Jannis Körner

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All published works

Action	Title	Year	Authors
+	Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime	2024	Anton Arnold Christian Klein Jannis Körner Jens Markus Melenk
+ PDF Chat	WKB-based third order method for the highly oscillatory 1D stationary Schr\"odinger equation	2024	Anton Arnold Jannis Körner
+	Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime	2024	Anton Arnold Christian Klein Jannis Körner Jens Markus Melenk
+ PDF Chat	High-order WKB-based method for the 1D stationary Schrödinger equation in the semi-classical limit	2024	Anton Arnold Jannis Körner
+	High-order WKB-based Method For The 1D Stationary Schrödinger Equation In The Semi-classical Limit	2023	Anton Arnold Jannis Körner
+	Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation	2023	Jannis Körner Anton Arnold Christian Klein Jens Markus Melenk
+	WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime	2021	Jannis Körner Anton Arnold Kirian Döpfner
+	WKB-based scheme with adaptive step size control for the Schr\"odinger equation in the highly oscillatory regime.	2021	Jannis Körner Anton Arnold Kirian Döpfner

Common Coauthors

Coauthor	Papers Together
Anton Arnold	8
Christian Klein	3
Jens Markus Melenk	3
Kirian Döpfner	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit	2011	Anton Arnold Naoufel Ben Abdallah Claudia Negulescu	4
+ PDF Chat	Adiabatic Integrators for Highly Oscillatory Second-Order Linear Differential Equations with Time-Varying Eigendecomposition	2005	Katina Lorenz Tobias Jahnke Christian Lubich	4
+ PDF Chat	WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment	2021	Anton Arnold Christian Klein Bernhard Ujvari	4
+ PDF Chat	Efficient method for solving highly oscillatory ordinary differential equations with applications to physical systems	2020	Fruzsina J. Agocs Will Handley A. Lasenby M. P. Hobson	3
+	Numerical integrators for quantum dynamics close to the adiabatic limit	2003	Tobias Jahnke Christian Lubich	3
+	Highly Oscillatory Quadrature: The Story so Far	2007	Arieh Iserles Syvert P. Nørsett Sheehan Olver	2
+	Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations	2009	Ernst Hairer Christian Lubich Gerhard Wanner	2
+	None	2002	Gustaf Söderlind	2
+	A method for numerical integration on an automatic computer	1960	C. W. Clenshaw A. R. Curtis	2
+	The Runge-Kutta-Wentzel-Kramers-Brillouin Method	2016	Will Handley A. Lasenby M. P. Hobson	2
+	Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations	2018	Xinyuan Wu Bin Wang	2
+ PDF Chat	Stationary Schrödinger equation in the semi-classical limit: WKB-based scheme coupled to a turning point	2019	Anton Arnold Kirian Döpfner	2
+ PDF Chat	Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems	2019	Pierluigi Amodio Luigi Brugnano Felice Iavernaro	2
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	1
+ PDF Chat	Transient Schrödinger–Poisson simulations of a high-frequency resonant tunneling diode oscillator	2012	Jan-Frederik Mennemann Ansgar Jüngel H. Kosina	1
+ PDF Chat	Error estimates for the Clenshaw-Curtis quadrature	1968	M. M. Chawla	1
+	Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory	2012	Carl M. Bender Steven A. Orszag	1
+	WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime	2021	Jannis Körner Anton Arnold Kirian Döpfner	1
+ PDF Chat	Solving Ordinary Differential Equations I	1993	Ernst Hairer Gerhard Wanner Syvert P. Nørsett	1
+	Numerical Methods for Ordinary Differential Equations	2008	J. C. Butcher	1
+ PDF Chat	Spectrally accurate space-time solution of Hamiltonian PDEs	2018	Luigi Brugnano Felice Iavernaro J.I. Montijano L. Rández	1
+	WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment	2018	Anton Arnold C. Klein. B. Ujvari	1
+ PDF Chat	Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions	2017	Anton Arnold Claudia Negulescu	1
+	On the numerical solution of second order ordinary differential equations in the high-frequency regime	2016	James Bremer	1
+ PDF Chat	An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost	2024	Fruzsina J. Agocs Alex H. Barnett	1
+	On the errors incurred calculating derivatives using Chebyshev polynomials	1992	Kenneth Breuer Richard Everson	1
+ PDF Chat	Cosmological particle production and the precision of the WKB approximation	2005	Sergei Winitzki	1
+ PDF Chat	Some properties of WKB series	2000	Marko Robnik Valery G. Romanovski	1
+ PDF Chat	On the robust exponential convergence of hp finite element methods for problems with boundary layers	1997	Jens Markus Melenk	1
+	A Preconditioning Matrix for the Chebyshev Differencing Operator	1987	Daniele Funaro	1
+	WKB approximation for inflationary cosmological perturbations	2003	Jérôme Martin Dominik J. Schwarz	1