Asymptotic expansions for the solution of a linear PDE with a multifrequency highly oscillatory potential
Fuente:
arXiv
Saved in:
| Main Authors: | Perczyński, Rafał, Augustynowicz, Antoni |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
An adaptive radial basis function approach for efficiently solving multidimensional spatiotemporal integrodifferential equations
by: Xia, Mingtao, et al.
Published: (2026)
by: Xia, Mingtao, et al.
Published: (2026)
NumCalc: An open source BEM code for solving acoustic scattering problems
by: Kreuzer, Wolfgang, et al.
Published: (2023)
by: Kreuzer, Wolfgang, et al.
Published: (2023)
High resolution methods for time dependent problems with piecewise smooth solutions
by: Tadmor, Eitan
Published: (2003)
by: Tadmor, Eitan
Published: (2003)
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
Solving nonlinear Klein-Gordon equation with non-smooth solution by a geometric low-regularity integrator
by: Wang, Bin, et al.
Published: (2023)
by: Wang, Bin, et al.
Published: (2023)
Constructing stable, high-order finite-difference operators on point clouds over complex geometries
by: Hicken, Jason, et al.
Published: (2024)
by: Hicken, Jason, et al.
Published: (2024)
Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
by: Wang, Bin, et al.
Published: (2022)
by: Wang, Bin, et al.
Published: (2022)
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)
by: Petri, Louis, et al.
Published: (2026)
Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
by: Gjesteland, Anita, et al.
Published: (2026)
by: Gjesteland, Anita, et al.
Published: (2026)
A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
by: Reyes, Jorge, et al.
Published: (2024)
by: Reyes, Jorge, et al.
Published: (2024)
Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations
by: Lampert, Joshua, et al.
Published: (2024)
by: Lampert, Joshua, et al.
Published: (2024)
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)
by: Hicken, Jason
Published: (2026)
Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
by: Barsukow, Wasilij, et al.
Published: (2025)
by: Barsukow, Wasilij, et al.
Published: (2025)
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
A strong second-order two-stage explicit/implicit technique with spectral orthogonal basis Galerkin finite element method for two-dimensional Gray-Scott model
by: Ngondiep, Eric
Published: (2026)
by: Ngondiep, Eric
Published: (2026)
An efficient predictor-corrector approach with orthogonal spline collocation finite element technique for FitzHugh-Nagumo problem
by: Ngondiep, Eric
Published: (2026)
by: Ngondiep, Eric
Published: (2026)
Fast and stable computation of highly oscillatory and/or exponentially decaying integrals using a Clenshaw-Curtis product-integration rule
by: Dominguez, Victor
Published: (2025)
by: Dominguez, Victor
Published: (2025)
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
A Constrained Least-Squares Ghost Sample Points (CLS-GSP) Method for Differential Operators on Point Clouds
by: Ying, Ningchen, et al.
Published: (2024)
by: Ying, Ningchen, et al.
Published: (2024)
A third-order trigonometric integrator with low regularity for the semilinear Klein-Gordon equation
by: Wang, Bin, et al.
Published: (2024)
by: Wang, Bin, et al.
Published: (2024)
Explicit symmetric low-regularity integrators for the semilinear Klein-Gordon equation
by: Shen, Zhirui, et al.
Published: (2026)
by: Shen, Zhirui, et al.
Published: (2026)
On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
by: Artiano, Marco, et al.
Published: (2026)
by: Artiano, Marco, et al.
Published: (2026)
Stable decompositions of $hp$-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D
by: Karkulik, Michael, et al.
Published: (2018)
by: Karkulik, Michael, et al.
Published: (2018)
Parsimonious convolution quadrature
by: Melenk, Jens M., et al.
Published: (2024)
by: Melenk, Jens M., et al.
Published: (2024)
Computing rough solutions of the KdV equation below ${\bf L^2}$
by: Cao, Jiachuan, et al.
Published: (2025)
by: Cao, Jiachuan, et al.
Published: (2025)
Summation-by-parts operators for general function spaces: The second derivative
by: Glaubitz, Jan, et al.
Published: (2023)
by: Glaubitz, Jan, et al.
Published: (2023)
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
A Parallel-in-Time Combination Method for Parabolic Problems
by: Griebel, Michael, et al.
Published: (2025)
by: Griebel, Michael, et al.
Published: (2025)
Multiderivative time integration methods preserving nonlinear functionals via relaxation
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
Convergence of long-time stable variable-step arbitrary order ETD-MS scheme for gradient flows with Lipschitz nonlinearity
by: Chen, Wenbin, et al.
Published: (2025)
by: Chen, Wenbin, et al.
Published: (2025)
Maximum principle preserving time implicit DGSEM for nonlinear scalar conservation laws
by: Renac, Florent
Published: (2024)
by: Renac, Florent
Published: (2024)
Invariant domain preserving limiting of time explicit and time implicit discretizations for systems of conservation laws
by: Fanizza, Bartolomeo, et al.
Published: (2026)
by: Fanizza, Bartolomeo, et al.
Published: (2026)
Summation-by-parts operators for general function spaces: optimal nodes
by: Hale, Nicholas, et al.
Published: (2026)
by: Hale, Nicholas, et al.
Published: (2026)
A geometry aware arbitrary order collocation Boundary Element Method solver for the potential flow past three dimensional lifting surfaces
by: Cattarossi, Luca, et al.
Published: (2024)
by: Cattarossi, Luca, et al.
Published: (2024)
Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws
by: Xie, Zhengrong
Published: (2024)
by: Xie, Zhengrong
Published: (2024)
A semi-discrete Active Flux method for the Euler equations on Cartesian grids
by: Abgrall, Rémi, et al.
Published: (2023)
by: Abgrall, Rémi, et al.
Published: (2023)
A new class of entropy stable fluctuations for the discontinuous Galerkin method with application to the Saint-Venant-Exner model
by: Ersing, Patrick, et al.
Published: (2026)
by: Ersing, Patrick, et al.
Published: (2026)
An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model
by: Coquel, Frédéric, et al.
Published: (2020)
by: Coquel, Frédéric, et al.
Published: (2020)
A direct fast FFT-based implementation for high order finite element method on rectangular parallelepipeds for PDE
by: Zlotnik, Alexander, et al.
Published: (2016)
by: Zlotnik, Alexander, et al.
Published: (2016)
On the solution existence for collocation discretizations of time-fractional subdiffusion equations
by: Franz, Sebastian, et al.
Published: (2024)
by: Franz, Sebastian, et al.
Published: (2024)
Similar Items
-
An adaptive radial basis function approach for efficiently solving multidimensional spatiotemporal integrodifferential equations
by: Xia, Mingtao, et al.
Published: (2026) -
NumCalc: An open source BEM code for solving acoustic scattering problems
by: Kreuzer, Wolfgang, et al.
Published: (2023) -
High resolution methods for time dependent problems with piecewise smooth solutions
by: Tadmor, Eitan
Published: (2003) -
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023) -
Solving nonlinear Klein-Gordon equation with non-smooth solution by a geometric low-regularity integrator
by: Wang, Bin, et al.
Published: (2023)