Deependra Nigam
Biographic Data
| ID | 10127109 |
|---|---|
| NAME | Deependra Nigam |
| GIVEN NAMES | Deependra |
| FAMILY NAME | Nigam |
| SIGNATURE | NIGAM D |
| AFFILIATIONS | Uttarakhand State Council for Science and Technology |
| ORCID | 0000-0002-0403-3294 |
| VERIFIED | Yes |
| TOTAL WORKS | 2 |
| TOTAL CITATIONS | 0 |
| WORKS AS AUTHOR | 2 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 2024 |
| LATEST PUBLICATION YEAR | 2024 |
| H-INDEX | 0 |
A Novel Outlook on Finite Element Methods for Partial Differential Equations
We present a novel method for error control and adaptive strategies in finite element discretizations for optimization problems governed by partial differential equations. Utilizing the Lagrangian formalism, the objective is to identify stationary points of the first-order necessary optimality conditions. Mesh adaptation is guided by residual-based a posteriori error estimates derived through duality principles, enabling error control for any spe…
A Theoretical Outlook on Collocation Methods and Partial Differential Equations
The collocation method, leveraging wavelet-based techniques, provides a robust numerical framework for solving partial differential equations (PDEs) with improved accuracy, efficiency, and adaptability. By utilizing compactly supported Daubechies scaling functions, this method ensures key mathematical properties such as orthogonality, compact support, and vanishing moments, facilitating high-accuracy approximations with minimal computational over…
No prominent works on this page.
A Novel Outlook on Finite Element Methods for Partial Differential Equations
We present a novel method for error control and adaptive strategies in finite element discretizations for optimization problems governed by partial differential equations. Utilizing the Lagrangian formalism, the objective is to identify stationary points of the first-order necessary optimality conditions. Mesh adaptation is guided by residual-based a posteriori error estimates derived through duality principles, enabling error control for any spe…
A Theoretical Outlook on Collocation Methods and Partial Differential Equations
The collocation method, leveraging wavelet-based techniques, provides a robust numerical framework for solving partial differential equations (PDEs) with improved accuracy, efficiency, and adaptability. By utilizing compactly supported Daubechies scaling functions, this method ensures key mathematical properties such as orthogonality, compact support, and vanishing moments, facilitating high-accuracy approximations with minimal computational over…
Applied Mathematics (2 works) · Mathematical analysis (2 works) · Mathematics (2 works) · Partial differential equation (2 works) · Advanced Numerical Methods in Computational Mathematics (1 work) · Collocation method (1 work) · Computer Science (1 work) · Differential equation (1 work) · Digital Filter Design and Implementation (1 work) · Electromagnetic Simulation and Numerical Methods (1 work)