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Accelerated Free Energy Estimation in <i>Ab Initio</i> Path Integral Monte Carlo Simulations. [PDF]
J Phys Chem LettSvensson P +6 more
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Fatigue characteristics and mechanical evaluation of basalt fiber reinforced composite material concrete under freeze-thaw cycles. [PDF]
Sci RepSun H +6 more
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2018
This chapter will introduce one of the most straightforward numerical simulation methods: the finite difference method. We will show how to approximate derivatives using finite differences and discretize the equation and computational domain based on that. The discretization will be discussed for spatial and temporal derivatives sequentially.
O. A. Oleinik, V. N. Samokhin
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This chapter will introduce one of the most straightforward numerical simulation methods: the finite difference method. We will show how to approximate derivatives using finite differences and discretize the equation and computational domain based on that. The discretization will be discussed for spatial and temporal derivatives sequentially.
O. A. Oleinik, V. N. Samokhin
+5 more sources
1995
Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Richard L. Stoll, Kazimierz Zakrzewski
openaire +2 more sources
Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Richard L. Stoll, Kazimierz Zakrzewski
openaire +2 more sources
2013
Here we give a brief introduction to finite difference methods. We first explain the implicit method; then we move to the explicit method. The former is more robust, in that it converges to the solution of a partial differential equation as the discrete increments of the state variables approach zero.
L. M. Abadie, J. M. Chamorro
+4 more sources
Here we give a brief introduction to finite difference methods. We first explain the implicit method; then we move to the explicit method. The former is more robust, in that it converges to the solution of a partial differential equation as the discrete increments of the state variables approach zero.
L. M. Abadie, J. M. Chamorro
+4 more sources
2001
The finite difference method is a universally applicable numerical method for the solution of differential equations. In this chapter, for a sample parabolic partial differential equation, we introduce some difference schemes and analyze their convergence. We present the well-known Lax equivalence theorem and related theoretical results, and apply them
Kendall Atkinson, Weimin Han
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The finite difference method is a universally applicable numerical method for the solution of differential equations. In this chapter, for a sample parabolic partial differential equation, we introduce some difference schemes and analyze their convergence. We present the well-known Lax equivalence theorem and related theoretical results, and apply them
Kendall Atkinson, Weimin Han
openaire +1 more source
2001
In previous chapters, we have discussed the equations governing the structure of a steady flow and the evolution of an unsteady flow, and derived selected solutions for elementary flow configurations by analytical and simple numerical methods. To generate solutions for arbitrary flow conditions and boundary geometries, it is necessary to develop ...
openaire +1 more source
In previous chapters, we have discussed the equations governing the structure of a steady flow and the evolution of an unsteady flow, and derived selected solutions for elementary flow configurations by analytical and simple numerical methods. To generate solutions for arbitrary flow conditions and boundary geometries, it is necessary to develop ...
openaire +1 more source