Exponential integrators for second-order in time partial differential equations
DOI10.1007/s10915-022-02018-zOpenAlexW3215390700WikidataQ115382633 ScholiaQ115382633MaRDI QIDQ2103429
Publication date: 13 December 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.14705
semilinear wave equationsexponential integratorssemilinear beam equationscomputation of matrix functions
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) KdV equations (Korteweg-de Vries equations) (35Q53) Viscoelastic fluids (76A10) Nonlinear constitutive equations for materials with memory (74D10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) PDEs in connection with mechanics of deformable solids (35Q74) Numerical methods for stiff equations (65L04) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Numerical computation of matrix exponential and similar matrix functions (65F60)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential time differencing for stiff systems
- Generalized integrating factor methods for stiff PDEs
- High-fidelity numerical simulation of the dynamic beam equation
- Finite-dimensional controllers for robust regulation of boundary control systems
- Strongly damped wave problems: bootstrapping and regularity of solutions
- A study of extrapolation methods based on multistep schemes without parasitic solutions
- More explicit formulas for the matrix exponential
- Exponential Runge-Kutta methods for parabolic problems.
- Wave equations with strong damping in Hilbert spaces
- Dynamic responses of Euler-Bernoulli beam subjected to moving vehicles using isogeometric approach
- Global error bounds of one-stage extended RKN integrators for semilinear wave equations
- Explicit exponential Runge-Kutta methods of high order for parabolic problems
- Numerical integration of ordinary differential equations based on trigonometric polynomials
- Computing matrix functions
- Exponential integrators
- Some explicit formulas for the matrix exponential
- Smooth attractors for strongly damped wave equations
- Global existence of small solutions to a class of nonlinear evolution equations
- Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
- An Approximation Theory of Solutions to Operator Riccati Equations for $H^\infty$ Control
- Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
- Blow‐up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain
- Reduced Order Controller Design for Robust Output Regulation
- Solving Ordinary Differential Equations II
- Controller Design for Distributed Parameter Systems
- Optimal Actuator Design for Semilinear Systems
- Functions of Matrices
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
This page was built for publication: Exponential integrators for second-order in time partial differential equations
