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boundary condition

American  

noun

Mathematics.
  1. a stated restriction, usually in the form of an equation, that limits the possible solutions to a differential equation.


boundary condition Scientific  
/ boundə-rē /
  1. The set of conditions specified for the behavior of the solution to a set of differential equations at the boundary of its domain. Boundary conditions are important in determining the mathematical solutions to many physical problems.


Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

"They’re using boundary conditions from climate models that don’t result some of the critical physics behind how climate change is impacting these events — specifically, resonant atmospheric planetary waves," Mann said.

From Salon

As supercomputers grow larger, however, he anticipates that it might also become possible to simulate not just properties but also thermodynamic processes using boundary conditions that are close to real-world applications.

From Science Daily

To analytically solve such a problem, one would first find what the wave looks like at either side of the interface, and then employ electromagnetic boundary conditions to link the two sides together.

From Science Daily

That typically requires finding some symmetry that makes the boundary conditions simple or biting the bullet and doing the integration for some fixed values of the input variables.

From Science Magazine

As research problems go, it’s a bird’s nest of a bird’s nest: All the input parameters and boundary conditions are interwoven, in ways that prove difficult to tease apart.

From New York Times