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Optimal error estimates of the diffuse domain method for second order parabolic equations. [PDF]
BIT Numer MathHao W, Ju L, Xu Y.
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A neural network model for managing renewable resources with population growth. [PDF]
Sci RepAhmad S +3 more
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Dynamical analysis and exact solitary wave solutions of [Formula: see text]-dimensional integro-differential Jaulent-Miodek equation using two analytical schemes. [PDF]
Sci RepNasir B +5 more
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Numerical Solution of Asymmetric Auctions
Decision Analysis, 2021We 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 soliton solutions of improved Boussinesq equation [PDF]
International Journal of Numerical Methods for Heat and Fluid Flow, 2011 Purpose - The purpose of this paper is to use the homotopy perturbation method (HPM) to obtain numerical soliton solution of the improved Boussinesq equation (IBE).
Syed Mohyud-Din
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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.
Jorge J. Moré, Michel Cosnard
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Numerical solutions to noisy systems
49th IEEE Conference on Decision and Control (CDC), 2010A numerical method for rigorous over-approximation of a solution set of an input-affine system whose inputs represent some bounded noise is presented. The method gives high order error for a single time step and a uniform bound on the error over the finite time interval.
S. Živanovic (Sanja) +1 more
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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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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 solutions of the Laplace’s equation
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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