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Implementation of Numerical Experiments
The last chapter is dedicated to the numerical experiments to verify our theoretical results obtained in this monograph, particularly in Chaps....
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Numerical Experiments
In this part, we discuss the results of our numerical tests. The code is based on Python 3.11. It is available for download from the last author’s...
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Numerical Experiments with the Nemo Ocean Circulation Model and the Assimilation of Observational Data from Argo Drifters
AbstractIn this paper the spatiotemporal variability of the characteristics of the ocean circulation model, the Nucleus for European Modeling of the...
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Numerical Study of Stress Estimation Methods for Membrane Inflation Experiments
AbstractStatically determinate structure is the one that for given geometries and boundary conditions will give nearly the same stress field for...
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Numerical Experiments and Visualization of Chaos
The visualization of orbits and attractors of chaotic systems is a process that has been in progress for some time. Advances in computation, both in...
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Guidelines for RBF-FD Discretization: Numerical Experiments on the Interplay of a Multitude of Parameter Choices
There exist several discretization techniques for the numerical solution of partial differential equations. In addition to classical finite...
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Modified inertial algorithms for inclusion problems with numerical experiments and application to image restoration
In this paper, we introduce two modified algorithms based on the inertial forward–backward method to find the common solution of an inclusion problem...
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Numerical Experiments on Extreme Waves Through Oblique–Soliton Interactions
Extreme water-wave motion is investigated analytically and numerically by considering two-soliton and three-soliton interactions on a horizontal...
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Experiments
It’s quite exciting to unearth insights from data or your own thought experiments that could be implemented on your site and drive real, significant...
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Numerical Integration
Does our multilevel refinement work well? Does it approximate well the original domain? To check on this, we use numerical integration. Fortunately,...
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Sequential good lattice point sets for computer experiments
Sequential Latin hypercube designs (SLHDs) have recently received great attention for computer experiments, with much of the research restricted to...
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Müntz sturm-liouville problems: Theory and numerical experiments
This paper presents two new classes of Müntz functions which are called Jacobi-Müntz functions of the first and second types. These newly generated...
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Numerical Simulation of Inverse Retrospective Problems for a Nonlinear Heat Equation
AbstractA method is proposed for numerically solving the inverse problem of restoring the initial condition for a nonlinear one-dimensional heat...
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Mathematical Experiments on Paper and Computer
We propose a characterization of mathematical experiments in terms of a setup, a process with an outcome, and an interpretation. Using a broad notion...
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Implementation Issues and Numerical Experiments
In this chapter we discuss issues with implementation for the two-dimensional problems discussed in this part of the book. First we mention some...
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On Numerical Solutions for a Class of Relativistic Quasilinear Schrödinger Equations
We study the numerical solutions for a class of quasilinear Schrödinger equations arising from the self-channeling of high-power ultra short lasers...
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Geometric Numerical Integration
Modern Numerical Analysis is not only devoted to approximating the solutions of various problems through accurate and efficient numerical schemes,...
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High Resolution Well-Balanced Compact Implicit Numerical Scheme for Numerical Solution of the Shallow Water Equations
In this work, we solve the shallow water equations with topography using a novel high resolution well-balanced compact implicit finite difference...
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The Role of Experiments in Experimental Mathematics
This chapter is devoted to discussions about the nature of experiments in mathematics during the formative period of experimental mathematics and to...
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The Infinity Laplacian Eigenvalue Problem: Reformulation and a Numerical Scheme
In this work, we present an alternative formulation of the higher eigenvalue problem associated to the infinity Laplacian, which opens the door for...
