RESEARCH INSTITUTE
FOR COMPUTATIONAL MATHEMATICS AND PHYSICS (RICMP)

GOALS

Perform research of high quality in the area of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications

Capacitate researchers in Central Visayas region and other neighboring regions through advanced training program  to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications

Develop tools and methodologies based on approximation theory for the use in teaching and learning

ABOUT

Vision

A leading research institute committed to produce high quality researches in the field of approximation theory in capacitating the 21st century learners and educators.

Mission

The institute supports theoretical advancement related to approximation theory and to develop high quality research aimed at generating new knowledge and information necessary for capacitating researchers in Central Visayas region and other neighboring regions to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications.

DIVISION

DIVISION OF COMPUTATIONAL MATHEMATICS

DIVISION OF MATHEMATICAL AND MATERIAL PHYSICS

OBJECTIVES

Determine research trends in the area of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications to identify possible research problems;

Produce fully funded researches;

Publish papers in highly-indexed journals;

Host trainings, seminars and conferences to disseminate research results and to acquire new research problems from researchers abroad;

Propose a research-based  advanced training program (or Ph.D. in Mathematics program) on approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications;

Conduct or offer a research-based advanced training program (or Ph.D. in mathematics program) to train mathematics researchers to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications;

Train students to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications;

Produce a textbook on approximations of  special functions;

Develop a specialized journal with title “Approximations of Special Functions and Applications”.

FOCUS OF THE RESEARCH INSTITUTE

The institute will focus on research activities related to approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications that would produce results publishable in reputable and highly indexed journals. The institute will also focus on conducting trainings for the development of math and physics faculty in Cebu Normal University as well as math teachers in the region to become productive in research and to get updated on the recent trends in research in the fields, and developing tools and methodologies based on approximation theory for the use in teaching and learning.

ORGANIZATIONAL STRUCTURE

2022 ACCOMPLISHMENTS OF RICMP

                             I.   Training Workshops Conducted

  1. RICMP Lecture Series 2 and Research Proposal Write-shop

Date                   : February 18-19, 2022 Venue (Virtual) : Zoom

Resource Speaker : Dr. Cristina B. Corcino

RICMP Researcher

Title of the Talks:

  • Fourier Series of Some Special Functions;
  • Asymptotic Approximation of Some Special Functions Using Fourier Series

2.    Lecture Series and Training Workshop on Advanced Methods in Mathematical Research

Date    : September 28-30, 2022 Venue : Cebu Business Hotel, Cebu City

Resource Speaker:

Dr. Istvan Mezo

Research Professor, Nanjing University of Information Science and Technology Nanjing, China

3.    Lecture Series and Training Workshop on Writing Publishable Mathematics Articles

Date    : November 14-16, 2022 Venue : Cebu Business Hotel

Resource Speakers:

Dr. Roberto B. Corcino                      Dr. Cristina B. Corcino

RICMP Director                                 RICMP Researcher

                 II.       Publications in ISI/Scopus-Indexed Journals

Title/Authors

Status

Date of Publication

1) Integral Representation and Explicit Formula at Rational Arguments for Apostol–Tangent Polynomials

Cristina B. Corcino, Baby Ann Damgo, Joy Ann

Cañete and Roberto B. Corcino

Published

Symmetry, Volume 14 (2022), Article #35 https://doi.org/10.3390/sym14010035

Indexed by Web of Science (Clarivate Analytics, Category: SCIE) and SCOPUS

January 2022

2) Asymptotic Approximation of the Apostol-Tangent Polynomials Using Fourier Series

Cristina B. Corcino, Baby Ann Damgo, Joy Ann Cañete and Roberto B.

Corcino

Published

Symmetry, Volume 14 (2022), Article #53 https://doi.org/10.3390/sym14010053

Indexed by Web of Science (Clarivate Analytics, Category: SCIE) and SCOPUS

January 2022

3) Asymptotic Approximations of Apostol-Tangent Polynomials in terms of Hyperbolic Functions

Cristina B. Corcino, Wilson Castañeda, Jr. and Roberto B. Corcino

Published Online

Computer Modeling in Engineering and Sciences, Volume 132(1) (2022), 133-151

Indexed by Web of Science (Clarivate Analytics, Category: SCIE) and SCOPUS

January 2022

4) A q-analogue of generalized translated Whitney numbers: Cigler’s approach

Roberto B. Corcino, Jezer C. Fernandez and Mary Ann Ritzell P. Vega

Published

Journal of Mathematics and Computer Science, 24 (2022), 82–96.

Indexed by Web of Science and SCOPUS

January 2022

5) A (p, q)-analogue of Qi- type formula for r– Dowling numbers

Roberto B. Corcino, Mary

Ann Ritzell P. Vega and Amerah M. Dibagulun

Published

Journal of Mathematics and Computer Science, 24 (2022), 273–286.

Indexed by Web of Science and SCOPUS

January 2022

6) Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order

Cristina B. Corcino and Roberto B. Corcino

Published

Axioms, Volume 11 (2022), Article #86 https://doi.org/10.3390/axioms11030086

Indexed by Web of Science (Clarivate Analytics, Category: SCIE) and SCOPUS

February 2022

7) Fourier Series Expansion and Integral Representation of Apostol-Type Frobenius–Euler Polynomials of Complex Parameters and Order α

Cristina B. Corcino,

Roberto B. Corcino and Jeremar Casquejo

Published

Symmetry 2022, 14, 1860. https://doi.org/10.3390/sym14091860

Indexed by Web of Science (Clarivate Analytics, Category: SCIE) and SCOPUS

September 2022

8) Generalized Laguerre- Apostol-Frobenius-Type Poly-Genocchi Polynomials of Higher Order with Parameters a,b and c

Roberto B. Corcino and Cristina B. Corcino

Published

European Journal of Pure and Applied Mathematics, Vol. 15, No. 4, 2022, 1549-

1565

Indexed by Web of Science and SCOPUS

November 2022

9) Fourier Series for Bernoulli-Type Polynomials, Euler-Type Polynomials and Genocchi-Type Polynomials of Integer Order

Cristina B. Corcino and Roberto B. Corcino

Published

European Journal of Pure and Applied Mathematics, Vol. 15, No. 4, 2022, 1662-

1682

Indexed by Web of Science and SCOPUS

November 2022

                III. Completed Researches with Publishable Papers

Title/Authors

Status

Date of Completion

1. On Divisibility Property of Type 2 (p,q)- Analogue of r-Whitney Numbers of the Second Kind

Roberto B. Corcino and Cristina B. Corcino

Completed with Publishable Article

August 2022

2. Degenerate Apostol-Frobenius-Type Poly- Genocchi Polynomials of Higher Order with Parameters a and b

Roberto B. Corcino and Cristina B. Corcino

Completed with Publishable Article

December 2022

3. Asymptotic Expansions for large degree Tangent and Apostol-Tangent polynomials of complex order

Cristina B. Corcino, Roberto B. Corcino and Jeremar Casquejo

Completed with Publishable Article

December 2022

4. Approximations of Tangent Polynomials of Complex Order

Cristina B. Corcino, Baby Ann Damgo, Joy Ann Cañete and Roberto B. Corcino

Completed with Publishable Article

December 2022

5. Construction of Fourier series expansion and Integral representation of Apostol– Frobenius type Tangent and Genocchi polynomials

Roberto B. Corcino, Cristina B. Corcino, Karl Patrick Casas, Allan Roy Elnar and

Gibson Maglasang

Completed with Publishable Article

December 2022

6. Asymptotic Approximations of Apostol- Frobenius-Euler Polynomials of

Order α in terms of Hyperbolic Functions

Cristina B. Corcino, Wilson Castañeda, Jr. and Roberto B. Corcino

Completed with Publishable Article

December 2022

7. Forcing Super Fair Domination and Forcing Disjoint Restrained Domination in Graphs

Cris L. Armada

Completed with Publishable Article

December 2022

8. Forcing Inverse Domination and Forcing Inverse Independent Domination in Graphs

Cris L. Armada and Edward Kiunisala

Completed with Publishable Article

December 2022

IV. Paper Presentations in International and National Conferences

7
6
5
4
3
2
1
15
14
12
11
10
9
8

ARCHIVES

MID YEAR ACCOMPLISHMENT REPORT (JANUARY 2022 – JUNE 2022)

ANNUAL ACCOMPLISHMENT REPORT (C.Y. 2022)

YEAR-END REPORT (C.Y. 2021)

ANNUAL ACCOMPLISHMENT REPORT (C.Y 2021)

YEAR-END REPORT (C.Y. 2020)

ANNUAL ACCOMPLISHMENT REPORT (C.Y. 2020)

ANNUAL REPORT (C.Y. 2019)

ANNUAL ACCOMPLISHMENT REPORT (C.Y. 2019) 

ANNUAL ACCOMPLISHMENT REPORT (C.Y. 2018)

THREE-YEAR STRATEGIC PLAN

GOALS
OBJECTIVES
INITIATIVES/ PLANNED ACTIONS
SUCCESS INDICATORS
Perform research of high quality in the area of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications
1. Determine research trends in approximation theory with emphasis on special functions in combinatorics and mathematical physics to identify possible research problems.

a) Participate in national and international conferences.

b) Acquire resource materials from recent issues of international journals.

c) Communicate research collaborators abroad.


Number of acquired new research problems worthy for consideration

Number of international linkages and research collaborators abroad
2. Produce fully funded researches
a) Conduct proposal writeshop

b) Submit high impact research proposals for funding to appropriate funding agencies.

c) Implement the approved research projects.

d) Monitor and evaluate the progress of research projects.

e) Submit completed research projects to funding agencies
a) Number of full blown proposals

b) Number of Submitted proposals to funding agencies


c) Number of implemented proposals


d) Number of proposals monitored or evaluated

e) Number of externally and internally funded projects
GOALS
OBJECTIVES
INITIATIVES/ PLANNED ACTIONS
SUCCESS INDICATORS
3. Publish papers in highly indexed journals
a) Conduct in-house review inviting experts in the field as well as editors of local journals of mathematics and physics;

b) Identify appropriate and high quality indexed journals;

c) Submit final draft of manuscripts for possible publication in the identified journals
Number of published papers
4. Host trainings, seminars and conferences to disseminate research results and to acquire new research problems from researchers abroad
a) Invite international resource speakers and participants for the conduct of trainings/seminar workshop/conference programs
Wider dissemination of number of research outputs

Number of acquired new research problems worthy for consideration
Capacitate researchers in Central Visayas region and other neighboring regions through advanced training program to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications
1. Propose a research-based advanced training program (or Ph.D. in Mathematics program) on approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications;
Conduct feasibility study

Present the proposed training program (or Ph.D. Program) to academic council for endorsement to CNU Board of Regents

Approved training program (or Ph.D. Program)
GOALS
OBJECTIVES
INITIATIVES/ PLANNED ACTIONS
SUCCESS INDICATORS
2. Conduct or offer a research-based advanced training program (or Ph.D. in mathematics program) to train mathematics researchers to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications
a) Disseminate information about the offering of the program;

b) Invite potential mathematics researchers in Central Visayas region or other neighboring regions, who are graduates from CHED-Accredited MS Math program;
Number of registered qualified students in the training program (or Ph.D. Program) in mathematics
3. Train students to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics
a) Expose students to different research subareas in approximation theory to be able to choose the research topic to develop;

b) Engage students to actual research to comply all the requirements of the training course or research program
Number of trained or graduates in the offered program

Number of Published Paper
Develop tools and methodologies based on approximation theory for the use in teaching and learning
1. Produce a textbook on approximations of special functions

Collate all our published results on approximations of special functions and related topics
Published Book
2. Develop a specialized journal with title “Approximations of Special Functions and Applications”
a) Set – up journal editors (experts abroad)

b) Link journal to the existing CNU portal

c) Release two volumes of the journal annually

d) Submit journal for accreditation and indexing
Accredited and indexed journal for the institute

Pool of Research Experts (faculty/staff complement for the institute)

Name
Designation/Academic Rank
Qualifications
Dr. Roberto B. Corcino
Core Research Faculty/ Professor VI
Ph.D. Math degree holder
Dr. Cristina B. Corcino
Core Research Faculty/ Professor V
Ph.D. Math degree holder
Dr. Edward Kiunisala
Chairman of the CNU Math Department/Professor II
Ph.D. Math degree holder
Dr. Cris Armada
Faculty of CNU Math Department/Instructor
Ph.D. Math degree holder
Dr. Istvan Mezo
Adjunct Faculty from Nanjing University of Information Science and Technology/
Research Professor
Ph.D. Math degree holder
Jay M. Ontolan
Faculty of CNU Mathematics Department/
Assistant Professor
MS Mathematics degree holder
Allan Roy B. Elnar
Faculty of CNU Physics Department/
Assistant Professor
MS Physics degree holder
Ph.D. Physics (Candidate)
Gibson T. Maglasang
Faculty of CNU Physics Department/
Assistant Professor
MS Physics degree holder
Ph.D. Physics (Candidate)
Karl Patrick S. Casas
Faculty of CNU Physics Department/
Assistant Professor
MS Physics degree holder
Ph.D. Physics (Candidate)

Proposed Activities Per Schedule ( from September 2020 to 2023)

Major Tasks
Objectives
Activities to be Undertaken
Budget Requirement
Outcome Indicators
Perform research of high quality in the area of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications
1. Determine research trends in approximation theory with emphasis on special functions in combinatorics and mathematical physics to identify possible research problems.

a) Participate in national and international conferences;

b) Acquire resource materials from recent issues of international journals;

c) Communicate research collaborators abroad;
0.7M
Number of acquired new research problems worthy for consideration

Number of international linkages and research collaborators abroad
2) Produce fully funded researches
a) Conduct proposal writeshop;

b) Submit high impact research proposals for funding to appropriate funding agencies;

c) Implement the approved research projects;

d) Monitor and evaluate the progress of research projects;

e) Submit completed research projects to funding agencies;
0.2M
Number of externally and internally funded projects
3) Publish papers in highly indexed journals

a) Conduct in-house review inviting experts in the field as well as editors of local journals of mathematics and physics;
0.5M
Number of published papers
Major Tasks
Objectives
Activities to be Undertaken
Budget Requirement
Outcome Indicators
b) Identify appropriate and high quality indexed journals;

c) Submit final draft of manuscripts for possible publication in the identified journals;
4) Host trainings, seminars and conferences to disseminate research results and to acquire new research problems from researchers abroad
Invite international resource speakers and participants for the conduct of trainings/seminar workshop/ conference programs

0.8 M
Wider dissemination of number of research outputs

Number of acquired new research problems worthy for consideration
Capacitate researchers in Central Visayas region and other neighboring regions through advanced training program to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications
1. Propose a research-based advanced training program (or Ph.D. in Mathematics program) on approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications;
Conduct feasibility study

Present the proposed training program (or Ph.D. Program) to academic council for endorsement to CNU Board of Regents
0.05M
Approved training program (or Ph.D. Program)
2. Conduct or offer a research-based advanced training program (or Ph.D. in mathematics program) to train mathematics researchers to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics and their applications
a) Disseminate information about the offering of the program;

b) Invite potential mathematics researchers in Central Visayas region or other neighboring regions, who are graduates from CHED-Accredited MS Math program;

0.05M
Number of registered qualified students in the training program (or Ph.D. Program) in mathematics
3. Train students to become globally competitive in the research arena of approximation theory with emphasis on special functions in combinatorics and mathematical physics
a) Expose students to different research subareas in approximation theory to be able to choose the research topic to develop;

b) Engage students to actual research to comply all the requirements of the training course or research program
0.56M
Number of trained or graduates in the offered program

Number of Published Paper
Develop tools and methodologies based on approximation theory for the use in teaching and learning
1. Produce a textbook on approximations of special functions
Collate all our published results on approximations of special functions and related topics
0.2M








Published book
2. Develop a specialized journal with title “Approximations of Special Functions and Applications”
a) Set – up journal editors (experts abroad)

b) Link journal to the existing CNU portal

c) Release two volumes of the journal annually

d) Submit journal for accreditation and indexing
0.2M
Accredited and indexed journal for the institute

Contact Information

ROBERTO B. CORCINO, Ph.D.

Director, Research Institute for Computational Mathematics and Physics

corcinor@cnu.edu.ph

Jay M. Ontolan, M.S.

Chair, Division of Computational Mathematics

Research Institute for Computational Mathematics and Physics

ontolanj@cnu.edu.ph

Allan Roy B. Elnar, M.S.

Chair, Division of Mathematical and Material Physics

elnara@cnu.edu.ph

For RICMP contact number, we do not have a landline in 6th floor, TAC Building. Alternatively, you may contact the VPREP telephone number: (032) 254-1452 local 127

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