Partial Differential Equations in Applied Mathematics, 2022 The dynamics of high-energy scattering of hadrons are governed by Quantum Chromodynamics (QCD). In the parton model of QCD, scattering can be represented as a kind of reaction–diffusion process and consequently can be included in the category of the Fisher–Kolmogorov–Petrovsky–Piscounov (FKPP) equation.
Shafeeq Rahman Thottoli +3 more
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Alexandria Engineering Journal, 2018 This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method. Simulating five different test problems, the obtained results are compared with exact solution as well as the numerical solution obtained by other researchers.
Geeta Arora, Varun Joshi
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Relief well pumping strategy for levee safety based on multivariate adaptive regression splines (MARS) and Non-dominated Sorting Genetic Algorithm II (NSGA-II) [PDF]
Scientific ReportsRelief wells’ performance gradually decreases over time due to physical and chemical clogging during the operations. Pumping at relief wells is an economic and feasible method to improve the performance of relief wells instead of installing new wells ...
Mi Tian, Hao Fan, Awei An, Xiaotao Sheng
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Numerical Computation of Time Independent and Dependent Dirac Equation Using Atomically Balanced Operator and B-Spline Basis [PDF]
, 2018 Hebah Rizq
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Deconvolution, differentiation and Fourier transformation algorithms for noise-containing data based on splines and global approximation [PDF]
, 1988 One of the main problems in the analysis of measured spectra is how to reduce the influence of noise in data processing. We show a deconvolution, a differentiation and a Fourier Transform algorithm that can be run on a small computer (64 K RAM) and ...
Sasse, A.G.B.M. +2 more
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Successive dynamic programming and subsequent spline optimization for smooth time optimal robot path tracking [PDF]
Mechanical Sciences, 2015 The time optimal path tracking for industrial robots regards the problem of generating trajectories that follow predefined end-effector (EE) paths in shortest time possible taking into account kinematic and dynamic constraints. The complicated tasks used
M. Oberherber, H. Gattringer, A. Müller
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B-Spline Finite Elements and their Efficiency in Solving Relativistic Mean Field Equations [PDF]
, 1997 A finite element method using B-splines is presented and compared with a conventional finite element method of Lagrangian type. The efficiency of both methods has been investigated at the example of a coupled non-linear system of Dirac eigenvalue ...
Davies +14 more
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L1 Control Theoretic Smoothing Splines [PDF]
, 2014 In this paper, we propose control theoretic smoothing splines with L1 optimality for reducing the number of parameters that describes the fitted curve as well as removing outlier data. A control theoretic spline is a smoothing spline that is generated as
Martin, Clyde F., Nagahara, Masaaki
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A novel approach for numerical computation of Burgers’ equation in (1 + 1) and (2 + 1) dimensions
Alexandria Engineering Journal, 2016 This paper proposes a new scheme termed as modified extended cubic B-Spline differential quadrature (mECDQ) method for time dependent partial differential equations.
Brajesh Kumar Singh, Pramod Kumar
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Comparison of Current Gravity Estimation and Determination Models [PDF]
, 2018 This paper will discuss the history of gravity estimation and determination models while analyzing methods that are in development. Some fundamental methods for calculating the gravity field include spherical harmonics solutions, local weighted ...
Hillman, Kyle
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