Examples of 'numerical solutions' in a sentence
Meaning of "numerical solutions"
Numerical solutions: This refers to a method of solving mathematical problems by obtaining numerical values or results. It is commonly used in the context of mathematics, physics, and engineering
How to use "numerical solutions" in a sentence
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numerical solutions
Numerical solutions of ordinary differential equations pdf.
These equations have stable numerical solutions.
Analytic and numerical solutions of capillary moisture transfer.
This gives access to powerful techniques for numerical solutions.
Obtaining numerical solutions to more mathematically complex models.
There are working numerical solutions.
Numerical solutions for the classical problem were also found.
Analytical and numerical solutions are recommended.
The formulation is verified by comparison with analytical and numerical solutions.
The numerical solutions are calculated with spectral collocation method.
Validation of numerical solutions.
We find numerical solutions for a simplified version of the proposed model.
The results due to both analytical and numerical solutions are in excellent agreement.
Numerical solutions for the governing momentum and energy equations are obtained.
They are usually complex and require computers to help with numerical solutions.
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Numerical solutions show a good agreement with available satellite and in situ observations.
The tests showed consistency in the results provided by the numerical solutions.
Our results are in agreement with numerical solutions and also with experimental results.
Obtain analytical solutions of which the effectiveness can be verified by numerical solutions.
The method is useful for obtaining numerical solutions to problems too complicated to solve analytically.
The approximations used bring into question the validity or relevance of numerical solutions.
Sample numerical solutions for this equation are given for various choices of plasma parameters.
The results are derived from both analytical and numerical solutions to the model.
Numerical solutions have been obtained by using the finite volume method with a fully implicit formulation.
Modern general equilibrium models are typically complex and require computers to help with numerical solutions.
Comparisons between analytical solutions and numerical solutions confirm properties deduced from the numerical analysis.
Numerical solutions show that cavitation causes severe prolongation and attenuation of the original tension wave.
The studies of the Chinese dealing with numerical solutions of equations are remarkable.
Numerical solutions of the Euler equations rely heavily on the method of characteristics.
FORTRAN code for efficient numerical solutions.
Alternatively numerical solutions can be obtained by Monte Carlo simulation.
However, approximations can be made using numerical solutions.
Today, numerical solutions are actively studied.
Conduction in permanent and transient, analytical and numerical solutions.
Today, FDMs are the dominant approach to numerical solutions of partial differential equations.
The numerical solutions are then used to evaluate a number of matrix elements to order? 2.
Their stability, and illustrate the outcome with numerical solutions.
The implementation and numerical solutions are obtained in the simulation framework freeflow-2d.
For both approaches, simple models are developed, using analytical or numerical solutions.
Numerical solutions are presented for the governing momentum and angular-momentum equations.
Large-scale digital computers replaced the analog methods with numerical solutions.
Opera provides accurate numerical solutions to real-world problems in the following areas,.
In the third chapter, we propose finite-volume schemes in order to construct numerical solutions.
Numerical solutions of the Laplace 's equation.
They combine well-proven technology with modern, flexible mesh methods and efficient numerical solutions.
The method proceeds as follows, The numerical solutions correspond to the underlined values.
The numerical solutions pioneered a new concept of 2.5D simulation.
With the aid of computers, however, numerical solutions have been obtained.
Numerical solutions are the basis of modern computer simulation techniques as described in Sections 5.3 and 8.8.
Integral equations ; Numerical solutions.
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A numerical index of the contrast degree is displayed
Whether to show the numerical value of chars
Examples of using Solutions
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There are no simple solutions to this oversight lacuna
Solutions do not seem too difficult to find
There were no ready solutions to either of those problems
