Random Differential Equations in Scientific Computing

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Tác giả: Tobias Neckel, Florian Rupp

Ngôn ngữ: eng

ISBN-13: 978-8376560267

Ký hiệu phân loại: 519.2 Probabilities

Thông tin xuất bản: De Gruyter, 2013

Mô tả vật lý: 1 electronic resource (650 p.)

Bộ sưu tập: Tài liệu truy cập mở

ID: 204393

This book is a holistic and self-contained treatment of the analysis and numerics of random differential equations from a problem-centred point of view. An interdisciplinary approach is applied by considering state-of-the-art concepts of both dynamical systems and scientific computing. The red line pervading this book is the two-fold reduction of a random partial differential equation disturbed by some external force as present in many important applications in science and engineering. First, the random partial differential equation is reduced to a set of random ordinary differential equations in the spirit of the method of lines. These are then further reduced to a family of (deterministic) ordinary differential equations. The monograph will be of benefit, not only to mathematicians, but can also be used for interdisciplinary courses in informatics and engineering.
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