Linear Interpolation

Part 1 book "Numerical methods for chemical engineers with MATLAB applications" includes content: Numerical solution of nonlinear equations, numerical solution of simultaneous linear algebraic equations, finite difference methods and interpolation, numerical differentiation and integration.

282p muasambanhan09 12-03-2024 1 0   Download

Part 1 book "Computational physics - Simulation of classical and quantum systems" includes content: Error analysis, interpolation, numerical differentiation, numerical integration, systems of inhomogeneous linear equations, roots and extremal points, fourier transformation, time frequency analysis, random numbers and monte carlo methods, eigenvalue problems, data fitting, discretization of differential equations.

337p muasambanhan02 18-12-2023 6 4   Download

Ebook "Numerical methods in engineering with python" includes content: Introduction to python, systems of linear algebraic equations, interpolation and curve fitting, roots of equations, numerical differentiation, numerical integration, initial value problems, two point boundary value problems, symmetric matrix eigenvalue problems, introduction to optimization.

434p haojiubujain07 20-09-2023 3 3   Download

Ebook "Numerical recipes in C - The art of scientific computing" includes content: Preliminaries, solution of linear algebraic equations, interpolation and extrapolation, integration of functions, evaluation of functions, special functions, random numbers, sorting, root finding and nonlinear sets of equations, minimization or maximization of functions, eigensystems, fast fourier transform,... and other contents.

1018p haojiubujain07 20-09-2023 4 3   Download

Ebook "Numerical recipes in C" includes content: Preliminaries, solution of linear algebraic equations, interpolation and extrapolation, integration of functions, evaluation of functions, special functions, random numbers, root finding and nonlinear sets of equations,...and other contents.

1018p haojiubujain07 20-09-2023 9 3   Download

Part 1 of ebook "Computational physics: Simulation of classical and quantum systems" has presents the following content: numerical methods; error analysis; interpolation; numerical differentiation; numerical integration; systems of inhomogeneous linear equations; roots and extremal points; fourier transformation; random numbers and monte carlo methods; eigenvalue problems; data fitting; discretization of differential equations;...

244p dieptieuung 20-07-2023 6 2   Download

An improved six-node triangular finite element based on a twice-interpolation strategy (TIS) for accurately modeling singular stress fields near crack tips of two-dimensional (2D) cracks in solids is presented. In contrast to the traditional approaches, the approximation functions constructed based on the TIS involve both nodal values and averaged nodal gradients.

9p vidoctorstrange 06-05-2023 3 2   Download

The spatial distribution of our interpolated precipitation is similar to the WorldClim data but has a smaller difference in the mean annual precipitation. The results, which shows higher spatial resolution and are closer to the observed data than those from the WorldClim, could be better applied for predicting species distribution in the region.

17p vicaptainmarvel 21-04-2023 4 2   Download

This paper presents a numerical investigation into the solidification process in an annulus that is placed horizontally. The method used is a front-tracking method combined with a linear interpolation technique. The inner wall of the annulus is held at cold temperature, which is lower than the melting point of the liquid, while its outer wall is insulated during solidification.

4p vispyker 16-11-2022 5 1   Download

(BQ) Ebook Numerical recipes in Fortran 77: The art of scientific computing (Volume 1 of Fortran Numerical recipes) – Part 1 presents the following content: Preliminaries, solution of linear algebraic equations, interpolation and extrapolation, integration of functions, evaluation of functions, special functions, random numbers, sorting, root finding and nonlinear sets of equations, minimization or maximization of functions, eigensystems.

519p runordie6 10-08-2022 11 4   Download

Purpose: Study the existence of inertial manifolds and the asymptotic behavior of solutions to certain classes of evolution equations in an infinite-dimensional Banach space. The evolution equations considered with the linear parts is the generator of a semigroup and the Lipschitz coefficient of the nonlinear term may depend on time and belongs to admissible function spaces which contain wide classes of function spaces like Lp-spaces, the Lorentz spaces Lp,q and many other function spaces occurring in interpolation theory.

27p tunelove 10-06-2021 19 3   Download

This paper reports the application of consecutive-interpolation procedure into four-node quadrilateral elements for analysis of two-dimensional cracked solids made of functionally graded composite plate. Compared to standard finite element method, the recent developed consecutiveinterpolation has been shown to possess many desirable features, such as higher accuracy and smooth nodal gradients it still satisfies the Kronecker-delta property and keeps the total number of degrees of freedom unchanged.

11p nguaconbaynhay11 07-04-2021 20 1   Download

In the present work, the large displacement behaviour of FGSW beams in thermal environment is studied by a finite element formulation. The beams considered herein consist of three layers, a homogeneous core and two FGM skin layers. The material properties are assumed to be temperature dependent, and they are graded in the thickness direction by a power gradation law. Based on Antman beam model, a nonlinear beam element using linear interpolation is formulated in the context of the total Lagrange formulation.

20p nguaconbaynhay11 07-04-2021 17 1   Download

The present work is devoted to the analysis of non-linear heat transfer problems using the recent development of consective-interpolation procedure. Approximation of temperature is enhanced by taking into account both the nodal values and their averaged nodal gradients, which results in an improved finite element model.

13p nguaconbaynhay11 07-04-2021 13 1   Download

We developed a novel de-arraying approach for TMA analysis. By combining wavelet-based detection, active contour segmentation, and thin-plate spline interpolation, our approach is able to handle TMA images with high dynamic, poor signal-to-noise ratio, complex background and non-linear deformation of TMA grid.

23p viconnecticut2711 28-10-2020 13 1   Download

Motivated by the fact that the fractional Laplacean generates a wider choice of the interpolation curves than the Laplacean or bi-Laplacean, we propose a new non-local partial differential equation inspired by the Cahn-Hilliard model for recovering damaged parts of an image. We also note that our model is linear and that the computational costs are lower than those for the standard Cahn-Hilliard equation, while the inpainting results remain of high quality.

10p dayhoctainha 10-09-2020 17 0   Download

This chapter presents the following content: Cubic spline interpolation, multidimensional interpolation, curve fitting, linear regression, polynomial regression, the polyval function, the interactive fitting tools, basic curve fitting, curve fitting toolbox, numerical integration.

32p nanhankhuoctai10 23-07-2020 23 2   Download

In this article, a novel derivative-free (DF) surrogate-based trust region optimization approach is proposed. In the proposed approach, quadratic surrogate models are constructed and successively updated. The generated surrogate model is then optimized instead of the underlined objective function over trust regions. Truncated conjugate gradients are employed to find the optimal point within each trust region. The approach constructs the initial quadratic surrogate model using few data points of order O(n), where n is the number of design variables.

10p trinhthamhodang1 16-11-2019 30 2   Download

This research presents signal-image post-processing techniques called Intensity-Curvature Measurement Approaches with application to the diagnosis of human brain tumors detected through Magnetic Resonance Imaging (MRI). Post-processing of the MRI of the human brain encompasses the following model functions: (i) bivariate cubic polynomial, (ii) bivariate cubic Lagrange polynomial, (iii) monovariate sinc, and (iv) bivariate linear.

25p trinhthamhodang1 16-11-2019 19 3   Download

In this paper, we combine the interpolation and the spatial correlation techniques to estimate the channel coefficient in wideband multi-input multi-output orthogonal frequency division multiplexing (MIMO-OFDM) system.

7p viminotaur2711 29-10-2019 16 1   Download