Conditions (usually justified by no-arbitrage arguments) that are imposed on the boundary of the domain where the solution of a differential equation is sought. Natural conditions are usually imposed through a surface term after partial integration; essential conditions are imposed explicitly in the linear system by replacing an equation by the condition.

The stage, discharge, or rating curve data needed at one or more terminating branches of an unsteady-flow model in order to solve the equations of flow for the system.

Hydraulic head or mass/heat-transport, flux, transfer and well conditioning values along sections and on single nodes. Along the spatial boundaries of the model the flux boundary is set 0 as default. The boundary is therefore impermeable.

The properties of a system which are externally imposed on it.

In SUTRA, "boundary condition" refers to a specification of pressure, concentration/temperature, or mass/energy flux made at a node. Boundary conditions are not restricted to the physical boundary of the model; they can be assigned to any node. By default, there is no flux in or out of the model domain at nodes for which a boundary condition has not been explicitly assigned. Boundary conditions are assigned through datasets 17, 18, 19, and 20 of the main input (".inp") file. Time-dependent boundary conditions must be programmed by the user in subroutine BCTIME. For details, see Section 7.5 and Appendix B of the SUTRA documentation, and " Time-dependent boundary conditions" on the " Special topics" page.

Boundary conditions are known conditions that can be applied to a part. Assigned Temperature parts allow the specification of a temperature boundary condition. Calculated Temperature parts allow the specification of an imposed heat source, a convection coefficient, and a fluid temperature.

Water levels, flows, concentrations, stage/discharge relationships, etc., that are specified at the boundaries of the area being modeled. A specified tailwater elevation and incoming upstream discharge are typical boundary conditions.

The range of inquiry established as the subject matter of the roadmap project â€“ its scope. The boundary conditions include interfaces between elements within the scope of the roadmapping project and considerations external to that scope.

The state of a physical system at a boundary. Interesting computer simulations usually require boundary conditions.

Inputs at the edge of the range of acceptable values. There are many kinds of boundary conditions, including: â€¢ Zero values, null values or other kinds of empty or missing values â€¢ Very large or very small numbers that donâ€™t conform to expectations (like a rate of 10000%, or an account that has been active for a million years) â€¢ Arrays and lists that contain duplicates or are sorted in unexpected ways â€¢ Events that happen out of order, like accessing a database before itâ€™s opened â€¢ Badly formatted data (like an invalid XML file)

The temperature and relative humidity of the boundary layer.

Auxiliary conditions for a differential equation that solutions must satify at two or more different values of the independent variable. For example, the solution to the differential equation might be required to satisfy u(0)=0 and u(1)=0.

the physical conditions at the boundaries of a system. Examples are model bottom and no-flow boundaries at the lateral aquifer terminus, fixed flux boundaries representing a fixed inflow or outflow of water across that boundary cell, and fixed head boundaries representing potentiometric head that is held constant by some external force such as a river or lake. A mathematical represetation of boundary conditions must be specified in a numerical ground water flow model.

Constraints that a wavefunction must fulfill if it is to be an acceptable physical solution of the Schrodinger equation. (Some mathematically acceptable solutions are ruled out because of the physical results they imply.) Quantisation arises as a result of the necessity to conform to boundary conditions.

The conditions which occur on the limits of the operation of the product, such as the largest or most precise number, or the use of the product when environmental conditions are limited (such as running out of disk or memory). These are also known as corner case conditions.

In order to study an ecosystem, a researcher must delimit the system spatially, temporarily, and often structurally and functionally. These limits describe the boundary conditions of the system and the study.

A set of mathematical conditions to be satisfied, in the solution of a differential equation, at the edges or physical boundaries (including fluid boundaries) of the region in which the solution is sought. The nature of these conditions is usually determined by the physical nature of the problem, and is a necessary part of the problem's complete formulation. Common boundary conditions for the atmosphere are that the velocity component normal to the earth's surface vanish, and that the individual derivative of pressure vanish at the upper surface. The term is also used in the context of the time evolution of an "open" dynamical system that interacts with other "external" systems. The state of the external systems must be specified as a boundary condition to infer the evolution of the dynamical system under consideration. For example, the evolution of the earth's atmospheric state requires the specification of sea surface temperature as a boundary condition. See kinematic boundary condition, dynamic boundary condition, boundary-value problem, initial condition.