Computational Optimization of Systems Governed by Partial Differential Equations

نویسندگان

  • Alfio Borzì
  • Volker Schulz
چکیده

TO ORDER, SHOP ONLINE AT www.siam.org/catalog. Use your credit card (AMEX, MasterCard, and VISA) by phone: +1-215-382-9800 worldwide, fax: +1-215-386-7999, or e-mail: [email protected]. Or send check or money order in US dollars to: SIAM, Dept. BKGM12, 3600 Market Street, 6th Floor, Philadelphia, PA 19104-2688 USA. Members and customers outside North America can also order SIAM books through SIAM’s distributor, Cambridge University Press, at www.cambridge.org/siam. 1/12_1 Be sure to enter code “BKGM12” to get special discount price. Computational Optimization of Systems Governed by Partial Differential Equations Alfio Borzì and Volker Schulz This book fills a gap between theory-oriented investigations in PDE-constrained optimization and the practical demands made by numerical solutions of PDE optimization problems. The authors discuss computational techniques representing recent developments that result from a combination of modern techniques for the numerical solution of PDEs and for sophisticated optimization schemes. The book provides a bridge between continuous optimization and PDE modeling and focuses on the numerical solution of the corresponding problems.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations

The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...

متن کامل

FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES

In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via  weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.

متن کامل

Computational technique of linear partial differential equations by reduced differential transform ‎method

This paper presents a class of theoretical and iterative method for linear partial differential equations. An algorithm and analytical solution with a initial condition is obtained using the reduced differential transform method. In this technique, the solution is calculated in the form of a series with easily computable components. There test modeling problems from mathematical mechanic, physi...

متن کامل

An Approach for the Adaptive Solution of Optimization Problems Governed by Partial Differential Equations with Uncertain Coefficients

An Approach for the Adaptive Solution of Optimization Problems Governed by Partial Differential Equations with Uncertain Coefficients

متن کامل

A New Computational Method for Optimal Control of a Class of Constrained Systems Governed by Partial Differential Equations

A computationally efficient technique for the numerical solution of constrained optimal control problems governed by one-dimensional partial differential equations is considered in this paper. This technique utilizes inversion to map the optimal control problem to a lower dimensional space. Results are presented using the Nonlinear Trajectory Generation software package (NTG) showing that real-...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2012