilistic methods or computer assisted algebraic manipulations are needed. The main result in itself is not new (see for instance [2, 9]), however we believe that the exposition is original and easy to follow, hence we hope that this paper will be accessible to a wide audience of young researchers and graduate students that want to approach the subject, and even to professors that would like to present a complete proof in a PhD or Master Degree course.

  • some observations on the green function for the ball in the fractional laplace framework
    arXiv: Analysis of PDEs, 2015
    Co-Authors: Claudia Bucur
    Abstract:

    We consider a fractional Laplace equation and we give a self-contained Elementary exposition of the representation formula for the Green function on the ball. In this exposition, only Elementary Calculus techniques will be used, in particular, no probabilistic methods or computer assisted algebraic manipulations are needed. The main result in itself is not new, however we believe that the exposition is original and easy to follow, hence we hope that this paper will be accessible to a wide audience of young researchers and graduate students that want to approach the subject, and even to professors that would like to present a complete proof in a PhD or Master Degree course.

Pat Vierthaler - One of the best experts on this subject based on the ideXlab platform.

Jeff Dewynne - One of the best experts on this subject based on the ideXlab platform.

  • The Mathematics of Financial Derivatives
    The Mathematics of Financial Derivatives, 2012
    Co-Authors: Paul Wilmott, Sam Howison, Jeff Dewynne
    Abstract:

    Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods; the area is an expanding source for novel and relevant 'real-world' mathematics. In this book the authors describe the modelling of financial derivative products from an applied mathematician's viewpoint, from modelling through analysis to Elementary computation. A unified approach to modelling derivative products as partial differential equations is presented, using numerical solutions where appropriate. Some mathematics is assumed, but clear explanations are provided for material beyond Elementary Calculus, probability, and algebra. Over 140 exercises are included. This volume will become the standard introduction to this exciting new field for advanced undergraduate students.

  • the mathematics of financial derivatives a student introduction
    1995
    Co-Authors: Paul Wilmott, Sam Howison, Jeff Dewynne
    Abstract:

    Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods; the area is an expanding source for novel and relevant 'real-world' mathematics. In this book the authors describe the modelling of financial derivative products from an applied mathematician's viewpoint, from modelling through analysis to Elementary computation. A unified approach to modelling derivative products as partial differential equations is presented, using numerical solutions where appropriate. Some mathematics is assumed, but clear explanations are provided for material beyond Elementary Calculus, probability, and algebra. Over 140 exercises are included. This volume will become the standard introduction to this exciting new field for advanced undergraduate students.

Antonio Di Nola - One of the best experts on this subject based on the ideXlab platform.

  • Elementary Calculus in riesz mv algebras
    International Journal of Approximate Reasoning, 2004
    Co-Authors: Barnabas Bede, Antonio Di Nola
    Abstract:

    We introduce and study a topological structure over vectorial and Riesz MV-algebras, similar to metric spaces. Continuous functions with values in these spaces are studied and a fix point theorem is obtained. Moreover we introduce the concept of derivative and integral of MV-valued functions; i.e. functions with values in a Riesz MV-algebra. Finally we present two applications.

Paul Wilmott - One of the best experts on this subject based on the ideXlab platform.

  • The Mathematics of Financial Derivatives
    The Mathematics of Financial Derivatives, 2012
    Co-Authors: Paul Wilmott, Sam Howison, Jeff Dewynne
    Abstract:

    Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods; the area is an expanding source for novel and relevant 'real-world' mathematics. In this book the authors describe the modelling of financial derivative products from an applied mathematician's viewpoint, from modelling through analysis to Elementary computation. A unified approach to modelling derivative products as partial differential equations is presented, using numerical solutions where appropriate. Some mathematics is assumed, but clear explanations are provided for material beyond Elementary Calculus, probability, and algebra. Over 140 exercises are included. This volume will become the standard introduction to this exciting new field for advanced undergraduate students.

  • the mathematics of financial derivatives a student introduction
    1995
    Co-Authors: Paul Wilmott, Sam Howison, Jeff Dewynne
    Abstract:

    Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods; the area is an expanding source for novel and relevant 'real-world' mathematics. In this book the authors describe the modelling of financial derivative products from an applied mathematician's viewpoint, from modelling through analysis to Elementary computation. A unified approach to modelling derivative products as partial differential equations is presented, using numerical solutions where appropriate. Some mathematics is assumed, but clear explanations are provided for material beyond Elementary Calculus, probability, and algebra. Over 140 exercises are included. This volume will become the standard introduction to this exciting new field for advanced undergraduate students.