| Publication | Date of Publication | Type |
|---|
| A fast Strang splitting method with mass conservation for the space-fractional Gross-Pitaevskii equation | 2024-04-18 | Paper |
| Corrigendum to: ``Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson's formula twice | 2024-04-04 | Paper |
| A stiff-cut splitting technique for stiff semi-linear systems of differential equations | 2024-02-20 | Paper |
| BS invariance pressures for control systems | 2024-01-09 | Paper |
| An efficient red-black skewed extrapolation cascadic multigrid method for two-dimensional Poisson equation | 2024-01-05 | Paper |
| Efficient finite difference scheme for a hidden-memory variable-order time-fractional diffusion equation | 2024-01-05 | Paper |
| A class of one‐parameter alternating direction implicit methods for two‐dimensional wave equations with discrete and distributed time‐variable delays | 2023-12-16 | Paper |
| Splitting ADI scheme for fractional Laplacian wave equations | 2023-12-11 | Paper |
| Preconditioned fourth-order exponential integrator for two-dimensional nonlinear fractional Ginzburg-Landau equation | 2023-11-30 | Paper |
| Optimal error estimates of SAV Crank-Nicolson finite element method for the coupled nonlinear Schrödinger equation | 2023-11-16 | Paper |
| Preconditioning technique based on sine transformation for nonlocal Helmholtz equations with fractional Laplacian | 2023-09-25 | Paper |
| Sine transform based preconditioning techniques for space fractional diffusion equations | 2023-08-17 | Paper |
| High-order compact finite difference methods for solving the high-dimensional Helmholtz equations | 2023-07-04 | Paper |
| A Fast Two-Level Strang Splitting Method for Multi-Dimensional Spatial Fractional Allen-Cahn Equations with Discrete Maximum Principle | 2023-07-04 | Paper |
| An \(\alpha\)-robust fast algorithm for distributed-order time-space fractional diffusion equation with weakly singular solution | 2023-06-26 | Paper |
| Efficient and energy stable numerical schemes for the two-mode phase field crystal equation | 2023-06-20 | Paper |
| Numerical study of a fast two-level Strang splitting method for spatial fractional Allen-Cahn equations | 2023-06-20 | Paper |
| A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems | 2023-06-05 | Paper |
| A \(\tau \)-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation | 2023-01-23 | Paper |
| Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn-Hilliard equations | 2023-01-06 | Paper |
| A sixth-order quasi-compact difference scheme for multidimensional Poisson equations without derivatives of source term | 2022-12-13 | Paper |
| Preconditioners with symmetrized techniques for space fractional Cahn-Hilliard equations | 2022-08-04 | Paper |
| Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations | 2022-08-04 | Paper |
| Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations | 2022-07-11 | Paper |
| Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions | 2022-06-21 | Paper |
| A novel discrete fractional Grönwall-type inequality and its application in pointwise-in-time error estimates | 2022-06-17 | Paper |
| Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations | 2022-06-08 | Paper |
| Exponential-sum-approximation technique for variable-order time-fractional diffusion equations | 2022-05-31 | Paper |
| A stabilized fully-discrete scheme for phase field crystal equation | 2022-05-30 | Paper |
| A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations | 2022-05-27 | Paper |
| A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations | 2022-05-19 | Paper |
| Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations | 2022-05-11 | Paper |
| All-at-once method for variable-order time fractional diffusion equations | 2022-04-22 | Paper |
| An approximate inverse preconditioner for spatial fractional diffusion equations with piecewise continuous coefficients | 2022-02-17 | Paper |
| On variational properties of balanced central fractional derivatives | 2022-02-08 | Paper |
| A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes | 2022-02-04 | Paper |
| Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers' equation | 2022-01-27 | Paper |
| A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem | 2021-12-13 | Paper |
| Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations | 2021-11-29 | Paper |
| Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method | 2021-11-29 | Paper |
| An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order | 2021-10-15 | Paper |
| Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions | 2021-08-13 | Paper |
| A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains | 2021-08-05 | Paper |
| Fast implicit difference schemes for time‐space fractional diffusion equations with the integral fractional Laplacian | 2021-07-30 | Paper |
| Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations | 2021-04-15 | Paper |
| A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations | 2021-03-31 | Paper |
| Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations | 2021-03-24 | Paper |
| A three-level finite difference method with preconditioning technique for two-dimensional nonlinear fractional complex Ginzburg-Landau equations | 2021-02-11 | Paper |
| Chaotic Behaviors of One-Dimensional Wave Equations with van der Pol Boundary Conditions Containing a Source Term | 2021-02-05 | Paper |
| Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations | 2021-02-02 | Paper |
| Exponential-sum-approximation technique for variable-order time-fractional diffusion equations | 2021-01-20 | Paper |
| Fourth order finite difference schemes for time-space fractional sub-diffusion equations | 2020-10-11 | Paper |
| A fast method for variable-order Caputo fractional derivative with applications to time-fractional diffusion equations | 2020-09-07 | Paper |
| Double square moments and subconvexity bounds for Rankin-Selberg \(L\)-functions of holomorphic cusp forms | 2020-09-01 | Paper |
| Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations | 2020-06-16 | Paper |
| Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian | 2020-02-27 | Paper |
| An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients | 2020-02-24 | Paper |
| A two-step inexact Newton-Chebyshev-like method for inverse eigenvalue problems | 2019-11-04 | Paper |
| A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations | 2019-09-20 | Paper |
| Circulant preconditioners for a kind of spatial fractional diffusion equations | 2019-09-19 | Paper |
| A preconditioned fast finite difference scheme for space-fractional diffusion equations in convex domains | 2019-09-04 | Paper |
| Crank--Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients | 2019-09-02 | Paper |
| Further improvement on bounds for L-functions related to GL(3) | 2019-07-25 | Paper |
| A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation | 2019-06-24 | Paper |
| Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson's formula twice | 2019-06-06 | Paper |
| On the unsolvability of inverse singular value problems almost everywhere | 2019-04-29 | Paper |
| A primal-dual method for the Meyer model of cartoon and texture decomposition | 2019-03-01 | Paper |
| Measure-Theoretic Invariance Entropy for Control Systems | 2019-01-23 | Paper |
| Two‐step Newton‐type methods for solving inverse eigenvalue problems | 2018-11-29 | Paper |
| Efficient preconditioner of one-sided space fractional diffusion equation | 2018-09-20 | Paper |
| Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection–diffusion problems | 2018-07-25 | Paper |
| Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients | 2018-06-01 | Paper |
| Approximate inversion method for time‐fractional subdiffusion equations | 2018-04-18 | Paper |
| Fast Laplace transform methods for free-boundary problems of fractional diffusion equations | 2018-03-01 | Paper |
| Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase | 2018-02-26 | Paper |
| A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations | 2018-01-22 | Paper |
| A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations | 2017-12-14 | Paper |
| Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids | 2017-12-13 | Paper |
| Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations | 2017-10-27 | Paper |
| Exponential splitting for \(n\)-dimensional paraxial Helmholtz equation with high wavenumbers | 2017-07-26 | Paper |
| Weighted stationary phase of higher orders | 2017-06-14 | Paper |
| A CCD-ADI method for unsteady convection-diffusion equations | 2017-05-05 | Paper |
| Fast numerical solution for fractional diffusion equations by exponential quadrature rule | 2016-12-20 | Paper |
| Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence | 2016-12-05 | Paper |
| Some high-order difference schemes for the distributed-order differential equations | 2016-12-05 | Paper |
| Three-point combined compact difference schemes for time-fractional advection-diffusion equations with smooth solutions | 2016-12-05 | Paper |
| A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations | 2016-12-05 | Paper |
| A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations | 2016-11-10 | Paper |
| Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub‐diffusion equations | 2016-07-19 | Paper |
| Fast numerical contour integral method for fractional diffusion equations | 2016-05-13 | Paper |
| Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions | 2016-04-29 | Paper |
| Moments of \(L\)-functions attached to the twist of modular form by Dirichlet characters | 2015-04-20 | Paper |
| Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations | 2015-03-02 | Paper |
| A fast high-order sinc-based algorithm for pricing options under jump-diffusion processes | 2014-11-28 | Paper |
| A circulant preconditioner for fractional diffusion equations | 2014-08-27 | Paper |
| Combined compact difference scheme for linear second-order partial differential equations with mixed derivative | 2014-07-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4980765 | 2014-06-30 | Paper |
| Fast Exponential Time Integration for Pricing Options in Stochastic Volatility Jump Diffusion Models | 2014-05-22 | Paper |
| Diophantine approximation with one prime and three squares of primes | 2013-06-14 | Paper |
| Fast exponential time integration scheme for option pricing with jumps | 2013-03-21 | Paper |
| The ternary Goldbach-Vinogradov theorem with almost equal primes from the Beatty sequence | 2013-03-11 | Paper |
| Boundary value methods for transient solutions of queueing networks with variant vacation policy | 2012-07-09 | Paper |
| Shift-invert Lanczos method for the symmetric positive semidefinite Toeplitz matrix exponential | 2012-06-07 | Paper |
| Multigrid method for fractional diffusion equations | 2012-05-30 | Paper |
| The values of additive forms at prime arguments | 2012-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3018877 | 2011-07-27 | Paper |
| Prime in quadratic progressions on average | 2011-06-24 | Paper |
| Boundary value methods with the Crank–Nicolson preconditioner for pricing options in the jump-diffusion model | 2011-06-15 | Paper |
| Multigrid algorithm from cyclic reduction for Markovian queueing networks | 2011-04-19 | Paper |
| Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential | 2011-03-16 | Paper |
| On fractional power moments of \(L\)-functions associated with certain cusp forms | 2010-04-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3407987 | 2010-02-24 | Paper |
| On a generalization of Hua's theorem with five squares of primes | 2009-12-29 | Paper |
| Integers represented as the sum of one prime, two squares of primes and powers of 2 | 2009-04-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3501083 | 2008-06-03 | Paper |
| A high-order compact boundary value method for solving one-dimensional heat equations | 2004-03-15 | Paper |
| A high-order finite difference discretization strategy based on extrapolation for convection diffusion equations | 2004-03-15 | Paper |
| Recursive-Based PCG Methods for Toeplitz Systems with Nonnegative Generating Functions | 2004-01-20 | Paper |
| A fourth-order compact difference scheme on face centered cubic grids with multigrid method for solving 2D convection diffusion equation. | 2004-01-14 | Paper |
| High-order compact scheme with multigrid local mesh refinement procedure for convection-diffusion problems. | 2003-04-02 | Paper |
| Convergence of the multigrid method for ill-conditioned block Toeplitz systems | 2002-03-19 | Paper |
| Fast construction of optimal circulant preconditioners for matrices from the fast dense matrix method | 2001-02-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4218582 | 1999-06-07 | Paper |
| Multigrid Method for Ill-Conditioned Symmetric Toeplitz Systems | 1998-05-12 | Paper |
| A note on the convergence of the two-grid method for Toeplitz systems | 1997-11-13 | Paper |
