Numerical Methods for Scientific Computing
This special issue belongs to the section "E: Applied Mathematics".
Special Issue Information
Dear Colleagues,
The Special Issue, “Numerical Methods for Scientific Computing”, focuses on the application and development of computational techniques for solving scientific problems and delves into various numerical methods employed in fields such as physics, engineering, mathematics, and more. The Special Issue explores topics including numerical differential equations, numerical optimization, numerical linear algebra, numerical multilinear algebra, eigenvalue problems and nonlinear eigenvalue problems, and matrix and tensor approximation. The emphasis is placed on the theoretical foundations, algorithmic advancements, and practical applications of these numerical techniques. By addressing these areas, this Special Issue aims to contribute to the advancement of scientific computing and its interdisciplinary applications.
Prof. Dr. Ching-Sung Liu
Prof. Dr. Xiaobing Feng
Guest Editors
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Keywords
- numerical methods
- numerical differential equations
- numerical optimization
- numerical linear algebra
- numerical multilinear algebra
- eigenvalue problems
- nonlinear eigenvalue problems
- matrix approximation
- tensor approximation
- bisection method
- Newton’s method
- secant method
- integration
- midpoint rule
- trapezoidal rule
- adaptive integration
- initial value problem
- euler method
- second-order runge-kutta methods
- system of differential equations
- boundary value problems
- linear algebra
- gaussian elimination
- finite difference approximation
- iterative methods
- piecewise linear interpolation
- multidimensional interpolation
- least-squares approximation
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Published Papers
Mathematics - ISSN 2227-7390