Numerical Methods for PDEs
Adaptive numerical methods for PDEs
... nonlinear methods will be formu- lated in the context of ...to numerical methods for PDEs can be found in the excellent accounts [8] and ...
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Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications
... tensor numerical methods for multidimen- sional stationary and time-dependent partial differential equations ...parametric PDEs, and to dynamical equations arising in scientific ...traditional ...
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An assessment of numerical methods for cardiac simulation
... the numerical methods used to solve the bidomain model, it is important to understand how the available software packages are currently solving the bidomain ...
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Some stochastic particle methods for nonlinear parabolic PDEs
... Vortex methods denotes a class of numerical methods for approximating the solution of the incompressible Navier Stokes or Euler equations (ν = ...a numerical procedure, solving succes- sively ...
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An Analytical and Numerical Study of a Class of Nonlinear Evolutionary PDEs.
... several numerical simulations, which solve the CH equation under a wide range of initial ...presented numerical examples do not only corroborate the analytical results, but also demonstrate some of the ...
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Finite element methods for surface PDEs
... the methods described in this article is the avoid- ance of charts both in the problem formulation and the numerical ...the methods based on implicit surfaces require only the level set function ...
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An efficient indirect RBFN-based method for numerical solution of PDEs
... In the context of meshless numerical methods, Atluri and Zhu [18] gave the defini- tion of a truly meshless method. A method is regarded as a truly meshless method if both processes of interpolation ...
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Feel++ : A computational framework for Galerkin Methods and Advanced Numerical Methods
... Galerkin methods are a common tool among mathematicians and ...of numerical method, ...robust numerical methods, demand from scientific computing platforms general and clear enough languages ...
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Numerical Methods for Advection Problem
... short PDEs. The PDEs are also involved in the mathematical study of many problems encountered in various fields of science (mechanics, chemistry, economics, biology, ...
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Research Interests: Numerical Analysis Differential Quadrature Method Haar Wavelets Analysis Finite Element Methods, Numerical Solution of PDEs
... 4. R C Mittal, S Kumar, Ram Jiwari, A cubic B-spline quasi-interpolation method for solving two-dimensional unsteady advection diffusion equations, International Journal of Numerical Methods for Heat & ...
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Study the Numerical Methods for Solving Syste...
... In this Paper, we have discussed the numerical methods for solving system of equation and ordinary differential equation . Some necessary condition and definition are given to examine the numerical ...
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An Overview of Numerical Methods for Reynolds Equation
... In order to shorten the momentum equation used in solving time, Guo Le[17] used the three steps of finite element method to discrete the Reynolds equation, and combined the high order wi[r] ...
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Numerical methods for changing type systems
... a numerical method for partial differential equations with changing ...our numerical method in a discontinuous Galerkin approach in space-time with certain exponentially weighted ...
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Fast Numerical Methods for Evolving Interfaces
... One example of this is in the field of geology where the slowness function is defined by the type of rock or soil [48]. Table 4.3 shows the performance of Fast Marching and Fast Sweeping on a domain with a slowness ...
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Numerical methods for nonlinear systems of equations
... Recently, nonlinear systems of equations appear in numerical applications frequently. Normally, we will use Newton's method and quasi-Newton method to solve the nonlinear systems of equations. In this study, we ...
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Analytical and numerical methods for the Riemann problem
... The Riemann problem arises in different branches of mathematics as well as in applications. For example, the complex Dirichlet problem which is one of the well-known classical boundary value problems is a particular case ...
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On Identification of Nonlinear Parameters in PDEs
... The results of Example 4.1.1 are shown in Figures 4.1, 4.2, and 4.3. The first thing to note is that the parameter is identified well for all choices of parameter map g, both for linear maps and for nonlinear maps. This ...
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Numerical Methods for Many-Body Quantum Dynamics
... of methods for simulating time ...state methods, including the creation and truncation of matrix product states and time evolution by TEBD, to density matrices—which are, after all, vectors in a larger ...
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Numerical Simulation Methods for Biological Tissue Interactions
... Our numerical solver can handle two-phase flow problems with complicated interface geometry and discontinuous viscosity ...coefficients. Numerical experiments show the expected second-order accuracy for our ...
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NUMERICAL AND ANALYTIC METHODS OF ESTIMATION BRIDGES’ CONSTRUCTIONS
... the numerical and analytical methods of calculation of the stressed-and-strained state of bridge constructions are ...the numerical method and its so- lution by means of calculations in two bases are ...
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