- Standard integrals - Integration by reduction. - First-order ODEs: separable equations, homogeneous equations, integrating factor, variation of parameter. - Second-order ODEs: homogeneous equations ...

This paper deals with a qualitative and computational study of a class of integro-differential model, with a nonlinear growth rate. The model is applied to immunology problems, in particular to the ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Abstract: Iterative algorithms for X-ray CT image reconstruction offer the possibility of reduced dose and/or improved image quality, but require substantial compute time. Reducing the time will ...

This collection of Julia functions is an attemp to implement high performance numerical software to solve several classes of Lyapunov, Sylvester and Riccati matrix equations at a performance level ...

Adding Lp(a) to the PREVENT risk equations did not significantly improve risk prediction at the population level, but individuals may still benefit from knowing their levels.

The problem of singularity formation of the 3D incompressible Euler equations with smooth initial data has remained open since Leonhard Euler introduced the equations in 1757. Beyond its importance in ...

This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, ...

The stability, properties are examined of various time-varying linear differential equations which arise in model reference adaptive identification schemes. Necessary and sufficient conditions for ...

Julius AI is a cutting-edge math tutor designed to help students and professionals tackle math problems with ease. Known for its advanced computational capabilities, Julius has garnered the trust of ...

GCSE AQA Solving linear equations - AQA Solving equations Forming, using and solving equations are skills needed in many different situations. From balancing accounts to making sense of a mobile ...