Explore the complete Abel Prize winners list. Discover the greatest mathematicians, their groundbreaking work, and why it's ...

Neuromorphic computers modeled after the human brain can now solve the complex equations behind physics simulations — something once thought possible only with energy-hungry supercomputers. The ...

Neuromorphic computers, inspired by the architecture of the human brain, are proving surprisingly adept at solving complex mathematical problems that underpin scientific and engineering challenges.

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ABSTRACT: In this article, we consider the conserved phase-field model based on microconcentrations. In particular, we prove the well-posedness to this model and then prove the convergence of the ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

ABSTRACT: This study compares the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential equations are ...

Abstract: This article presents a 32-bit floating-point (FP32) programmable accelerator for solving a wide range of partial differential equations (PDEs) based on numerical integration methods.

Abstract: In this paper, we introduce a reduced order Iterative Linear Quadratic Regulator (RO-ILQR) approach for the optimal control of nonlinear Partial Differential Equations (PDE). The approach ...