Numerical methods for differential equations
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Scope of this subject
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.
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Research vocabulary
Runge-Kutta method; stiff ordinary differential equations; numerical solution of ODEs; differential-algebraic equations; numerical solution of differential equations; multistep methods; linear multistep methods; symplectic integrators; A-stability; second-order ordinary differential equations; geometric numerical integration; numerical integration of ODEs; time integration; symplectic integration; Euler method; backward differentiation formula; order conditions; numerical integration of differential equations; zero stability; implicit Runge-Kutta methods; one-step methods; explicit Runge-Kutta methods; exponential integrators; local truncation error; high-order time integration
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Morton address: 36248976375063601 · morton4x16-v1
Coordinates: (3, 26, 2612, 11416). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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