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Physical Sciences → Mathematics → Numerical Analysis

Numerical methods for differential equations

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.

71K works worldwide1.1M citations
Numerical IntegrationDifferential EquationsExponential IntegratorsSymplectic MethodsTime-Stepping SchemesVariational IntegratorsMatrix ExponentialRunge-Kutta MethodsSchrödinger EquationHamiltonian Systems

Journals publishing in this area

Articles on Scinovex in this research area

21 articles, most cited first

  1. A family of modified backward differentiation formula (BDF) type block methods for the solution of stiff ordinary differential equations
    International Journal of Statistics and Applied Mathematics · 2020 · 6 citations · AI summary
  2. Numerical application of third derivative hybrid block methods on third order initial value problem of ordinary differential equations
    International Journal of Statistics and Applied Mathematics · 2019 · 4 citations
  3. On stability of first order linear impulsive differential equations
    International Journal of Statistics and Applied Mathematics · 2018 · 2 citations
  4. Variational iteration method for solving coupled nonlinear system of Klein-Gordon equations
    International Journal of Statistics and Applied Mathematics · 2022 · 1 citations
  5. Mamadu-Njoseh polynomial-based Projected Heun method for solving initial value problems
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  6. A weighted five-stage strang splitting scheme for the viscous burgers equation
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  7. Comparative Study of Runge-Kutta (RK4) vs. Adams-Bashforth-Moulton for Solving the Three-Body Problem
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  8. Comparing the Simpson 1/3 and Simpson 3/8 Rules using Newton's Progressive Formula
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  9. Numerical investigation of the Korteweg–de Vries–Burgers equation using quintic B-spline differential quadrature and Crank–Nicolson integration
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  10. Comparison between numerical analysis methods and methods for solving complex differential equations
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  11. Investigating runge-kutta methods for stiff differential systems with applications to chao phraya urban heat island effects
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  12. Formulating symplectic geometry of hamiltonian systems with applications to borneo peat swamp carbon stocks
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  13. Stability analysis of discrete dynamical system using khan-iteration technique
    International Journal of Statistics and Applied Mathematics · 2024 · 0 citations
  14. New exact wave solution of KMN equation by the exponential rational function method
    International Journal of Statistics and Applied Mathematics · 2024 · 0 citations
  15. New cubic b-spline origination and procedure of newton TAGE technique for reason of two-point BVP
    International Journal of Statistics and Applied Mathematics · 2022 · 0 citations · AI summary
  16. A family of r-points 1-block implicit methods with optimized region of stability for stiff initial value problems in ordinary differential equations
    International Journal of Statistics and Applied Mathematics · 2022 · 0 citations · AI summary
  17. Analysis of linear difference equations with variable coefficients
    International Journal of Statistics and Applied Mathematics · 2021 · 0 citations · AI summary
  18. KB method for obtaining an approximate solution of slowly varing amplitude and phase of nonlinear differential systems with varying coefficients
    International Journal of Statistics and Applied Mathematics · 2020 · 0 citations
  19. An introduction to differential equations
    International Journal of Statistics and Applied Mathematics · 2018 · 0 citations · AI summary
  20. Efficient numerical scheme for non-conservative form of a traffic flow model
    International Journal of Statistics and Applied Mathematics · 2018 · 0 citations
  21. Theoretical concept of linear higher and algebraic equations
    International Journal of Statistics and Applied Mathematics · 2018 · 0 citations · AI summary