Numerical Methods for Nonlinear Partial Differential Equations

Numerical Methods for Nonlinear Partial Differential Equations

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly...

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Chi tiết về thư mục
Tác giả chính: Bartels, Sören
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
Những chủ đề:
Numerical analysis
Nonlinear
Differential equations
Numerical solutions
Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57745
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spelling oai:scholar.dlu.edu.vn:DLU123456789-577452023-11-11T05:49:59Z Numerical Methods for Nonlinear Partial Differential Equations Bartels, Sören Numerical analysis Nonlinear Differential equations Numerical solutions The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations. 2015-08-24T08:09:06Z 2015-08-24T08:09:06Z 2015 Book 978-3-319-13797-1 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57745 en application/pdf Springer
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Numerical analysis
Nonlinear
Differential equations
Numerical solutions
spellingShingle Numerical analysis
Nonlinear
Differential equations
Numerical solutions
Bartels, Sören
Numerical Methods for Nonlinear Partial Differential Equations
description The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.
format Book
author Bartels, Sören
author_facet Bartels, Sören
author_sort Bartels, Sören
title Numerical Methods for Nonlinear Partial Differential Equations
title_short Numerical Methods for Nonlinear Partial Differential Equations
title_full Numerical Methods for Nonlinear Partial Differential Equations
title_fullStr Numerical Methods for Nonlinear Partial Differential Equations
title_full_unstemmed Numerical Methods for Nonlinear Partial Differential Equations
title_sort numerical methods for nonlinear partial differential equations
publisher Springer
publishDate 2015
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57745
_version_ 1819807248566714368

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