Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations (eng)
Language: English
Published by Springer, 2019
- Hardcover
- New
Seller: Brook Bookstore On Demand, Napoli, NA, ItalyBrook Bookstore On Demand
AbeBooks seller since October 11, 2022
Condition: New
£ 103.25
Quantity: Over 20 available
Add to basketItem description from seller
Questo è un articolo print on demand.
Seller Inventory # c56e8c793a2501403294398c65d8ae19
- Title
- Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations (eng)
- Author
- Nakao, Mitsuhiro T.
- Publisher
- Springer
- Publication year
- 2019
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9811376689
- ISBN 13
- 9789811376689
- Item weight
- 0.85 kilograms
- Series
- Book 31 of 33: Springer Computational Mathematics
The authors have been working more than a quarter century to establish methods for the verified computation of solutions for partial differential equations, mainly for nonlinear elliptic problems of the form -∆u=f(x,u,∇u) with Dirichlet boundary conditions. Here, by “verified computation” is meant a computer-assisted numerical approach for proving the existence of a solution in a close and explicit neighborhood of an approximate solution. The quantitative information provided by these techniques is also significant from the viewpoint of a posteriori error estimates for approximate solutions of the concerned partial differential equations in a mathematically rigorous sense.
In this monograph, the authors give a detailed description of the verified computations and computer-assisted proofs for partial differential equations that they developed. In Part I, the methods mainly studied by the authors Nakao and Watanabe are presented. These methods are based on a finite dimensional projection and constructive a priori error estimates for finite element approximations of the Poisson equation. In Part II, the computer-assisted approaches via eigenvalue bounds developed by the author Plum are explained in detail. The main task of this method consists of establishing eigenvalue bounds for the linearization of the corresponding nonlinear problem at the computed approximate solution. Some brief remarks on other approaches are also given in Part III. Each method in Parts I and II is accompanied by appropriate numerical examples that confirm the actual usefulness of theauthors’ methods. Also in some examples practical computer algorithms are supplied so that readers can easily implement the verification programs by themselves.
"Synopsis" may belong to another edition of this title.
From the Back Cover
"About the title" may belong to another edition of this title.
Brook Bookstore On Demand
Napoli, NA, Italy
AbeBooks seller since October 11, 2022
Shipping rates from Italy to U.S.A.
| Item | 25 to 40 business days | 60 to 60 business days |
|---|---|---|
| First item | £ 6.78 | £ 433.13 |
Payment methods
Store description
Account dedicated to Print on Demand titles. Brook Bookstore offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses. CONTACT US If you have any questions please do not hesitate to contact us sending a message to our store. We have a well prepared customer service team who will be happy to assist you. Our working hours are from Monday to Friday from 9:30 to 18:30 (CET, UTC +1) so messages received during the weekends might be responded with a slight delay but we guarantee you will get back to you as soon as possible. RETURNS If you want to return your order, please submit your request through Abebooks platform. Returns requests are managed case by case by our team and always in line with Abebooks policies: AbeBooks’ Return Policy guarantees that you can return any book for a refund within 30 days, when the return is due to an error on the bookseller’s part. When the motive of the return is not due to an error of the seller it is up to Brook Bookstore to accept the return or else after studying the case. CANCELLATION You can send a cancellation request to our customer service team while the package has not yet been shipped. After that we cannot ensure we can retrieve the parcel but we suggest you to get in touch with us in order to verify the case. INVOICE You can request the invoice to be issued together with the shipment of the order or, at the latest, in the same month of the shipment. …
Specialty
Print on DemandSeller's business information
Brandon Group S.R.L.
Via Vannella Gaetani 27, Brandon Group
Napoli, NA Italy 80121
Terms of sale
Brook Bookstore On Demand offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses.
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to Brook Bookstore On Demand, Bristol, United Kingdom, +39 3485885209, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.