Numerical Methods for Solving Nonlinear Problems in Science and Engineering

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 30 March 2026 | Viewed by 9

Special Issue Editor


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Guest Editor
1. Department of Applied Mathematics, Universitat Politècnica de València, 46022 Valencia, Spain
2. Institute for Multidisciplinary Mathematics (IM2), Universitat Politècnica de València, 46022 Valencia, Spain
Interests: numerical analysis; matrix analysis; dynamic analysis
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Special Issue Information

Dear Colleagues,

The growing complexity of real-world problems, as well as new advances in established computational theories, demand a wide range of innovative approaches to numerical simulations and the discovery of new and efficient calculation algorithms.

This Special Issue of Mathematics invites both original and survey manuscripts that bring together new mathematical tools and numerical methods for computational problems. Its main objective is to present the latest advances at the intersection between classical numerical methods, scientific machine learning, and other numerical approaches.

Numerical analysis is branch of mathematics concerned with designing algorithms, proving their convergence, and applying them to identify and solve the mathematical core of practical problems.

Numerical methods are applied in engineering, physical sciences, life sciences, social sciences, medicine, business, and more. The main aspects of interest for numerical schemes include approximation, simulation, and estimation, which are used in virtually every scientific field.

Topics of interest include the following: numerical stability, interpolation, approximation, quadrature methods, numerical linear algebra, ordinary differential equations with initial and boundary conditions, partial differential equations, numerical fractional analysis, optimization, integral equations, and iterative methods for solving nonlinear equations, systems, real problems in sciences, and engineering.

Prof. Dr. Juan R. Torregrosa
Guest Editor

Manuscript Submission Information

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • interpolation
  • approximation
  • numerical integration
  • optimization
  • stability
  • convergence
  • eigenvalues
  • singular values decomposition
  • discretization
  • iterative methods

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Published Papers

This special issue is now open for submission.
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