| Publication | Date of Publication | Type |
|---|
| On new approximations of Caputo–Prabhakar fractional derivative and their application to reaction–diffusion problems with variable coefficients | 2024-03-21 | Paper |
| An implicit scheme for time-fractional coupled generalized Burgers' equation | 2024-03-05 | Paper |
| High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations | 2024-01-16 | Paper |
| A finite difference method for a singularly perturbed 2‐D elliptic convection‐diffusion PDEs on Shishkin‐type meshes with non‐smooth convection and source terms | 2024-01-02 | Paper |
| Quadratic B‐spline collocation method for time dependent singularly perturbed differential‐difference equation arising in the modeling of neuronalactivity | 2023-12-12 | Paper |
| A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction-diffusion equations exhibiting weak initial singularity | 2023-07-21 | Paper |
| A robust numerical technique for weakly coupled system of parabolic singularly perturbed reaction-diffusion equations | 2023-06-13 | Paper |
| A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution | 2022-06-08 | Paper |
| A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters | 2022-01-20 | Paper |
| A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms | 2021-12-14 | Paper |
| A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems | 2021-12-14 | Paper |
| Analysis of a nonlinear singularly perturbed Volterra integro-differential equation | 2021-12-14 | Paper |
| Numerical solution of time‐fractional singularly perturbed convection–diffusion problems with a delay in time | 2021-07-30 | Paper |
| Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature | 2019-11-27 | Paper |
| Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points | 2019-06-21 | Paper |
| Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter | 2019-06-20 | Paper |
| Accurate Numerical Integration of Perturbed Oscillatory Systems in Two Frequencies | 2017-05-19 | Paper |
| A unified approach for the development of \(k\)-step block Falkner-type methods for solving general second-order initial-value problems in ODEs | 2017-02-09 | Paper |
| A first approach in solving initial-value problems in ODEs by elliptic fitting methods | 2017-02-09 | Paper |
| A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative | 2016-09-12 | Paper |
| On the choice of the frequency in trigonometrically-fitted methods for periodic problems | 2014-10-28 | Paper |
| A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error | 2014-10-09 | Paper |
| The application of Newton's method in vector form for solving nonlinear scalar equations where the classical Newton method fails | 2014-09-29 | Paper |
| Periodics orbits and $\mathcal {C}^{1}$C1-integrability in the planar Stark–Zeeman problem | 2014-01-14 | Paper |
| Computer science and mathematics for chemistry-related applications. [Guest editorial to the special issue: Recent advances in computational chemistry -- CMMSE 2010 and CMMSE 2011. Held in Alicante, June 26--30, 2011] | 2012-07-03 | Paper |
| A numerical ODE solver that preserves the fixed points and their stability | 2011-03-09 | Paper |
| A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems | 2010-10-18 | Paper |
| Exponential fitting BDF-Runge-Kutta algorithms | 2010-10-18 | Paper |
| Mathematical and computational tools in theoretical chemistry | 2010-10-06 | Paper |
| Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm | 2010-10-06 | Paper |
| Mathematical and computational methods with applications in chemistry and physics | 2010-10-06 | Paper |
| On the frequency choice in trigonometrically fitted methods | 2010-09-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3183048 | 2009-10-16 | Paper |
| On the numerical solution of the heat conduction equations subject to nonlocal conditions | 2009-08-07 | Paper |
| Multistep numerical methods for the integration of oscillatory problems in several frequencies | 2009-06-30 | Paper |
| A note on efficient techniques for the second-order parabolic equation subject to non-local conditions | 2009-04-30 | Paper |
| Exponential fitted Gauss, Radau and Lobatto methods of low order | 2008-08-20 | Paper |
| Explicit finite difference schemes adapted to advection–reaction equations | 2008-04-29 | Paper |
| A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems | 2008-04-29 | Paper |
| A family of A-stable Runge Kutta collocation methods of higher order for initial-value problems | 2008-01-16 | Paper |
| An almost L‐stable BDF‐type method for the numerical solution of stiff ODEs arising from the method of lines | 2008-01-08 | Paper |
| High order smoothing schemes for inhomogeneous parabolic problems with applications in option pricing | 2008-01-08 | Paper |
| Adapted BDF algorithms: Higher-order methods and their stability | 2007-10-12 | Paper |
| Numeric multistep variable methods for perturbed linear system integration | 2007-09-19 | Paper |
| Exponential fitting BDF algorithms and their properties | 2007-09-19 | Paper |
| Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.'s | 2007-05-11 | Paper |
| A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations | 2007-05-11 | Paper |
| On smoothing of the Crank-Nicolson scheme and higher order schemes for pricing barrier options | 2007-05-11 | Paper |
| Adapted BDF algorithms applied to parabolic problems | 2007-03-30 | Paper |
| A new eighth-order A-stable method for solving differential systems arising in chemical reac\-tions | 2007-01-24 | Paper |
| Exponential fitting BDF algorithms: explicit and implicit 0-stable methods | 2006-05-29 | Paper |
| Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\) | 2006-05-29 | Paper |
| An efficient numerical method for singular perturbation problems | 2006-05-29 | Paper |
| Variable stepsize Störmer-Cowell methods | 2006-02-16 | Paper |
| Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods | 2006-02-16 | Paper |
| Stochastic methods for Dirichlet problems | 2006-01-23 | Paper |
| A variable-step Numerov method for the numerical solution of the Schrödinger equation | 2005-08-05 | Paper |
| A note on step-size selection in the Störmer-Cowell methods | 2005-02-23 | Paper |
| On the stability of exponential fitting BDF algorithms | 2005-02-23 | Paper |
| A modified Runge–Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems | 2005-02-23 | Paper |
| High order Bessel fitting methods for the numerical integration of the Schrödinger equation | 2005-02-23 | Paper |
| A parallel boundary value technique for singularly perturbed two-point boundary value problems | 2005-01-19 | Paper |
| Controlling the error growth in long–term numerical integration of perturbed oscillations in one or several frequencies | 2004-08-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4472364 | 2004-08-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4445152 | 2004-01-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4445153 | 2004-01-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4445166 | 2004-01-28 | Paper |
| Modification of the Richardson-Panovsky methods for precise integration of satellite orbits. | 2003-12-14 | Paper |
| Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers. | 2003-09-15 | Paper |
| New Itô--Taylor expansions | 2003-09-15 | Paper |
| Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations. | 2003-09-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4784583 | 2003-06-17 | Paper |
| Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation | 2003-04-03 | Paper |
| Weak Second Order Conditions for Stochastic Runge--Kutta Methods | 2003-01-05 | Paper |
| New numerical method improving the integration of time in KS regularization | 2002-11-12 | Paper |
| Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation | 2002-09-03 | Paper |
| An exponentially-fitted high order method for long-term integration of periodic initial-value problems | 2002-09-01 | Paper |
| Analysis of a Numerical Dynamic Programming Algorithm Applied to Economic Models | 2002-05-28 | Paper |
| A NEW MODIFIED RUNGE–KUTTA–NYSTRÖM METHOD WITH PHASE-LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION AND RELATED PROBLEMS | 2002-05-27 | Paper |
| A note on the step size selection in Adams multistep methods | 2002-03-26 | Paper |
| A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation | 2001-12-18 | Paper |
| A parallel ODE solver adapted to oscillatory problems | 2001-10-14 | Paper |
| Backward differentiation formulae adapted to scalar linear equations | 2001-08-07 | Paper |
| ENCKE METHODS ADAPTED TO REGULARIZING VARIABLES | 2001-01-14 | Paper |
| An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems | 2000-12-03 | Paper |
| VSVO multistep formulae adapted to perturbed second-order differential equations | 2000-03-15 | Paper |
| A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems | 1998-09-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4011661 | 1992-09-27 | Paper |
