| Publication | Date of Publication | Type |
|---|
| Time discretization for modeling migration of groundwater contaminant in the presence of micro-organisms via a semi-analytic method | 2024-01-05 | Paper |
| A modified dual-level fast multipole boundary element method for large-scale three-dimensional potential problems | 2023-06-12 | Paper |
| A meshless method to solve the variable-order fractional diffusion problems with fourth-order derivative term | 2022-10-19 | Paper |
| Recent advances of stretched Gaussian distribution underlying Hausdorff fractal distance and its applications in fitting stretched Gaussian noise | 2022-08-17 | Paper |
| Feasibility study on the least square method for fitting non-Gaussian noise data | 2022-06-23 | Paper |
| A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics | 2021-10-11 | Paper |
| Evaluating the Origin Intensity Factor in the Singular Boundary Method for Three-Dimensional Dirichlet Problems | 2021-10-06 | Paper |
| A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation | 2021-09-30 | Paper |
| Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method | 2021-09-30 | Paper |
| Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method | 2021-09-29 | Paper |
| Numerical approximations for space-time fractional Burgers' equations via a new semi-analytical method | 2021-06-23 | Paper |
| EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR | 2021-01-29 | Paper |
| The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems | 2020-12-10 | Paper |
| A fractal roughness model for the transport of fractional non-Newtonian fluid in microtubes | 2020-12-03 | Paper |
| A non-local structural derivative model for characterization of ultraslow diffusion in dense colloids | 2020-10-21 | Paper |
| Continuous time random walk model with asymptotical probability density of waiting times via inverse Mittag-Leffler function | 2020-10-21 | Paper |
| A spatial fractional seepage model for the flow of non-Newtonian fluid in fractal porous medium | 2020-10-21 | Paper |
| Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime | 2020-10-08 | Paper |
| Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations | 2020-10-05 | Paper |
| A fractal derivative model for the characterization of anomalous diffusion in magnetic resonance imaging | 2020-09-19 | Paper |
| Singular boundary method for 2D dynamic poroelastic problems | 2020-05-29 | Paper |
| FROM FRACTAL TO A GENERALIZED FRACTAL: NON-POWER-FUNCTION STRUCTAL METRIC | 2020-04-29 | Paper |
| A time-space Hausdorff derivative model for anomalous transport in porous media | 2020-04-23 | Paper |
| A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis | 2020-04-03 | Paper |
| A SPECULATIVE STUDY ON NEGATIVE-DIMENSIONAL POTENTIAL AND WAVE PROBLEMS BY IMPLICIT CALCULUS MODELING APPROACH | 2020-03-12 | Paper |
| A modified singular boundary method for three-dimensional high frequency acoustic wave problems | 2020-02-12 | Paper |
| A local structural derivative PDE model for ultraslow creep | 2020-02-05 | Paper |
| A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary | 2019-11-21 | Paper |
| Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems | 2019-09-26 | Paper |
| Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method | 2019-07-22 | Paper |
| A new data fitting method for stretched Gaussian noise: stretched least square method | 2019-06-10 | Paper |
| Stability analysis and a numerical scheme for fractional Klein‐Gordon equations | 2019-03-21 | Paper |
| Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes | 2019-03-12 | Paper |
| Simulation of the band structure for scalar waves in 2D phononic crystals by the singular boundary method | 2019-03-12 | Paper |
| A local radial basis function collocation method to solve the variable‐order time fractional diffusion equation in a two‐dimensional irregular domain | 2019-02-15 | Paper |
| Singular boundary method based on time‐dependent fundamental solutions for active noise control | 2019-02-15 | Paper |
| Hausdorff Calculus | 2019-02-06 | Paper |
| Hyers-Ulam stability and existence criteria for coupled fractional differential equations involving \(p\)-Laplacian operator | 2019-02-04 | Paper |
| A speculative extension of the differential operator definition to fractal via the fundamental solution | 2018-12-10 | Paper |
| Connecting complexity with spectral entropy using the Laplace transformed solution to the fractional diffusion equation | 2018-11-13 | Paper |
| Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models | 2018-11-13 | Paper |
| Regularized formulation of potential field gradients in singular boundary method | 2018-10-19 | Paper |
| A new formulation of regularized meshless method applied to interior and exterior anisotropic potential problems | 2018-10-09 | Paper |
| Application of the generalized finite difference method to three-dimensional transient electromagnetic problems | 2018-08-15 | Paper |
| Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials | 2018-08-15 | Paper |
| A meshless generalized finite difference method for inverse Cauchy problems associated with three-dimensional inhomogeneous Helmholtz-type equations | 2018-08-10 | Paper |
| Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations | 2018-08-10 | Paper |
| Symmetric singular boundary method for potential problems with mixed boundary conditions | 2018-08-09 | Paper |
| A simple accurate formula evaluating origin intensity factor in singular boundary method for two-dimensional potential problems with Dirichlet boundary | 2018-08-09 | Paper |
| Stress analysis for two-dimensional thin structural problems using the meshless singular boundary method | 2018-08-09 | Paper |
| Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method | 2018-08-09 | Paper |
| A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction | 2018-08-09 | Paper |
| An extended exponential transformation for evaluating nearly singular integrals in general anisotropic boundary element method | 2018-08-09 | Paper |
| Singular boundary method using time-dependent fundamental solution for transient diffusion problems | 2018-08-09 | Paper |
| Average source boundary node method for potential problems | 2018-08-09 | Paper |
| Characterization of elastic parameters for functionally graded material by a meshfree method combined with the NMS approach | 2018-06-01 | Paper |
| Effects of surface tension on the nanoindentation with a conical indenter | 2018-04-11 | Paper |
| A general algorithm for evaluating nearly strong-singular (and beyond) integrals in three-dimensional boundary element analysis | 2018-03-14 | Paper |
| Error bounds of singular boundary method for potential problems | 2018-02-19 | Paper |
| A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals | 2018-01-25 | Paper |
| Riemann equation for prime number diffusion | 2017-11-17 | Paper |
| Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator | 2017-11-14 | Paper |
| A Contact SPH Method with High-Order Limiters for Simulation of Inviscid Compressible Flows | 2017-10-27 | Paper |
| Fast Solution for Solving the Modified Helmholtz Equation withthe Method of Fundamental Solutions | 2017-10-27 | Paper |
| Vertical distribution of suspended sediment under steady flow: existing theories and fractional derivative model | 2017-09-12 | Paper |
| Local method of approximate particular solutions for two-dimensional unsteady Burgers' equations | 2017-08-09 | Paper |
| The singular boundary method for two-dimensional static thermoelasticity analysis | 2017-08-03 | Paper |
| Singular boundary method for heat conduction problems with certain spatially varying conductivity | 2017-05-03 | Paper |
| A FAST METHOD OF FUNDAMENTAL SOLUTIONS FOR SOLVING HELMHOLTZ-TYPE EQUATIONS | 2017-04-07 | Paper |
| Singular Boundary Method for Various Exterior Wave Applications | 2017-04-07 | Paper |
| Singular boundary method for acoustic eigenanalysis | 2017-04-06 | Paper |
| An investigation on the regularized meshless method for irregular domain problems | 2017-03-14 | Paper |
| Differential Quadrature and Cubature Methods forSteady-State Space-Fractional Advection-DiffusionEquations | 2017-02-27 | Paper |
| Singular Boundary Method: Three RegularizationApproaches and ExteriorWave Applications | 2017-02-27 | Paper |
| Homotopy Method for Parameter Determination of SoluteTransport with Fractional Advection-dispersion Equation | 2017-02-27 | Paper |
| Boundary Layer Effect in Regularized Meshless Methodfor Laplace Equation | 2017-02-27 | Paper |
| Fast Boundary Knot Method for Solving Axisymmetric Helmholtz Problems with High Wave Number | 2017-02-27 | Paper |
| A meshless singular boundary method for three‐dimensional elasticity problems | 2016-12-30 | Paper |
| Band gap calculations of photonic crystals by singular boundary method | 2016-12-22 | Paper |
| A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction | 2016-12-20 | Paper |
| Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping | 2016-12-20 | Paper |
| One‐step boundary knot method for discontinuous coefficient elliptic equations with interface jump conditions | 2016-12-14 | Paper |
| Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion | 2016-12-14 | Paper |
| The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements | 2016-12-13 | Paper |
| A new radial basis function for Helmholtz problems | 2016-12-13 | Paper |
| Investigation on near-boundary solutions by singular boundary method | 2016-12-13 | Paper |
| Infinite domain potential problems by a new formulation of singular boundary method | 2016-12-05 | Paper |
| Space-fractional advection-dispersion equations by the Kansa method | 2016-12-05 | Paper |
| Singular boundary method using time-dependent fundamental solution for scalar wave equations | 2016-11-16 | Paper |
| Gauss-Jacobi-type quadrature rules for fractional directional integrals | 2016-09-26 | Paper |
| A semi-discrete finite element method for a class of time-fractional diffusion equations | 2016-05-30 | Paper |
| Singular boundary method for inverse heat conduction problems in general anisotropic media | 2016-01-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5260114 | 2015-06-29 | Paper |
| Fractional derivative anomalous diffusion equation modeling prime number distribution | 2015-06-01 | Paper |
| A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures | 2015-05-27 | Paper |
| An ACA accelerated MFS for potential problems | 2014-10-16 | Paper |
| Singular boundary method for modified Helmholtz equations | 2014-10-16 | Paper |
| The singular boundary method: mathematical background and application in orthotropic elastic problems | 2014-10-16 | Paper |
| Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method | 2014-08-07 | Paper |
| Boundary particle method for Laplace transformed time fractional diffusion equations | 2014-07-01 | Paper |
| Numerical investigation on three treatments for eliminating the singularities of acoustic fundamental solutions in the singular boundary method | 2014-06-24 | Paper |
| Numerical comparison of two boundary meshless methods for water wave problems | 2014-06-24 | Paper |
| Recent advances in singular boundary method for ultra-thin structural problems | 2014-06-24 | Paper |
| Numerical solution of fractional telegraph equation by using radial basis functions | 2014-05-26 | Paper |
| Fast multipole accelerated boundary knot method for inhomogeneous Helmholtz problems | 2014-05-26 | Paper |
| The localized RBFs collocation methods for solving high dimensional PDEs | 2014-05-26 | Paper |
| Combinations of the method of fundamental solutions for general inverse source identification problems | 2014-05-07 | Paper |
| Finite-time stabilization of dynamic nonholonomic wheeled mobile robots with parameter uncertainties | 2014-04-08 | Paper |
| The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number | 2014-01-17 | Paper |
| Robust synchronization of incommensurate fractional-order chaotic systems via second-order sliding mode technique | 2013-09-09 | Paper |
| Recent advances on radial basis function collocation methods | 2013-08-16 | Paper |
| Three Boundary Meshless Methods for Heat Conduction Analysis in Nonlinear FGMs with Kirchhoff and Laplace Transformation | 2013-05-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4919313 | 2013-05-08 | Paper |
| Regularized meshless method for nonhomogeneous problems | 2013-03-25 | Paper |
| Boundary knot method for heat conduction in nonlinear functionally graded material | 2013-03-25 | Paper |
| FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION | 2013-03-06 | Paper |
| A Matlab toolbox for fractional relaxation-oscillation equations | 2013-02-14 | Paper |
| Analytical diagonal elements of regularized meshless method for regular domains of 2D Dirichlet Laplace problems | 2012-08-07 | Paper |
| A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique | 2012-08-07 | Paper |
| A method of fundamental solutions without fictitious boundary | 2012-08-07 | Paper |
| Investigation on the spurious eigenvalues of vibration plates by non-dimensional dynamic influence function method | 2012-08-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2886769 | 2012-06-01 | Paper |
| Boundary particle method for Cauchy inhomogeneous potential problems | 2012-05-18 | Paper |
| ON OPTIMAL SELECTION OF INTERIOR POINTS FOR APPLYING DISCRETIZED BOUNDARY CONDITIONS IN DQ VIBRATION ANALYSIS OF BEAMS AND PLATES | 2012-04-18 | Paper |
| Boundary Particle Method with High-Order Trefftz Functions | 2012-02-07 | Paper |
| Potential Problems by Singular Boundary Method Satisfying Moment Condition | 2012-02-06 | Paper |
| Material Point Method with RBF Interpolation | 2012-02-06 | Paper |
| An Intuitive Study of Fractional Derivative Modeling and Fractional Quantum in Soft Matter | 2012-01-17 | Paper |
| A new investigation into regularization techniques for the method of fundamental solutions | 2011-03-25 | Paper |
| A Dynamic-Order Fractional Dynamic System | 2011-03-01 | Paper |
| Investigation of regularized techniques for boundary knot method | 2011-02-17 | Paper |
| Analytical study on the fractional anomalous diffusion in a half-plane | 2011-01-07 | Paper |
| Random-order fractional differential equation models | 2010-12-29 | Paper |
| A coupled method for inverse source problem of spatial fractional anomalous diffusion equations | 2010-12-15 | Paper |
| A novel numerical method for infinite domain potential problems | 2010-10-08 | Paper |
| Fractional diffusion equations by the Kansa method | 2010-06-28 | Paper |
| Anomalous diffusion modeling by fractal and fractional derivatives | 2010-06-28 | Paper |
| Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence | 2009-12-15 | Paper |
| Winkler plate bending problems by a truly boundary-only boundary particle method | 2009-11-06 | Paper |
| MULTISCALE STATISTICAL MODEL OF FULLY-DEVELOPED TURBULENCE PARTICLE ACCELERATIONS | 2009-06-05 | Paper |
| A speculative study of 2∕3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures | 2008-11-03 | Paper |
| A generic solution to realize public verifiability of signcryption | 2007-06-01 | Paper |
| Boundary knot method based on geodesic distance for anisotropic problems | 2006-06-30 | Paper |
| Levy-Kolmogorov scaling of turbulence | 2005-06-15 | Paper |
| Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems. | 2003-12-09 | Paper |
| Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry | 2003-11-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4793547 | 2003-06-26 | Paper |
| An explanation of infrared catastrophe of 1/f power spectra | 2003-05-09 | Paper |
| 1/f spectral trend and frequency power law of lossy media | 2003-05-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4781993 | 2003-04-24 | Paper |
| Physical interpretation of fractional diffusion-wave equation via lossy media obeying frequency power law | 2003-03-17 | Paper |
| High-order fundamental and general solutions of convection-diffusion equation and their applications to boundary particle method | 2003-02-17 | Paper |
| Meshfree boundary particle method applied to Helmholtz problems | 2003-02-17 | Paper |
| Symmetric boundary knot method | 2003-02-17 | Paper |
| Fractional Laplacian, Levy stable distribution, and time-space models for linear and nonlinear frequency-dependent lossy media | 2002-12-30 | Paper |
| Modified Szabo's wave equation models for lossy media obeying frequency power law | 2002-12-30 | Paper |
| A study on time schemes for DRBEM analysis of elastic impact wave | 2002-09-25 | Paper |
| A meshless, integration-free, and boundary-only RBF technique | 2002-08-15 | Paper |
| Coupling dual reciprocity BEM and differential quadrature method for time-dependent diffusion problems | 2002-06-03 | Paper |
| New RBF collocation schemes and their applications | 2001-11-20 | Paper |
| Direct linearization method for nonlinear PDE's and the related kernel RBFs | 2001-09-29 | Paper |
| Α Study on Radial Basis Function and Quasi-Monte Carlo Methods | 2001-02-11 | Paper |
| Relationship Theorem between Nonlinear Polynomial Equations and the Corresponding Jacobian Matrix | 2001-02-11 | Paper |
| Dual reciprocity BEM applied to transient elastodynamic problem with differential quadrature method in time. | 2001-01-01 | Paper |
| New Insights in Boundary-only and Domain-type RBF Methods | 2000-09-14 | Paper |
| Boundary knot method: A meshless, exponential convergence, integration-free, and boundary-only RBF technique | 2000-04-28 | Paper |
| A Lyapunov formulation for efficient solution of the Poisson and convection-diffusion equations by the differential quadrature method | 1999-09-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4388380 | 1999-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2785814 | 1997-07-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4716115 | 1997-07-07 | Paper |
| The structure of weighting coefficient matrices of harmonic differential quadrature and its applications | 1996-11-27 | Paper |