Numerical integration of linear boundary value problems in solid mechanics by segmentation method

1981 ◽  
Vol 17 (8) ◽  
pp. 1233-1256 ◽  
Author(s):  
Tarun Kant ◽  
C. K. Ramesh
Keyword(s):  
Boundary Value Problems ◽  
Numerical Integration ◽  
Solid Mechanics ◽  
Boundary Value ◽  
Linear Boundary ◽  
Segmentation Method

A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints

1983 ◽  
Vol 94 (3) ◽  
pp. 553-564 ◽  
Author(s):  
James Graham-Eagle
Keyword(s):  
Boundary Value Problems ◽  
Variational Formulation ◽  
Boundary Value ◽  
Capillary Waves ◽  
Original Study ◽  
New Method ◽  
Linear Boundary ◽  
Hydrodynamic Problem ◽  
Alternative Means ◽  
Standard Linear

The method to be described provides an alternative means of dealing with certain non-standard linear boundary-value problems. It is developed in several applications to the theory of gravity-capillary waves. The analysis is based on a variational formulation of the hydrodynamic problem, being motivated by and extending the original study by Benjamin and Scott [3].

Comparison of spectral methods for the evaluation of Stokes integral  

2021 ◽  
Author(s):  
Avadh Bihari Narayan ◽  
Ashutosh Tiwari ◽  
Govind Sharma ◽  
Balaji Devaraju ◽  
Onkar Dikshit
Keyword(s):  
Boundary Value Problems ◽  
Numerical Integration ◽  
Spectral Methods ◽  
Boundary Value ◽  
Fundamental Equation ◽  
Computation Time ◽  
Spherical Approximation ◽  
Integration Technique ◽  
Gravity Measurements ◽  
Stokes Integral

<p>The spherical approximation of the fundamental equation of geodesy defines the boundary value problems. Stokes’s integral provides the solution of boundary value problems that enables the computation of geoid from the properly reduced gravity measurements to the geoid. The stokes integral can be evaluated by brute-force numerical integration, spectral methods, and least-squares collocation. There is a trade-off between computation time and accuracy when we chose numerical integration technique or any spectral method. This research will compare time complexity and the accuracy of different spectral methods (1D-FFT, 2D-FFT, Multi-band FFT) and numerical integration technique for the region in the lower Himalaya, around Nainital, Uttarakhand, India. </p>

scholarly journals Multi-point Taylor approximations in one-dimensional linear boundary value problems

2009 ◽  
Vol 207 (2) ◽  
pp. 519-527 ◽  
Author(s):  
José L. López ◽  
Ester Pérez Sinusía ◽  
Nico M. Temme
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Linear Boundary ◽  
One Dimensional
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