Polynomial Chaos Methods for Hyperbolic Partial Differential Equations: Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties
This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic Galerkin formulation. With the continual growth of computer power, these methods are becoming increasingly popular as an alternative to more classical sampling-ba...
Đã lưu trong:
| Những tác giả chính: | , , |
|---|---|
| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Được phát hành: |
Springer
2015
|
| Những chủ đề: | |
| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57705 |
| Các nhãn: |
Thêm thẻ
Không có thẻ, Là người đầu tiên thẻ bản ghi này!
|
| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
|---|
| id |
oai:scholar.dlu.edu.vn:DLU123456789-57705 |
|---|---|
| record_format |
dspace |
| spelling |
oai:scholar.dlu.edu.vn:DLU123456789-577052023-11-11T05:50:45Z Polynomial Chaos Methods for Hyperbolic Partial Differential Equations: Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties Pettersson, Mass Per Iaccarino, Gianluca Nordström, Jan Numerical solutions Hyperbolic Differential equations This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic Galerkin formulation. With the continual growth of computer power, these methods are becoming increasingly popular as an alternative to more classical sampling-based techniques. The text takes advantage of stochastic Galerkin projections applied to the original conservation laws to produce a large system of modified partial differential equations, the solutions to which directly provide a full statistical characterization of the effect of uncertainties. 2015-08-21T03:21:23Z 2015-08-21T03:21:23Z 2015 Book 978-3-319-10714-1 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57705 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Numerical solutions Hyperbolic Differential equations |
| spellingShingle |
Numerical solutions Hyperbolic Differential equations Pettersson, Mass Per Iaccarino, Gianluca Nordström, Jan Polynomial Chaos Methods for Hyperbolic Partial Differential Equations: Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties |
| description |
This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic Galerkin formulation. With the continual growth of computer power, these methods are becoming increasingly popular as an alternative to more classical sampling-based techniques. The text takes advantage of stochastic Galerkin projections applied to the original conservation laws to produce a large system of modified partial differential equations, the solutions to which directly provide a full statistical characterization of the effect of uncertainties. |
| format |
Book |
| author |
Pettersson, Mass Per Iaccarino, Gianluca Nordström, Jan |
| author_facet |
Pettersson, Mass Per Iaccarino, Gianluca Nordström, Jan |
| author_sort |
Pettersson, Mass Per |
| title |
Polynomial Chaos Methods for Hyperbolic Partial Differential Equations:
Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties |
| title_short |
Polynomial Chaos Methods for Hyperbolic Partial Differential Equations:
Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties |
| title_full |
Polynomial Chaos Methods for Hyperbolic Partial Differential Equations:
Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties |
| title_fullStr |
Polynomial Chaos Methods for Hyperbolic Partial Differential Equations:
Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties |
| title_full_unstemmed |
Polynomial Chaos Methods for Hyperbolic Partial Differential Equations:
Numerical Techniques for Fluid Dynamics Problems in the Presence of Uncertainties |
| title_sort |
polynomial chaos methods for hyperbolic partial differential equations:
numerical techniques for fluid dynamics problems in the presence of uncertainties |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57705 |
| _version_ |
1819787577166659584 |