Boundary-value problem

From Glossary of Meteorology

boundary-value problem

A physical problem completely specified by a differential equation in an unknown, valid in certain information (boundary conditions) about the unknown given on the boundaries of that region.

The information required to determine the solution depends completely and uniquely on the particular problem. A great variety of meteorological problems are formulated as boundary-value problems.
See also initial-value problem.

Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact [email protected]. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.