Results 131 to 140 of about 2,080,676 (172)
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2013
We look at the method of lines using standard initial-value problem (IVP) software for stiff problems. Both spectral methods and compact finite differences are used for the spatial derivatives. We look briefly at the transverse method of lines, which instead uses standard boundary value problem (BVP) software that has automatic mesh selection.
Robert M. Corless, Nicolas Fillion
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We look at the method of lines using standard initial-value problem (IVP) software for stiff problems. Both spectral methods and compact finite differences are used for the spatial derivatives. We look briefly at the transverse method of lines, which instead uses standard boundary value problem (BVP) software that has automatic mesh selection.
Robert M. Corless, Nicolas Fillion
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1999
This chapter examines the numerical solutions of pH problems in order of their increasing complexity, and of the sophistication and numerical prowess of the tools needed for their solution. First, it uses the logarithmic concentration diagram to visualize the proton condition.
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This chapter examines the numerical solutions of pH problems in order of their increasing complexity, and of the sophistication and numerical prowess of the tools needed for their solution. First, it uses the logarithmic concentration diagram to visualize the proton condition.
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2018
In this chapter we develop simple methods for solving numerical problems. We start with linear equation systems, continue with nonlinear equations and finally talk about optimization, interpolation, and integration methods. Each section starts with a motivating example from economics before we discuss some of the theory and intuition behind the ...
Hans Fehr, Fabian Kindermann
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In this chapter we develop simple methods for solving numerical problems. We start with linear equation systems, continue with nonlinear equations and finally talk about optimization, interpolation, and integration methods. Each section starts with a motivating example from economics before we discuss some of the theory and intuition behind the ...
Hans Fehr, Fabian Kindermann
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Numerical Solution of Equations
2020Solving equations, and systems of equations, of all kinds, both algebraic and transcendental, is a very frequent task in a physicist’s life. Very often equations, particularly algebraic nonlinear equations and transcendental equations, have no analytical solutions. In this case we look for approximate numerical solutions.
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Numerical Solution of Nonlinear Equations
ACM Transactions on Mathematical Software, 1979The numermal solutmn of n nonhnear equatmns in n varmbles using the methods of Newton, Brown, and Brent is drscussed. The algorithms are described in detail and their lmplementatmns are compared on a set of test problems.
More, Jorge J., Cosnard, Michel Y.
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Numerical Solutions in Remote Sensing
Applied Optics, 1975Several aspects of the behavior of Fredholm integral equations are examined in this paper. It is shown that collocation methods are better in general than least squares methods in linear approaches. The amplification of random noise inherent to the numerical inversion of the equation puts an upper limit to the information content of an ill-conditioned ...
J Y, Wang, R, Goulard
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Numerical solution of Burger's equation
Communications in Numerical Methods in Engineering, 1993AbstractIn the present paper numerical solutions of the one‐dimensional Burger equation are obtained. The technique of finitely reproducing non‐linearities introduced by Bazley is used. This technique when applied to Burger's equation gives a method where a system of non‐linear ordinary differential equations is to be solved.
Mittal, R. C., Singhal, Poonam
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2013
The peridynamic (PD) equation of motion is an integro-differential equation, which is not usually amenable for analytical solutions. Therefore, its solution is constructed by using numerical techniques for spatial and time integrations. The spatial integration can be performed by using the collocation method of a meshless scheme due to its simplicity ...
Erdogan Madenci, Erkan Oterkus
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The peridynamic (PD) equation of motion is an integro-differential equation, which is not usually amenable for analytical solutions. Therefore, its solution is constructed by using numerical techniques for spatial and time integrations. The spatial integration can be performed by using the collocation method of a meshless scheme due to its simplicity ...
Erdogan Madenci, Erkan Oterkus
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2009
To learn about the causes of aggregate fluctuations is one of the basic goals of Macroeconomics. One of the main characteristics of aggregate fluctuations is that business cycles are neither regular nor predictable. Because of that, most economists consider that there are different shocks impinging on the economy, which are different in nature and ...
Alfonso Novales +2 more
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To learn about the causes of aggregate fluctuations is one of the basic goals of Macroeconomics. One of the main characteristics of aggregate fluctuations is that business cycles are neither regular nor predictable. Because of that, most economists consider that there are different shocks impinging on the economy, which are different in nature and ...
Alfonso Novales +2 more
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