Asymptotic solvers for oscillatory systems of differential equations

DOI10.1007/BF03322583zbMath1242.65132MaRDI QIDQ435136

Marissa Condon, Arieh Iserles, Alfredo Deaño

Publication date: 11 July 2012

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Trigonometric approximation (42A10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (5)

Asymptotic-numerical solvers for highly oscillatory second-order differential equations ⋮ Bounds on asymptotic-numerical solvers for ordinary differential equations with extrinsic oscillation ⋮ Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems ⋮ High order numerical methods for highly oscillatory problems ⋮ Efficient representation and accurate evaluation of oscillatory integrals and functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On systems of differential equations with extrinsic oscillation
• The heterogeneous multiscale methods
• Nonlinear differential equations and dynamical systems
• Modulated Fourier expansions of highly oscillatory differential equations
• A method of characteristics for solving multirate partial differential equations in radio frequency application
• Multi time scale differential equations for simulating frequency modulated signals
• A multiscale method for highly oscillatory ordinary differential equations with resonance
• Solving Ordinary Differential Equations I
• Frequency locking in an injection-locked frequency divider equation
• On second-order differential equations with highly oscillatory forcing terms
• Asymptotic and numerical homogenization
• On numerical methods for highly oscillatory problems in circuit simulation
• On highly oscillatory problems arising in electronic engineering
• Modulated Fourier expansions and heterogeneous multiscale methods
• Efficient quadrature of highly oscillatory integrals using derivatives
• Geometric Numerical Integration
• Efficient transient simulation of interconnect networks

This page was built for publication: Asymptotic solvers for oscillatory systems of differential equations