Selecting solver, equation and solution convergence
An Extensible Differential Equation Solver
... Kearney, Nebraska 68849, USA June 7, 2001 Abstract We describe a method for solving linear second order differential equations in terms of hyperge- ometric and other (less well known) special functions. Intended as a ...
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About the Accuracy and the Grid Convergence of the Numerical Solution of the Energy Equation in Fluid Film Lubrication
... The numerical solution of the energy equation based on the Lobatto points collocation method 152. The Lobatto Point Collocation Method (LPCM) is based on the approximation of the temper[r] ...
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Multilevel level wavelet solver for the Ornstein-Zernike equation
... FWT’s and a single value of L = 4. The second one (W2) is based on the cycle (16) with parameters described in the previous section. Fig. 2 depicts the CPU time required to obtain the solution at various values of ...
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Binary Tree Banded Linear Equation System Solver
... equations solver Introduction A system of n simultaneous linear equations in n unknowns has a unique solution if the n equations are linearly ...the solution may be obtained by simple manual ...
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Poisson Equation Solver Parallelisation for Particle-in-Cell Model
... • PARDISO [Schenk et al., 2004]: Direct solver, supernodal LU decomposition. OpenMP (OMP) parallelisation (MPI in the latest version). • UMFPACK: Direct solver, LU decomposition. Reference case for ...
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A preconditioned iterative solver for the scattering solutions of the Schrödinger equation
... ¨odinger equation defines the dynamics of quantum particles which has been an area of unabated interest in ...¨odinger equation leads to a coupled linear system, whereby each diagonal block is a high ...
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A fast, spectrally accurate solver for the Falkner–Skan equation
... spectral convergence while performing sparse matrix operations in Gegenbauer ...Falkner–Skan equation, a well known problem in boundary layer fluid ...the convergence properties exhibited by this new ...
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On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler Lagrange Equation
... Euler-Lagrange Equation which arises from calculus of ...approximate solution of variational problems is ...the convergence control parameter is given through the square residual ...optimal ...
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Convergence to a viscosity solution for an advection-reaction-diffusion equation arising from a chemotaxis-growth model
... We consider the case of an arbitrary time interval and prove the convergence of the solution of this problem to the unique viscosity solution of a limit free boundary problem.. Introduct[r] ...
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A space-time parallel solver for the three-dimensional heat equation
... The ability to efficiently solve problems of similar type to the heat equation constitutes a building block for tackling more complex problems. In the Navier-Stokes equations, for example, implicit-explicit ...
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A space-time parallel solver for the three-dimensional heat equation
... The ability to efficiently solve problems of similar type to the heat equation constitutes a building block for tackling more complex problems. In the Navier-Stokes equations, for example, implicit-explicit ...
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PARAMETER VARIATION FOR LINEAR EQUATION SOLVER USING GENETIC ALGORITHM
... Equations solver have not been ...Linear equation as well as the ef- fects of varying the Population size and Number of Generation is ...linear equation solver program was run several times ...
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An Efficient Magnetic Field Integral Equation Based Iterative Solver
... iterative solution of the MFIE, applicable to arbitrary 3D PEC scattering ...the convergence of the iterative scheme, which directly uses the group partitioning introduced by the FaFFA, is ...
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EPIC: A New and Advanced Nonlinear Parabolized Stability Equation Solver
... Stability Equation (NPSE) solver developed in-house in our Computational Stability and Transition (CST) lab that will aid in the study, understanding, and prediction of laminar-to-turbulent boundary layer ...
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Cryptanalysis of Bivium using a Boolean all solution solver
... system solver which does not utilize a CNF representation as in SAT solvers nor algebraic methods of algebraic ...the equation formation is found to be feasible by the sequential implementation of the ...
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Deflation Technique to Accelerate the Convergence of Iterative Solver for the Wave Scattering Problem
... the Convergence of Iterative Solver for the Wave Scattering Problem ...iterative solution method for the discrete high wavenumber Helmholtz equation is ...for solution, already ...
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A Spectral Integral Equation Solution of the Gross Pitaevskii Equation
... n x x 2 are illustrated in Figure 2 for the ground state solutions. The convergence is oscillatory, and the gap between successive values of n x x 2 gradually decreases. The corresponding values of ...
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An efficient one dimensional parabolic equation solver using parallel computing
... NUMERICAL SOLUTION COMPARISON From the output of the C programme, it can be easily seen that the error of using ADI method is smaller than the tolerance, in twenty ...the convergence of ADI method is faster ...
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The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity
... the convergence analysis and error estimation for the unique solution of a p-Laplacian fractional differen- tial equation with singular decreasing ...The equation we studied in the present ...
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Selecting a Secure Conferencing Solution
... Selecting a Secure Conferencing Solution Conference access should be protected through Conference IDs, PINs, and passwords. • Participant list. A list of all conference participants should be provided, ...
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