Systems of equations are sets of multiple equations that share common variables and are solved simultaneously. Mastering the various methods for solving these systems is crucial to understanding ...

Sparse methods are primarily valuable for systems in which the number of non-zero entries is substantially less than the overall size of the matrix. Such situations are common in physical systems, ...

1 Department of Environmental Health Science, University of Eswatini, Mbabane, Eswatini. 2 Department of Chemistry, University of Eswatini, Kwaluseni, Eswatini. Systems of linear equations or ...

An command-line app to solve systems of equations (3x3 only) using the iterative Gauss-Seidel Method, with user-specified decimal accuracy.

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. They are a crucial part of linear algebra and have various applications in fields like engineering, ...

Abstract: DG method is one of the mainstream high-order numerical discretization methods of CFD, and the RKDG which combines the Runge-Kutta explicit time stepping with DG space discretization plays ...

Abstract: An H-matrix accelerated direct solver employing the high-order Chebyshev-based Boundary Integral Equation (CBIE) method has been formulated, tested, and profiled for performance on high ...

ABSTRACT: In this paper, we introduce a Hermite operational matrix collocation method for solving higher-order linear complex differential equations in rectangular or elliptic domains. We show that ...