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Subjects / keywords: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods

Subjects / keywords: partial differential equations, boundary and initial value problems, non-linear analysis, applied mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quanti...

Solving mathematical equations faster and more efficiently has been a Holy Grail for centuries for scientists and engineers across all disciplines. While electronic digital circuits have revolutionized equation solving i...

Subjects / keywords: Partial differential equation; Nonlinear system; Artificial neural network; Context (archaeology); Inverse problem; Partial derivative; Computer science; Automatic differentiation; Applied mathematics; Physical law; Math...

La mayoría de los modelos matemáticos empleados para describir fenómenos físicos reales en ciencia e ingeniería están gobernados por ecuaciones parciales diferenciales no-lineales dependientes del tiempo PDEs (Part...

This thesis, entitled €High Performance Computing for solving large sparse systems. Optical Diffraction Tomography as a case of study€ investigates the computational issues related to the resolution of linear systems o...

This book presents an introduction to the Finite Element Method (FEM) and is primarily aimed at students, engineers and scientists who already know structural calculation. It starts from the matrix reformulation of the d...

In this paper we present a theoretical framework and numerical comparisons for a wavelet-based algorithm associated with both method of lines and wavelets for solving some partial differential equations. In particular, w...

This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2+1)–dimensional singular pseudoparabolic equations in both linear and...

We evaluate the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations. The methods are based on affine combinations of time-splitting integ...

When solving, modeling or reasoning about complex problems, it is usually convenient to use the knowledge of a parallel physical system for representing it. This is the case of lumped-circuit abstraction, which can be us...

"Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding porous medium. The numerical simulation of the flow in...

Connected and automated vehicles (CAVs) are expected to reshape traffic flow dynamics and present new challenges and opportunities for traffic flow modeling. While numerous studies have proposed optimal modeling and cont...

Abstract Nanofluids have emerged as promising heat transfer media due to their superior thermal performance associated to conventional fluids, yet their behavior under mutual impacts of radiation, heat source/sink, and m...

A procedure for obtaining the initial value of the costate in a regular, finite-horizon, nonlinear-quadratic problem is devised in dimension one. The optimal control can then be constructed from the solution to the Hamil...

While conventional von Neumann based machines are increasingly challenged by modern day requirements, electromagnetic analog computing devices promise to provide a platform that is highly parallel, efficient and fast. Al...

Abstract The drift-diffusion model is considered as one of the most important models which is used to describe the characteristics of semiconductor devices and can be applied to wide range of applications started from mi...

In this work, we study the stagnation point flow of Casson fluid  and heat transfer phenomena in presence of thermal radiation  and  magnetic field. We used the suitable similarity transformation to reduce  governing...

Abstract The meshless element-free Galerkin method (EFGM) is used to solve partial differential equations responsible for obtaining the electromagnetic fields generated by a transmission line. For this purpose, a 2D mode...

The effects of induced magnetic field, thermal and concentration convection on the peristaltic flow of Prandtl nanofluids are explored in this study in an inclined asymmetric channel. A detailed mathematical explanation ...

Abstract This study examines the flow and heat transfer behavior of a tri-hybrid nanofluid over an exponentially stretching/shrinking surface, incorporating the influences of thermal radiation, viscous dissipation, inter...

The mass and energy transfer during osmotic microwave drying (OD-MWD) process was studied theoretically by modeling and numerical simulation. With the aim to describe the transport phenomena that occurs during the combin...

From the Publisher: This is the revised and greatly expanded Second Edition of the hugely popular Numerical Recipes: The Art of Scientific Computing. The product of a unique collaboration among four leading scientists in...

A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium is presented, with emphasis on comparisons between theory and quantitative experiments. Examples include patterns in hydr...