| Publication | Date of Publication | Type |
|---|
| On the construction of solutions for the parabolic Dirac operator and equivalent systems | 2024-03-12 | Paper |
| Traveling‐wave solutions for a nonlinear non‐Ohmic cardioelectrophysiological tissue conduction cable equation | 2024-01-18 | Paper |
| A right inverse of curl which is divergence‐free invariant and some applications to generalized Vekua‐type problems | 2024-01-08 | Paper |
| High‐order finite difference/spectral‐Galerkin approximations for the nonlinear time–space fractional Ginzburg–Landau equation | 2023-11-23 | Paper |
| A fractional tumor-growth model and the determination of the power law for different cancers based on data fitting | 2023-11-16 | Paper |
| Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling | 2023-11-07 | Paper |
| A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs' free energy for a nonlinear combustion equation | 2023-10-17 | Paper |
| Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment | 2023-08-03 | Paper |
| Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells | 2023-07-15 | Paper |
| An alternative formulation of the differential quadrature method with a neural network perspective | 2023-07-03 | Paper |
| A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives | 2023-06-09 | Paper |
| A right inverse of curl operator which is divergence free invariant and some applications to generalized Vekua type problems | 2023-02-22 | Paper |
| Energy transmission in the forbidden band-gap of a nonlinear chain with global interactions | 2023-01-26 | Paper |
| A note on generalized vitali sets with respect to some arbitrary deformed sums | 2022-12-14 | Paper |
| On the wave transmission in a discrete nonlinear left-handed electrical lattice | 2022-11-09 | Paper |
| Design and convergence analysis of some implicit inertial methods for quasi-variational inequalities via the Wiener-Hopf equations | 2022-10-18 | Paper |
| Analysis of a scheme which preserves the dissipation and positivity of Gibbs' energy for a nonlinear parabolic equation with variable diffusion | 2022-10-18 | Paper |
| On the isomorphism of coneat-injective modules over commutative rings | 2022-10-12 | Paper |
| Some integral inequalities for generalized left and right log convex interval-valued functions based upon the pseudo-order relation | 2022-09-15 | Paper |
| A nonlinear discrete model for approximating a conservative multi-fractional Zakharov system: analysis and computational simulations | 2022-08-31 | Paper |
| A finite-difference discretization preserving the structure of solutions of a diffusive model of type-1 human immunodeficiency virus | 2022-08-25 | Paper |
| CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross-Pitaevskii system | 2022-07-22 | Paper |
| Nonlinear wave transmission in harmonically driven Hamiltonian sine-Gordon regimes with memory effects | 2022-04-21 | Paper |
| Discrete monotone method for space-fractional nonlinear reaction-diffusion equations | 2022-03-15 | Paper |
| A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times | 2022-02-18 | Paper |
| On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme | 2022-02-16 | Paper |
| Numerical efficiency of some exponential methods for an advection–diffusion equation | 2022-02-16 | Paper |
| Two energy-preserving numerical models for a multi-fractional extension of the Klein-Gordon-Zakharov system | 2022-02-11 | Paper |
| Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion-reaction equations | 2021-12-14 | Paper |
| Design and analysis of a dissipative scheme to solve a generalized multi-dimensional Higgs boson equation in the de Sitter space-time | 2021-12-14 | Paper |
| Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system | 2021-12-14 | Paper |
| Analysis and simulation of numerical schemes for nonlinear hyperbolic predator-prey models with spatial diffusion | 2021-12-14 | Paper |
| On a discrete model that dissipates the free energy of a time-space fractional generalized nonlinear parabolic equation | 2021-12-09 | Paper |
| On some properties of the solution set of one of Wilker's inequalities for complex numbers | 2021-10-18 | Paper |
| Derivation of a quasi-linear second-order elliptic-parabolic model for the efficiency of silicon solar cells | 2021-09-21 | Paper |
| On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: theoretical and numerical investigations | 2021-09-17 | Paper |
| An implicit semi-linear discretization of a bi-fractional Klein-Gordon-Zakharov system which conserves the total energy | 2021-08-05 | Paper |
| Second-order semi-discretized schemes for solving stochastic quenching models on arbitrary spatial grids | 2021-07-02 | Paper |
| An implicit and convergent method for radially symmetric solutions of Higgs' boson equation in the de Sitter space-time | 2021-06-03 | Paper |
| On a nonlinear energy-conserving scalar auxiliary variable (SAV) model for Riesz space-fractional hyperbolic equations | 2021-06-03 | Paper |
| Exact solutions of non-linear Klein-Gordon equation with non-constant coefficients through the trial equation method | 2021-05-10 | Paper |
| A dissipation-preserving scheme to approximate radially symmetric solutions of the Higgs boson equation in the de Sitter space-time | 2021-03-10 | Paper |
| Algorithm for some anomalously diffusive hyperbolic systems in molecular dynamics: theoretical analysis and pattern formation | 2021-01-27 | Paper |
| A parallelized computational model for multidimensional systems of coupled nonlinear fractional hyperbolic equations | 2021-01-27 | Paper |
| A numerically efficient variational algorithm to solve a fractional nonlinear elastic string equation | 2021-01-20 | Paper |
| Corrigendum to: ``A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system | 2020-10-23 | Paper |
| Supratransmission in \(\beta\)-Fermi-Pasta-Ulam chains with different ranges of interactions | 2020-10-23 | Paper |
| Fractional generalization of the Fermi-Pasta-Ulam-Tsingou media and theoretical analysis of an explicit variational scheme | 2020-10-23 | Paper |
| An integral of motion for the damped cubic-quintic Duffing oscillator with variable coefficients | 2020-10-22 | Paper |
| A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-Zakharov system | 2020-10-22 | Paper |
| A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations | 2020-10-22 | Paper |
| An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions | 2020-10-21 | Paper |
| Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains | 2020-10-16 | Paper |
| Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines | 2020-10-14 | Paper |
| Convergence and stability estimates in difference setting for time‐fractional parabolic equations with functional delay | 2020-10-12 | Paper |
| Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations | 2020-10-07 | Paper |
| Conciliating efficiency and dynamical consistency in the simulation of the effects of proliferation and motility of transforming growth factor \(\beta\) on cancer cells | 2020-09-19 | Paper |
| An energy-preserving and efficient scheme for a double-fractional conservative Klein-Gordon-Zakharov system | 2020-09-18 | Paper |
| On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme | 2020-07-21 | Paper |
| A dynamically consistent exponential scheme to solve some advection-reaction equations with Riesz anomalous diffusion | 2020-05-11 | Paper |
| A fully explicit variational integrator for multidimensional systems of coupled nonlinear fractional hyperbolic equations | 2020-04-27 | Paper |
| Simple efficient simulation of the complex dynamics of some nonlinear hyperbolic predator-prey models with spatial diffusion | 2020-04-24 | Paper |
| Energy transmission in Hamiltonian systems of globally interacting particles with Klein-Gordon on-site potentials | 2020-03-10 | Paper |
| Existence of solutions of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system | 2020-02-24 | Paper |
| A mathematical model that combines chemotherapy and oncolytic virotherapy as an alternative treatment against a glioma | 2020-02-20 | Paper |
| On the stability and convergence of an implicit logarithmic scheme for diffusion equations with nonlinear reaction | 2020-02-20 | Paper |
| A conservative scheme with optimal error estimates for a multidimensional space-fractional Gross-Pitaevskii equation | 2020-02-20 | Paper |
| Superenergy flux of Einstein–Rosen waves | 2020-02-14 | Paper |
| Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions | 2020-01-31 | Paper |
| A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations | 2019-12-12 | Paper |
| A numerically efficient Hamiltonian method for fractional wave equations | 2019-11-15 | Paper |
| On the isomorphism of injective objects in Grothendieck categories | 2019-10-15 | Paper |
| Theoretical analysis of an explicit energy-conserving scheme for a fractional Klein-Gordon-Zakharov system | 2019-09-18 | Paper |
| An efficient and fully explicit model to simulate delayed activator-inhibitor systems with anomalous diffusion | 2019-09-04 | Paper |
| A bounded and efficient scheme for multidimensional problems with anomalous convection and diffusion | 2019-07-03 | Paper |
| The noisy Pais-Uhlenbeck oscillator | 2019-07-01 | Paper |
| An efficient Hamiltonian numerical model for a fractional Klein-Gordon equation through weighted-shifted Grünwald differences | 2019-07-01 | Paper |
| Some exact solutions of a hyperbolic model of energy transmission in non-homogeneous media | 2019-06-20 | Paper |
| On a positivity-preserving numerical model for a linearized hyperbolic Fisher-Kolmogorov-Petrovski-Piscounov equation | 2019-06-20 | Paper |
| On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy | 2019-06-20 | Paper |
| A structure-preserving Bhattacharya method for nonlinear parabolic equations with fractional diffusion and advection | 2019-06-20 | Paper |
| On the numerical and structural properties of a logarithmic scheme for diffusion-reaction equations | 2019-06-13 | Paper |
| Complex pattern formation arising from wave instabilities in a three-agent chemical system with superdiffusion | 2019-05-29 | Paper |
| Nonlinear supratransmission in fractional wave systems | 2019-05-29 | Paper |
| A dynamically consistent method to solve nonlinear multidimensional advection-reaction equations with fractional diffusion | 2019-02-13 | Paper |
| A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation | 2018-12-13 | Paper |
| Traveling-wave solutions of a generalized damped wave equation with time-dependent coefficients through the trial equation method | 2018-11-08 | Paper |
| A structure-preserving computational method in the simulation of the dynamics of cancer growth with radiotherapy | 2018-11-08 | Paper |
| Some remarks on an exact and dynamically consistent scheme for the Burgers-Huxley equation in higher dimensions | 2018-10-16 | Paper |
| A structure-preserving method for the distribution of the first hitting time to a moving boundary for some Gaussian processes | 2018-08-29 | Paper |
| A modified exponential method that preserves structural properties of the solutions of the Burgers–Huxley equation | 2018-05-17 | Paper |
| A mathematical model for the pre-diagnostic of glioma growth based on blood glucose levels | 2018-04-12 | Paper |
| A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives | 2017-12-13 | Paper |
| Finite-difference modeling à la Mickens of the distribution of the stopping time in a stochastic differential equation | 2017-08-25 | Paper |
| Existence and uniqueness of positive and bounded solutions of a discrete population model with fractional dynamics | 2017-08-21 | Paper |
| On a conditionally stable nonlinear method to approximate some monotone and bounded solutions of a generalized population model | 2017-06-09 | Paper |
| AN EFFICIENT RECURSIVE ALGORITHM IN THE COMPUTATIONAL SIMULATION OF THE BOUNDED GROWTH OF BIOLOGICAL FILMS | 2017-04-07 | Paper |
| CORRIGENDUM: "AN EFFICIENT RECURSIVE ALGORITHM IN THE COMPUTATIONAL MODELING OF THE BOUNDED GROWTH OF BIOLOGICAL FILMS" | 2017-04-07 | Paper |
| On Modules Which are Isomorphic to Relatively Divisible or Pure Submodules of Each Other | 2017-03-20 | Paper |
| A compact exponential method for the efficient numerical simulation of the dewetting process of viscous thin films | 2017-02-22 | Paper |
| A deterministic model for the distribution of the stopping time in a stochastic equation and its numerical solution | 2017-02-09 | Paper |
| On \(S^1\) as an alternative continuous opinion space in a three-party regime | 2017-02-09 | Paper |
| A modified Bhattacharya exponential method to approximate positive and bounded solutions of the Burgers-Fisher equation | 2017-02-09 | Paper |
| A convergent and dynamically consistent finite-difference method to approximate the positive and bounded solutions of the classical Burgers-Fisher equation | 2017-02-09 | Paper |
| An equivalence criterion for the generalized injectivity of modules with respect to algebraic classes of homomorphisms | 2016-08-26 | Paper |
| On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential equations | 2016-03-29 | Paper |
| A differential quadrature-based approach à la Picard for systems of partial differential equations associated with fuzzy differential equations | 2016-02-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3456172 | 2015-12-11 | Paper |
| An integro-differential generalization and dynamically consistent discretizations of some hyperbolic models with nonlinear damping | 2015-11-16 | Paper |
| A fast and unconditionally positive finite-difference discretization of a multidimensional equation in nonlinear population dynamics | 2015-09-07 | Paper |
| A positive finite-difference model in the computational simulation of complex biological film models | 2015-08-24 | Paper |
| A Mickens‐type discretization of a diffusive model with nonpolynomial advection/convection and reaction terms | 2015-05-29 | Paper |
| Positive computational modelling of the dynamics of active and inert biomass with extracellular polymeric substances | 2015-04-24 | Paper |
| On the convergence of a nonlinear finite-difference discretization of the generalized Burgers–Fisher equation | 2015-04-24 | Paper |
| A positive and bounded finite element approximation of the generalized Burgers-Huxley equation | 2015-01-06 | Paper |
| A finite-difference scheme in the computational modelling of a coupled substrate-biomass system | 2014-11-28 | Paper |
| On an exact numerical simulation of solitary-wave solutions of the Burgers-Huxley equation through Cardano's method | 2014-10-31 | Paper |
| On the convergence of a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation | 2014-10-24 | Paper |
| On the Unions of Ascending Chains of Direct Sums of Ideals of h-Local Prüfer Domains | 2014-08-21 | Paper |
| Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation | 2014-07-18 | Paper |
| On a fully discrete finite-difference approximation of a nonlinear diffusion–reaction model in microbial ecology | 2014-05-20 | Paper |
| A skew symmetry-preserving computational technique for obtaining the positive and the bounded solutions of a time-delayed advection-diffusion-reaction equation | 2014-04-30 | Paper |
| A Mickens-type monotone discretization for bounded travelling-wave solutions of a Burgers–Fisher partial differential equationa* | 2013-12-27 | Paper |
| A two-step conditionally bounded numerical integrator to approximate some traveling-wave solutions of a diffusion-reaction equation | 2013-05-28 | Paper |
| A BOUNDED FINITE-DIFFERENCE DISCRETIZATION OF A TWO-DIMENSIONAL DIFFUSION EQUATION WITH LOGISTIC NONLINEAR REACTION | 2013-03-20 | Paper |
| Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping | 2013-03-15 | Paper |
| On the union of increasing chains of torsion-free modules over integral domains | 2013-02-08 | Paper |
| On a boundedness-preserving semi-linear discretization of a two-dimensional nonlinear diffusion–reaction model | 2013-01-22 | Paper |
| A note on the direct limit of increasing sequences of completely decomposable modules over integral domains | 2012-07-20 | Paper |
| An explicit positivity-preserving finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation | 2012-06-18 | Paper |
| A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation | 2012-05-23 | Paper |
| On some explicit non-standard methods to approximate nonnegative solutions of a weakly hyperbolic equation with logistic nonlinearity | 2012-05-23 | Paper |
| A bounded numerical method for approximating a hyperbolic and convective generalization of Fisher's model with nonlinear damping | 2012-05-18 | Paper |
| On completely decomposable and separable modules over Prüfer domains | 2012-05-04 | Paper |
| On some criteria for the balanced projectivity of modules over integral domains | 2012-01-03 | Paper |
| On the controlled propagation of wave signals in a sinusoidally forced two-dimensional continuous Frenkel-Kontorova model | 2011-12-22 | Paper |
| A computational technique with multiple properties of consistency in the study of modified \(\beta \)-Fermi-Pasta-Ulam chains | 2011-10-13 | Paper |
| An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium | 2011-10-02 | Paper |
| Bit propagation in \((2+1)\)-dimensional systems of coupled sine-Gordon equations | 2011-09-30 | Paper |
| On the transmission of binary bits in discrete Josephson-junction arrays | 2011-09-27 | Paper |
| Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations | 2011-09-23 | Paper |
| An alternative proof of Hill's criterion of freeness for abelian groups | 2011-07-29 | Paper |
| On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system | 2011-06-30 | Paper |
| A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation | 2011-02-14 | Paper |
| An explicit finite-difference method for the approximate solutions of a generic class of anharmonic dissipative nonlinear media | 2010-11-10 | Paper |
| On the Propagation of Binary Signals in a Two-Dimensional Nonlinear Lattice with Nearest-Neighbor Interactions | 2010-10-15 | Paper |
| A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation | 2010-08-13 | Paper |
| A generalization of the Pontryagin-Hill theorems to projective modules over Prüfer domains | 2010-06-11 | Paper |
| Positivity-preserving methods for a linearised Fisher–KPP equation with consistency properties in the energy domain | 2010-04-21 | Paper |
| NONLINEAR SUPRATRANSMISSION AND NONLINEAR BISTABILITY IN A FORCED LINEAR ARRAY OF ANHARMONIC OSCILLATORS: A COMPUTATIONAL STUDY | 2010-04-08 | Paper |
| COMPUTATIONAL STUDY OF THE TRANSMISSION OF ENERGY IN A TWO-DIMENSIONAL LATTICE WITH NEAREST-NEIGHBOR INTERACTIONS | 2010-04-08 | Paper |
| ON THE GENERATION OF LOCALIZED NONLINEAR MODES IN A LINEAR ARRAY OF ANHARMONIC OSCILLATORS | 2010-02-01 | Paper |
| Numerical treatment of the spherically symmetric solutions of a generalized Fisher-Kolmogorov-Petrovsky-Piscounov equation | 2009-08-05 | Paper |
| On the bifurcation of energy in media governed by \((2+1)\)-dimensional modified Klein-Gordon equations | 2009-01-14 | Paper |
| A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a Dirichlet boundary-value problem | 2008-10-31 | Paper |
| An energy-based computational method in the analysis of the transmission of energy in a chain of coupled oscillators | 2008-03-26 | Paper |
| On the propagation of binary signals in damped mechanical systems of oscillators | 2007-05-23 | Paper |
| A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein‐Gordon equation | 2005-10-18 | Paper |
