Numerical methods for differential equations

Numerical methods for differential equations is a research topic within Numerical Analysis. Science Explorer counts 37k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the development and analysis of numerical integration methods for solving differential equations, with a particular emphasis on exponential integrators, symplectic methods, time-stepping schemes, and variational integrators. The research covers a wide range of applications including the numerical solution of the Schrödinger equation, Hamiltonian systems, and matrix exponential computations.

• Numerical Integration
• Differential Equations
• Exponential Integrators
• Symplectic Methods
• Time-Stepping Schemes
• Variational Integrators
• Matrix Exponential
• Runge-Kutta Methods
• Schrödinger Equation
• Hamiltonian Systems