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Numerical Solutions

2008
Computational design is already recognized as a standard prototyping tool outside the food industry (e.g., automotive and aviation industry), where it has proved to have an advantage in terms of costs and development time. Most of the costs in foods development are concentrated in the design, prototyping, and testing phases.
T Koray Palazo glu, Ferruh Erdo_du
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Numerical Solution

2009
Abstract This chapter describes the method for numerical integration of the equations that underlie NeuroDynamix II models.
W. Otto Friesen, Jonathon A. Friesen
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Numerical Solution of Asymmetric Auctions

Decision Analysis, 2021
We propose the backward indifference derivation (BID) algorithm, a new method to numerically approximate the pure strategy Nash equilibrium (PSNE) bidding functions in asymmetric first-price auctions. The BID algorithm constructs a sequence of finite-action PSNE that converges to the continuum-action PSNE by finding where bidders are indifferent ...
Timothy C. Au, David Banks, Yi Guo
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Numerical Solution of ODEs

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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Numerical solutions

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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Numerical solution methods

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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Numerical Solution of Equations

2020
Solving 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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