Ordered upwind methods for static Hamilton-Jacobi equations

James A. Sethian

doi:10.1073/pnas.201222998

2001-09-25

155

James A. Sethian *

Vladimirsky, A

DOI：10.1073/pnas.201222998

原文链接

查看原文

摘要

En 中文

We introduce a family of fast ordered upwind methods for approximating solutions to a wide class of static Hamilton-Jacobi equations with Dirichlet boundary conditions. Standard techniques often rely on iteration to converge to the solution of a discretized version of the partial differential equation. Our fast methods avoid iteration through a careful use of information about the characteristic directions of the underlying partial differential equation. These techniques are of complexity O(M log M), where M is the total number of points in the domain. We consider anisotropic test problems in optimal control, seismology, and paths on surfaces.

Keyword:

VISCOSITY SOLUTIONS

FRONTS

AI总结

对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

Proceedings of the National Academy of Sciences of the United States of America

IF:

9.1

论文数:

10.8W

被引数:

73.5W

机构

暂无机构信息

引用论文

The Rise and Fall of Discriminatory Zoning in Hong Kongt

Environment and Planning B: Planning and Design

IF0

2001-04-01

PREAI

Lawrence W C Lai; Marco K W Yu

FLAMSA-Based Reduced-Intensity Conditioning versus Myeloablative Conditioning in Younger Patients with Relapsed/Refractory Acute Myeloid Leukemia with Active Disease at the Time of Allogeneic Stem Cell Transplantation: An Analysis from the Acute Leukemia Working Party of the European Society for Blood and Marrow Transplantation

Biology of Blood and Marrow Transplantation

IF0

2020-11-01

OAAI

Eduardo Rodríguez-Arbolí; Myriam Labopin; Johanna Tischer; Arne Brecht; Arnold Ganser; Jürgen Finke; Igor Wolfgang Blau; Nicolaus Kröger; Peter Kalhs; Edouard Forcade; Donald Bunjes; Alexandros Spyridonidis; Bipin Savani; Arnon Nagler; Mohamad Mohty

Deposition and Disposition of [C]Zanamivir Following Administration as an Intranasal Spray

Clinical Pharmacokinetics

IF0

1999-01-01

PREAI

Mats Bergstrom; Lindsey M.R. Cass; Sven Valind; Goran Westerberg; Eva-Lise Lundberg; Steven Gray; Alan Bye; Bengt Langstrom

Failed institution building: Understanding the interplay between agency, social skill and context

Scandinavian Journal of Management

IF0

2008-03-01

PREAI

Tim Edwards; Ossie Jones