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|a Error calculus for finance and physics :
|b the language of Dirichlet forms /
|c by Nicolas Bouleau.
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|a Berlin ;
|a New York :
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|c ©2003.
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|a Includes bibliographical references and index.
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|a Preface; Contents; Chapter I Intuitive introduction to error structures; Chapter II Strongly-continuous semigroups and Dirichlet forms; Chapter III Error structures; Chapter IV Images and products of error structures; Chapter V Sensitivity analysis and error calculus; Chapter VI Error structures on fundamental spaces space; Chapter VII Application to financial models; Chapter VIII Applications in the field of physics; Index.
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|a Many recent advances in modelling within the applied sciences and engineering have focused on the increasing importance of sensitivity analyses. For a given physical, financial or environmental model, increased emphasis is now placed on assessing the consequences of changes in model outputs that result from small changes or errors in both the hypotheses and parameters. The approach proposed in this book is entirely new and features two main characteristics. Even when extremely small, errors possess biases and variances. The methods presented here are able, thanks to a specific differential cal.
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|a Error analysis (Mathematics)
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|a Formes de Dirichlet.
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|i Print version:
|a Bouleau, Nicolas.
|t Error calculus for finance and physics.
|d Berlin ; New York : Walter de Gruyter, ©2003
|z 3110180367
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