SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods including their convergence, stability, and error ...
This is the PyTorch implementation of Legend-KINN, proposed by our paper "Legend-KINN: A Legendre Polynomial-Based Kolmogorov-Arnold-Informed Neural Network for Efficient PDE Solving", published in ...
Mathematics of Computation, Vol. 33, No. 148 (Oct., 1979), pp. 1251-1256 (6 pages) A polynomial representation of the hybrid methods for solving ordinary differential equations is presented. The ...
Roots can occur in a parabola in 3 different ways as shown in the diagram below: In diagram A, we can see that this parabola has 2 roots, diagram B has 1 root and diagram C has no roots. What type of ...
Abstract: This paper investigates the computational complexity involved when using Handelman relaxation method for solving multivariable polynomial optimization problems. In particular, the ...
Abstract: We give an efficient implementation of the modified minimal polynomial extrapolation (MMPE) method for solving linear and nonlinear systems. We will show how to choose the auxiliary vectors ...
In "CS364A: Algorithmic Game Theory," Tim Roughgarden states that any bimatrix, zero-sum game has a Nash Equilibrium that can be found within polynomial time. I do not have the skills to prove it, but ...
Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...
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